**Best Reference Books on Finite Element Methods**, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of

**Finite Element Methods Books**with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Finite Element Methods below.

- Introduction to Finite Elements Methods
- Finite Element Methods
- Advance Finite Element Methods
- Finite Element Method and Analysis
- Finite Element Applications to Flow Problems
- Modeling and Finite Element Analysis
- Nonlinear Finite Element Method
- Finite Element Methods in Geotechnical Engineering
- Mathematical Theory of Finite Elements

## 1. Introduction to Finite Elements Methods

1."Introduction to Finite Elements in Engineering" by T R Chandrupatla and A D Belegundu
Book Review: This is a very suitable textbook for graduate and undergraduate students and also to the practicing engineers in the field of finite elements in engineering. This book is also designed for students in undergraduate or graduate pursuing mechanical or materials science engineering. The book covers all the concepts related to finite element methodologies. This book can be used as a textbook by teachers who are coaching this subject. This book provides the approach to finite element methodologies. The development of finite element theory is broadly explained with necessary images and also its applications are explained. It has several chapters which contain subtopics. It starts with an introduction to the finite elements in the current world. It later on explains the applications and various protocols which are to be taken care of. The book also contains numerous examples and exercises that involve engineering applications. The book explains concepts in the form of self contained computer programs. The book has been revised and updates thereby containing many additional topics.
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2."Introduction to the Finite Element Method" by J N Reddy Book Review: The book covers all the advancements in the field of finite element methods. This book very nicely explains the mathematics underlying the concepts of finite element method and also provides a generic approach to the engineering application areas. The book contains numerous examples and homework problems that cover most of the engineering areas thereby making the book suitable for engineering majors. The book also has solutions to end-of-chapter problems and also contains new chapters on FEM1D, FEM2D computer programs and many more. The book is mainly known for its strong conceptual approach. The book also contains solutions to the problems and contains many computer programs as well. | |

3."Finite Element Analysis: Theory and Programming" by C S Krishnamoorthy
Book Review: This book provides in depth description of theory along with many computer programs that is very easily understandable by the students and engineers for stress analysis. The book also develops the finite element formulations with the help of easy to follow derivations required for the analysis of plane stress and strain, axisymmetric solid, plate bending, three dimensional solid and shell programs. The book explains concepts in the form of self contained computer programs. The book has been revised and updates thereby containing many additional topics.
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4."Introduction to Approximate Solution Techniques, Numerical Modeling, & Finite Element Methods" by Victor N Kaliakin
“Introduction to Approximate Solution Techniques, Numerical Modeling, & Finite Element Methods” Book Review: The purpose of this book is to introduce the readers with approximation solution techniques and finite element methods. The topics like governing equations, computer storage, finite difference method, weighted residuals, finite element method and its analysis, element interpolation function, element mapping, implementation, and modeling are described in detail. Each chapter ends with a bunch of exercises. The later section of the book is written from a mathematical point of view thus contains many equations and mathematical concepts. The content of the book is explained using diagrams, figures, and tables. The book will be suitable for civil, mechanical, structural, aerospace, and industrial engineers.
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5."Introduction to Finite Element, Boundary Element, and Meshless Methods" by Darrell W Pepper
“Introduction to Finite Element, Boundary Element, and Meshless Methods” Book Review: The book presents a reader friendly theory of finite elements and then describes boundary element and meshless methods in detail. It begins with the description of finite differences, finite volume, finite element, boundary element, and meshless methods. All these methods are clearly explained using 1D examples. Moving forward, the book highlights the development and progress in finite, boundary, and meshless methods. The book also introduces some other techniques related to the preceding methods.
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6."Introduction to The Finite Element Method : A Numerical Method for Engineering Analysis" by Chandrakant S Desai
“Introduction to Finite Element Method” Book Review: This book provides a fundamental overview on finite element methods. It covers the basic and advanced aspects of the topic. It does not presume that the reader has any knowledge on the subject. It covers topics like structure-related problems, fluid, and heat-related problems and more. It provides information on variational calculus, presents functionals for structural analysis and flow problems. It is written in an easy to understand format and provides numerous solved and unsolved examples for enhanced understanding. This book is designed focusing on students, teachers, and professionals in the field of engineering and science.
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7."Introduction to Finite Element Method" by Godbole P N
“Introduction to Finite Element Method” Book Review: The book will be suitable for the undergraduate and postgraduate students of civil and mechanical engineering. The book presents fundamentals of finite element method in a reader friendly manner. It is basically for the students interested in stress analysis but will be useful for other backgrounds as well as practicing engineers. The book contains a detailed description of Isoparametric elements, numerical integration, shell elements, non-linear problems, dynamic analysis, and Rayleigh-Ritz method. A chapter based on shape functions is included in this book. The solution techniques of equations and numerical integration are highlighted. It contains a chapter based on shape functions. The featured topics are clearly explained with the help of examples. The practicing engineers will also find this work helpful.
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8."A Pragmatic Introduction to the Finite Element Method for Thermal and Stress Analysis" by Petr Krysl
“A Pragmatic Introduction to the Finite Element Method for Thermal and Stress Analysis” Book Review: The book presents a detailed description of Galerkin finite element method required in transient heat conduction and elastodynamics. The chapters based on boundary conditions and weighted residuals methods are included in this piece of writing. The book explains both derivation as well as the implementation of the governing equations. The problems related to initial boundary conditions are given for self-study and self-assessment. Plenty of examples are used to illustrate given methods and equations.
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9."Introduction to the Finite Element Method: Theory, Programming and Applications" by Erik G Thompson
“Introduction to the Finite Element Method: Theory, Programming and Applications” Book Review: The book offers an introduction to the finite element method with the help of its theory and coding. The initial chapters of the book features topics like calculus of variation, finite element program, linear second order differential equations, finite element functions, and Poisson’s equation. The remaining chapters thoroughly explain higher order elements, analysis of transient behavior, elasticity, and higher order equations. A chapter highlighting the program used for solving two-dimensional boundary value problems is included. The topics are explained using many equations, formulas, diagrams, figures, and examples. The applications of finite element methods, used for solving various engineering problems are mentioned in this book.
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10."Multiscale Finite Element Methods: Theory and Applications" by Yalchin Efendiev Thomas Y Hou
“Multiscale Finite Element Methods: Theory and Applications” Book Review: The book is an excellent blend of practical concepts, numerical results, and analysis of multiscale finite element methods. The chapters of this book include multiscale finite elements, multiscale finite element methods, applications of multiscale finite element methods, and analysis of various problems and cases. Each chapter ends with numerical examples. The book will be beneficial for the graduate students in applied mathematics and multiscale computations. It will be equally important for the engineers and applied scientists related to multiscale simulations.
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11."FUNDAMENTALS OF FINITE ELEMENT ANALYSIS" by David Hutton
“FUNDAMENTALS OF FINITE ELEMENT ANALYSIS” Book Review: This book is useful to the undergraduate students of civil or mechanical engineering departments. It provides students a practical understanding of the principles of the finite element method with various engineering applications. It covers basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background. The chapters include basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method. It allows application of finite element analysis to nonstructural problems. This book acts as a source for selection of homework problems and examples for professors. It contains complete problem solutions for proper understanding.
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12."Automatic Mesh Generation Applications to Finite Element Methods" by P L George
“Automatic Mesh Generation Applications to Finite Element Methods” Book Review: This book has been designed for graduates and undergraduates who are pursuing mechanical engineering. It is also useful for the professionals and teachers. Research students can also use this book. This book offers an in-depth survey of existing techniques for mesh generation. A number of problems are given and their solutions carefully explained. Also includes detailed coverage of traditional structured grids along with unstructured meshes of triangles and tetrahedra. This book maintains the fundamental concepts covered in the first edition. It is an introductory text for advanced undergraduates and first-year graduate students.
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## 2. Finite Element Methods

1."The Finite Element Method" by O C Zienkiewicz
Book Review: This book explains the basic methodologies of finite element methods and also deals with various aspects of linear programming. The book also covers latest advancements in the field of finite element method. The book covers both basic and advanced topic that are used in the modeling and analysis of finite element methods. The book also contains numerous examples that deal with the applications of finite element methods. The book teaches and provides a good reference to this subject.
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2."Finite Element Procedures" by K J Bathe
Book Review: This book demonstrates those finite element procedures and a very important part of analysis of engineering and various scientific investigations. The book also stresses on various finite element procedures. The book also formulates linear and nonlinear analysis of solids, fluids, structures and multiphysics problems. The book also discusses many solution techniques for finite element methods. The book also describes the procedures that depict the latest developments in the field of finite element procedures.
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3."The Finite Element Method and Applications in Engineering" by Erdogan Madenci
Book Review: This book covers both the theoretical and practical aspects of finite element methods. The book also presents the skills that are needed to analyze engineering problems related to finite element methods and its applications. The book also covers fundamental as well as advanced topics related to the modeling and analysis of finite element method and its applications. The book is accompanied with colored diagrams as well as screenshots thereby making the concepts very easy to understand.
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4."FINITE ELEMENT METHODS" by R DHANARAJ | |

5."The Finite Element Method" by Juan C Heinrich
“The Finite Element Method” Book Review: The book is a well-structured and reader-friendly piece of work presenting all the fundamentals and key concepts of finite element method. The chapters cover methods of weighted residuals and Galerkin approximations, set of algebraic equations, finite element method in dimensional problems, initial and boundary condition, and few computer codes. Various governing equations like transport equations for heat transfer are used as a tool for solving various problems. The content of this book is illustrated using various examples, exercises, and problems. The applications of finite element method in various fields are highlighted in this text. The book will be useful for the undergraduate students of mechanical, aeronautical, electrical, chemical, and civil engineering.
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6."An Introduction to the Finite Element Method" by Reddy J N
“An Introduction to the Finite Element Method” Book Review: This book can be referred by students, professionals and researchers who want to gain knowledge about the ‘Finite element method’. The book is a detailed piece of writing covering all the major aspects of finite element method. It begins with an introduction of the finite element method and then features all the basic principles, concepts, techniques, and topics related to it. To give better practical knowledge and relatable content to the readers, the book highlights applications of finite element method in several engineering areas. The book contains many examples and exercises for self-study and self-assessment of the readers.
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7."The Finite Element Method in Engineering" by Singiresu S Rao
“The Finite Element Method in Engineering” Book Review: The book will be useful for the students of mechanical, structural, civil, and aerospace engineering. It will be equally important for the professional engineers and practicing engineers of the preceding fields. This book explains principles of finite element analysis. The book covers a vast theory of finite element methods. It explains the connection of this concept with mathematically based engineering tools. The book explains in a practical approach and is easy to use. It covers basic mathematical principles and analytical methods used to find finite solutions to mathematical equations. It contains sections on comparisons between finite element analysis and other analytical methods highlighting their advantages and disadvantages. The topics like discretization of the domain, interpolation models, higher order and isoparametric elements, derivation of element matrices and vectors, assembly of element matrices and vectors, equations of fluid mechanics, derivation of system equations, and inviscid and irrotational are described in detail. The chapters covering numerical solutions of finite element equations, quasi-harmonic equations, Helmhotz equations, and Reynolds equations are included in this book. The applications of finite element methods in various fields are mentioned in this text. The book highlights the applications of finite element methods in Matlab, Ansys, and Abaqus. The theory is supported by a lot of examples and exercises. The book contains several examples and each chapter ends with a bunch of exercises.
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8."A First Course in the Finite Element Method" by Daryl L Logan | |

9."Structural Analysis with the Finite Element Method. Linear Statics" by Eugenio Oaate
“Structural Analysis with the Finite Element Method. Linear Statics” Book Review: The book is useful for the department of engineering and for the students interested in finite element analysis. The book is an excellent blend of theoretical as well as computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The book describes many structural models and applications of finite element formulation in various problems that are faced in structural engineering. The topics like inclined supports, elastic foundations, stress smoothing, error estimation, and adaptive mesh refinement techniques are thoroughly explained. A chapter featuring mesh generation and visualization of FEM results is added to this book. The book will be beneficial for the students and practicing engineers related to finite element analysis. Solved and unsolved problems as well as exercises are included in this book.
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10."Multilevel Finite Element Approximation: Theory and Applications" by Peter Oswald
“Multilevel Finite Element Approximation: Theory and Applications” Book Review: The material of the book is based on lectures given by the author at the Institutes of Mathematics and Informatics at the Technical University of Munich during February /March 1993.
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11."Finite Element Procedures in Engineering Analysis" by K J Bathe
Book Review: This is a very suitable book for finite element methods and is useful for the branches of civil, mechanical, aerospace, agriculture and mechanical departments. The book provides introduction to all the finite element methods and also explains the state of art methods along with a stress on classical techniques, standard procedures and finite element analysis. The book is very useful for graduate students and professionals. The book also describes the common factors involved in various techniques.
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## 3. Advance Finite Element Methods

1."Introduction to Nonlinear Finite Element Analysis" by Nam-Ho Kim
“Introduction to Nonlinear Finite Element Analysis” Book Review: This book contains the important concepts of nonlinear finite element analysis procedures. It explains the theories and the methods to apply the concepts to solving practical engineering problems. The book focuses on nonlinear elasticity, elastoplasticity, and contact problems. Four programs are used – ANSYS, NASTRAN, ABAQUS, and MATLAB. Methods for students to develop their individual programs are also provided. This book is very useful for beginners or students learning FEA.
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2."Advanced Topics in Finite Element Analysis of Structures: With Mathematica and MATLAB Computations" by M Asghar Bhatti
“Advanced Topics in Finite Element Analysis of Structures: With Mathematica and MATLAB Computations” Book Review: This book helps in developing the fundamental mathematical theory of the finite element method, along with the most widely used technique for engineering design and analysis. This book contains theory as well as experimental and hands-on methods of learning FEA through mathematics and MATLAB exercises. It provides all the prerequisites needed to learn all the topics, and it is useful for beginners and students. It contains many problems of nonlinearity, contact problems, beam elements, elastic solids, etc. It also explains multifield formulations for beam and elastic elements. It also has exercises of varying nature for good practice and understanding as well along with a very practical approach which enhances the creative part of the reader. This book will be very useful for who wants a deep dive of the topic.
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3."Advanced Finite Element Method in Structural Engineering" by Yu-Qiu Long and Song Cen
“Advanced Finite Element Method in Structural Engineering” Book Review: This book introduces theoretical achievements and their applications in the fields of structural engineering and computational mechanics. The book also shows the new strategies for avoiding difficulties that already exist in traditional FEM. It explains the generalised conforming theories all in extreme detail, for example – thin plate, thick plate, laminated composite plates, etc. It also talks about the analysis of piezoelectric laminated composite plates, membrane and shell elements, etc.
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4."Advanced Finite Element Methods and Applications (Lecture Notes in Applied and Computational Mechanics)" by Thomas Apel and Olaf Steinbach
“Advanced Finite Element Methods and Applications (Lecture Notes in Applied and Computational Mechanics)” Book Review: This book is very useful for engineers, practitioners, and students alike. It sheds light on the recent aspects of FEM and its applications. It includes topics like domain decomposition, multilevel methods, boundary element methods, etc. It also explains eigenvalue problems related to partial differential equations. It is useful even in electrical engineering and optics, as well as in solid mechanics.
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5."Metal Forming and the Finite-Element Method (Oxford Series on Advanced Manufacturing)" by Shiro Kobayashi and Soo-Ik Oh
“Metal Forming and the Finite-Element Method (Oxford Series on Advanced Manufacturing)” Book Review: This book has many well researched topics explained in detail. It is very useful for graduate and research students in the field of metal forming. It is also applicable to engineers applying FEM to their metal forming processes. This book contains all the advances in modern metal forming technology as well as their relation to the computer aided design and engineering of the finite element method.
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6."Advanced Applied Finite Element Methods" by Carl T F Ross
“Advanced Applied Finite Element Methods” Book Review: This book is very useful for senior undergraduates, graduates and engineers. It merges all the information on applied mechanics and finite element methods. It contains all the basic concepts and theorems involved, like the discrete system, field problems, etc. It also explains the in-plane quadrilateral elements as well as mathematical modelling. It has many examples and solved problems along with practice problems.
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7."Higher-Order Finite Element Methods (Studies in Advanced Mathematics)" by Pavel Solin and Karel Segeth
“Higher-Order Finite Element Methods (Studies in Advanced Mathematics)” Book Review: This book has a good mixture of equations and formulae, tying up the mathematical aspect to the finite element methods. This book also provides a thorough explanation of how to construct an hp finite element computer program. It contains all the recent topics of finite element theory. It also has many applications that are well explained. It is very useful for researchers, lecturers, practitioners and numerical functional analysts.
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8."Finite Element Analysis of Composite Materials using Abaqus" by Ever J Barbero
“Finite Element Analysis of Composite Materials using Abaqus” Book Review: This book is useful for the graduate and undergraduate students interested in advanced mechanics of composite materials. This book is easy to follow and is essential for any academic in the area of solid mechanics. It includes topics that students, engineers, and researchers from different fields can find very interesting and useful. It contains both theory and applications using the finite element method. It described the importance of finite element tools in solving problems of structural analysis of composites. Abaqus-based examples are used for the reinforcement of the theory and concepts, and are taught using step by step explanations and python scripts. It contains chapters on modeling the failure and post-failure behavior of composite structures. Every chapter has examples based on the theory explained. A lot of illustrations, solved examples and exercises are included. It explains the implementation of concepts and problems using a powerful tool, Abaqus. Also, it involves detailed analysis of composites and its mathematical representation in reality. The book contains 50 developed examples, 75 exercises and more than 50 separate pieces of Abaques pseudocode illustration.
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9."Smoothed Finite Element Methods" by G R Liu and Nguyen Thoi Trung
“Smoothed Finite Element Methods” Book Review: This book explains all the prerequisites like the background material, basic equations, and an abstracted version of the FEM. Then it goes on to explain the modeling procedure, fundamental principles, error assessment matters, and the construction of S-FEM models. It explains S FEM in detail with edge based, node based, cell based, face based, etc. This book combines the computational methods and numerical techniques along with many numerical examples and solved problems.
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10."Harmonic Balance Finite Element Method: Applications in Nonlinear Electromagnetics and Power Systems" by Junwei Lu and Xiaojun Zhao
“Harmonic Balance Finite Element Method: Applications in Nonlinear Electromagnetics and Power Systems” Book Review: This book explores the practical electrical and electronic nonlinear field. These problems are presented by HBFEM. It mixes the latest research work with essential background knowledge. It acts as a reference book for researchers, power engineers and students of applied electromagnetics analysis. It contains the solutions to nonlinear electric power related problems. It includes many examples, solved problems and solutions to many problems that are difficult. It includes Matlab examples as well. This book helps to learn about finite element problems and their applications in the nonlinear electromagnetic and power systems field. This book lets us approach the subject in a well-designed and logical way.
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11."Finite Element Methods in CAD: Electrical and Magnetic Fields" by Jean Claude Sabonnadiere and Jean Louis Coulomb
“Finite Element Methods in CAD: Electrical and Magnetic Fields” Book Review: This book is a valuable source of information for mechanical engineers. And it can be used by mathematicians as well. This book provides methods of solutions for linear and non-linear algebraic equations, integrations and the partial differentiation. It also provides us with the codes and the computational methods of FORTRAN. This book has many numerical questions and problems on advanced mechanical engineering.
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12."Applied Finite Element Analysis" by G Ramamurty
“Applied Finite Element Analysis” Book Review: This book is designed for explaining the basic concepts of finite element analysis applied to several engineering applications. It covers modulus of elasticity, heat conduction, eigenvalue and fluid flow analysis which are required for a student of Mechanical Engineering. The book concentrates on heat conduction problems and fluid flows which are not sufficiently discussed in other textbooks. It also includes important factors affecting the formulation as miscellaneous topics. It contains several examples to highlight the applications of Finite Element Analysis.
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## 4. Finite Element Method and Analysis

1."Finite Element Method In Structural Analysis" by MS K N Kadam A S Meghre
“Finite Element Method In Structural Analysis” Book Review: This book is useful for the students of B.Tech/B.E. as well as for the department of Mathematics. It includes the basics of the Finite Element Method. It describes some preliminaries of two dimension analysis using the isoparametric elements. Three dimension analysis of thin plates and higher order thick plates is also included. Also, analysis of axisymmetric solids and analysis of shells is covered in this book. Topics like nonlinear analysis of planes and Finite strip method are also discussed. In addition, some extra concepts are also included. The book includes numerous examples and unsolved problems for students.
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2."The Finite Element Method (Linear Static And Dynamic Finite Element Analysis)" by Thomas J R Hughes
“The Finite Element Method (Linear Static And Dynamic Finite Element Analysis)” Book Review: This book is meant for the graduate and undergraduate students of Engineering and Physical Science. It focuses on improving the skills in Linear static and dynamic finite element methodology. The topics range from fundamental concepts to computer implementations. In addition, it also covers some research based discussions on potential interest and analysis in the field of Finite element methods. The concepts also include examination of numerous standard aspects and some unique components. It also involves presentation and analysis of algorithms of time dependent phenomena and theories of beam, shell and plate. The book also includes the introductory material on mathematical theory of finite elements with some examples and exercises.
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3."An Analysis of the Finite Element Method" by Gilbert Strang and George Fix
“An Analysis of the Finite Element Method” Book Review: The book is useful for the students of B.Tech/B.E. and Physical Science. It includes numerous examples, codes and exercises for understanding the application. It covers the concepts to assemble the stiffness matrix and also to solve the finite element equations. In addition, discontinuous Galerkin methods with the function of numerical flux are also included. The book also focuses on Strang’s approach for finite elements. It provides numerous examples, codes and exercises to understand the applications of Finite Element Method.
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4."A First Course in the Finite Element Method, SI Edition" by Daryl L Logan
“A First Course in the Finite Element Method, SI Edition” Book Review: The book is meant for both graduate and undergraduate students of Civil or Mechanical Engineering. It is more helpful for students interested in heat transfer and stress analysis. It includes a very simple and direct approach to the concepts. It discusses the underlying issues and explains some complex topics. The book focuses on using the finite element method as a tool for solving the problems. It covers the analysis of the practical physical problems and examples related to it.
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5."Finite Element Analysis of Composite Materials" by Ever J Barbero
“Finite Element Analysis of Composite Materials” Book Review: This book is meant for the undergraduate and undergraduate students of Engineering and Physical Science. It includes the importance of using composite materials for current design of material and structure. It covers all the theoretical and conceptual discussions based on the analysis of composite materials. It covers all the aspects of dimensional effects, damage, edge effects, viscoelasticity and delamination. It explains how to interpret the results in an engineering methodology. It also provides various references for further usage which contains source codes for programs. The book provides demonstrations and solved examples with source code. Also includes a lot of examples using MATLAB and ANSYS. MATLAB is used for demonstrating formulas and to execute the mechanisms of various finite elements analysis.
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6."Finite Elements: Theory and Algorithms (Cambridge IISc Series)" by Sashikumaar Ganesan and Lutz Tobiska
“Finite Elements: Theory and Algorithms (Cambridge IISc Series)” Book Review: The book is useful for the graduate and undergraduate students of Engineering and Physical science. It focuses on the key princi[ples of finite element methods and its applications to differential equations. It covers the Sobolev spaces and elliptic scalar problems. It also explains the concepts of object oriented finite element algorithms, parabolic scalar problems and high dimensional problems. The book also discusses the advancement in finite element methods and non conforming finite elements. It provides numerous examples, exercises and solved examples for better understanding.
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7."Introduction To Matrix Structural Analysis And Finite Element Methods" by Serguei Bagrianski and Jean H Prevost
“Introduction To Matrix Structural Analysis And Finite Element Methods” Book Review: This book is meant for the fields of Finite Element Methods(FEM) and Matrix Structural Analysis(MSA). It explains the use of MSA in formulations for beam, truss and frame elements as well as in developing the framework of matrix analysis. It also discusses the numerical techniques of FEM for solving problems in linear elasticity and steady state heat. The book provides in-depth demonstration of algorithms and codes.
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## 5. Finite Element Applications to Flow Problems

1."Finite Element Method" by O C Zienkiewics
Book Review: This book provides an introduction to the basic concepts of the finite element method and also focuses entirely on linear programming. The book also contains updated information related to masonry and concrete dams. The book also discusses the concepts of cavitation, aeration, gate vibration, risk analysis, contingency planning, wave power generation and many more. The book teaches many concepts related to finite element method and provides state of the art reference base to the subject.
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2."Introduction to Finite Elements in Engineering" by T R Chandrupatla
Book Review: This book is very useful for students at the graduate and undergraduate level and also is a very good reference book to practicing engineers. The book also provides a unified approach to finite element methodologies. The book also contains many examples and exercises that deal with the engineering applications. The book also contains many programs and updated information with the help of newer topics.
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3."Finite Element Procedure in Engineering Analysis" by K J Bathe
Book Review: The book contains all the latest developments made in the field of structural mechanics. The book covers highly specialized techniques and mathematical concepts in the field of finite element analysis. The book explains both the basic concepts as well as the advanced techniques in the field of finite element analysis. The book also contains a separate chapter on finite element method that demonstrates how continuous system is used for analysis simplification.
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4."Boundary Element Techniques- Theory and Applications in Engineering" by C A Brebbia and L C Wrobel
Book Review: This book is very useful to engineers and scientists and all the concepts are presented very clearly in the book. The book contains a discussion of the fundamental ideas and explains the formation of integral equations. The book also provides many applications that makes the reader understand the usage of the methods. The book also includes many illustrations and examples as well as many computer programs which help the readers understand a lot of concepts easily.
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5."Finite Element Methods for Flow Problems" by Jean Donea
“Finite Element Methods for Flow Problems” Book Review: The book is written from both theoretical as well as practical point-of-view and aims in presenting latest information on various areas of computational fluid dynamics. The chapters of this book present several advanced topics along with the recent progress in the preceding field. Many modern practical applications and practical solutions for modern problems are mentioned in this text. This book will be an excellent resource for the students and professionals of automotive and environmental engineering along with academics, research centers and government agencies in aerospace.
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6."The Finite Element Methods For Engineers" by G Byrom
“The Finite Element Methods For Engineers” Book Review: The book is an excellent blend of basic topics in finite element methods with advanced topics in modeling and analysis. The initial chapters of the book cover discretization and approximation functions, modeling techniques, mesh generation, weighted residuals, minimum potential energy, macro files, linear structural analysis, heat transfer, and moisture diffusion. Moving further, the advanced and complex topics like submodeling, substructuring, interaction with external files, and modification of ANSYS are thoroughly explained. A chapter based on nonlinear structural problems is included in this text. This book will be an asset for the students and professionals of engineering.
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7."A Finite Element Primer for Beginners" by Zohdi Tarek
“A Finite Element Primer for Beginners” Book Review: The book is an updated and revised piece of work featuring latest theory and recent developments in finite element methods. The initial chapters of the book are nicely interpreted and cover various topics like weighted residual methods, galerkin approximations, model problem for one-dimensional linear elastostatics, weak formulations in one dimension, principles and error estimation in one dimension, and construction of finite elements. The remaining chapters feature gaussian quadrature, iterative solvers and element by element data structures, and model problems for three-dimensional linear elastostatics.
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8."Extended Finite Element Method: For Fracture Analysis of Structures" by Soheil Mohammadi
“Extended Finite Element Method: For Fracture Analysis of Structures” Book Review: The book focuses on introduction of various concepts of recently developed extended finite element method (XFEM) for fracture analysis of structures. It focuses on various features of XFEM for fracture analysis of structures. It covers the classical as well as modern computational techniques to understand XFEM. It is a balanced piece of writing featuring classical as well as modern computational techniques. The chapters of this book feature various methods like modelling contact and interface, simulation of inclusions and holes, moving and changing phase problems, and multiscale analyses. Many numerical examples and engineering applications are included in this book for self-study and self-assessment. This book is an excellent resource for students and professionals. The book contains numerical examples and numerous exercises.
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9.."9. Introduction to The Finite Element Method : A Numerical Method for Engineering Analysis" by Chandrakant S Desai
“Introduction to Finite Element Method” Book Review: This book provides a fundamental overview on finite element methods. It covers the basic and advanced aspects of the topic. It does not presume that the reader has any knowledge on the subject. It covers topics like structure-related problems, fluid, and heat-related problems and more. It provides information on variational calculus, presents functionals for structural analysis and flow problems. It is written in an easy to understand format and provides numerous solved and unsolved examples for enhanced understanding. This book is designed focusing on students, teachers, and professionals in the field of engineering and science.
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10."Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing" by Gasser F Abdelal and Nader Abuelfoutouh
“Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing” Book Review: This book covers the theoretical and practical knowledge needed to perform design of satellite structures. It has layered information and solved examples which acts as the missing link between theory and implementation of satellite structures. The topics covered are modal analysis, harmonic analysis, mechanical and thermal fatigue analysis using finite element method. Test cases are included to support explanations. It also contains various manufacturing simulation techniques that are described from riveting to shot peening to material cutting. It also covers analysis steps under design loads, experimental testing to verify design, and manufacturing. The book contains tips on how to reduce project cost, how to prepare static and dynamic test specifications and how to use the finite element method. This book is useful to stress engineers, lecturers, researchers and students.
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11."Finite Elements: Computational Aspects" by G F Carey and J T Oden | |

12."Applications and Implementation of Finite Element Methods" by J E Akin | |

## 6. Modeling and Finite Element Analysis

1."Finite Element Analysis for Heat Transfer: Theory and Software" by Hou-Cheng Huang and Asif S Usmani
“Finite Element Analysis for Heat Transfer: Theory and Software” Book Review: This book provides a brief information on the application of finite element methods for the analysis of heat transfer problems. The book is written for engineering graduates. The book describes FEM from a structural engineering background as well as from a non structural engineering background. The book also covers topics on the implementation details including two FORTRAN programs. The book gives a basic concept and implementation of FEM heat transfer. It also enhances the accuracy and speed of the conventional method.
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2."Finite Element Modeling for Stress Analysis" by Robert D Cook
“Finite Element Modeling for Stress Analysis” Book Review: This book provides information on the theory and computational procedures of finite elements. The book includes software packages. This makes the user who has no knowledge of FE get access to FE. The book allows readers to consider FE software packages as black boxes. It provides a reasonable result that can be displayed convincingly.
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3."Model Order Reduction Techniques with Applications in Finite Element Analysis" by Zu-Qing Qu
“Model Order Reduction Techniques with Applications in Finite Element Analysis” Book Review: This book provides an explanation and comparison of the model reduction method focusing on the dynamic condensation techniques. The book also gives a comparison of the effectiveness of static, exact, dynamic techniques to produce valid reduced order models. It also discusses the effect of frequency shifting on the desirability and accuracy of using dynamic condensation. The book can be used by researchers involved in structural dynamics, MEMS, vibration, etc. as a reference.
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4."Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis (Engineering Online Library)" by Tod A Laursen
“Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis (Engineering Online Library)” Book Review: This book discusses the fundamental sof modeling interfacial phenomena in nonlinear finite element analysis. The book explains the requirement of mechanical interaction by the physical systems across interfaces. It also illustrates the examples of the engineering world such as the design of prosthetics, characterization of the response and durability of head or disk interfaces. The book also discusses the development of pneumatic tires along with better handling characteristics. The book covers chapters on frictional behaviour, transient interaction of interfaces with their surroundings, etc,. It also covers thermo mechanical coupling and interaction with intervening lubricant or fluid layers.
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5."Finite Element Analysis of Electrical Machines (Power Electronics and Power Systems)" by Sheppard J Salon
“Finite Element Analysis of Electrical Machines (Power Electronics and Power Systems)” Book Review: This book discusses two dimensional analysis giving an emphasis on the use of finite elements. The book is designed for academic researchers, practitioners and designers of electrical machinery. This will help in performing calculations that are required for machine designers and analysts. The book gives an explanation on the finite element program. It also discusses the finite element method which is helpful in determining the behaviour of electrical machines. The book contains worked out examples on synchronous and induction machines.
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6."Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method (Applied and Computational Mechanics)" by Somnath Ghosh
“Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method (Applied and Computational Mechanics)” Book Review: This book outlines the key problems that is associated with multi scale failure and the deformation of materials having complex microstructures. The book is designed for researchers, engineers and professionals involved in structure materials interactions. It gives a brief information on the computational m mechanics and materials science based framework. This book gives an emphasis on micromechanical analysis using the voronoi cell finite element method. The book also covers chapters on the macroscopic scale of structural components. It also covers the microscopic scale of constituent heterogeneities.
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7."Finite Element Analysis of Beam-to-Beam Contact (Lecture Notes in Applied and Computational Mechanics)" by Przemyslaw Litewka
“Finite Element Analysis of Beam-to-Beam Contact (Lecture Notes in Applied and Computational Mechanics)” Book Review: This book addresses the gap between structural elements such as beams, plates or shells. The book is concerned with the ben to beam contact of the 3D solids contact. It includes a numerical formula for calculating the frictional contact for beans along with two shapes of cross section. The book also discusses methods for modeling smooth curves representing the beam axes. It also covers chapters on thermo electro mechanical coupling.
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8."Nonlinear Finite Element Modeling and Analysis of Coupled Multi-Physics Smart Composite Structures: 4 (Aachener Berichte aus dem Leichtbau)" by Narasimha Rao Mekala | |

9."Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials (Springer Series in Computational Mathematics)" by Jichun Li and Yunqing Huang
“Time-Domain Finite Element Methods for Maxwell’s Equations in Metamaterials (Springer Series in Computational Mathematics)” Book Review: This book gives a brief introduction of the time domain finite element methods for Maxwell’s equations in metamaterials. It also discusses the applications of metamaterials such as antenna and radar design, sub wavelength imaging along with the invisibility cloak design. The book presents and justifies the metamaterial modelling equations. It also discusses the development and practical implementation of edge finite element methods for metamaterials. The book covers chapters on backward wave propagation and time domain cloaking with metamaterials.
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## 7. Nonlinear Finite Element Method

1."Nonlinear Finite Element Methods" by Peter Wriggers | |

2."Finite Element Methods for Nonlinear Problems" by Pal G Bergan and K J Bathe
“Finite Element Methods for Nonlinear Problems” Book Review: This book provides a collection of papers presented at the Europe-US seminar. This seminar is on Finite Element Methods for Nonlinear Problems. The seminar was held at the Norwegian Institute of Technology, Trondheim, Norway during August 12 to 16, 1985. This book presents the linear methods more efficiently and reliably. This book focuses on developing the nonlinear capabilities. This study provides information from both theoretical and practical point of view.
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3."Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics" by Shen R Wu and Lei Gu
“Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics” Book Review: This book provides topics related to the variational principle, numerical procedure, mechanical formulation. It also presents topics of basic achievements of convergence theory. This book covers important topics and techniques. It includes an explicit finite element method for nonlinear transient dynamics. This book focuses on achievements related to the convergence theory. The Element Technology in the book discusses four-node, three-node, eight-node, and two-node element theories.
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4."Nonlinear Finite Elements for Continua and Structures" by Ted Belytschko and Wing Kam Liu
“Nonlinear Finite Elements for Continua and Structures” Book Review: This book presents a complete introduction to the methods and theory of nonlinear finite element analysis. It covers a brief introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling. This book contains the extensive finite element method (XFEM), multiresolution continuum theory. This is for multiscale microstructures, and dislocation-density-based crystalline plasticity. It aims on the formulation and solution of discrete equations for different classes of problems. This book covers various topics such as discretization by finite elements of continuation in one dimension and in multi-dimensions, etc.
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5."The Finite Element Method (Dover Civil and Mechanical Engineering)" by Hughes
“The Finite Element Method (Dover Civil and Mechanical Engineering)” Book Review: This book serves the requirements of engineering and physical science students. It examines numerous standard aspects of the finite element method. This study covers many unique components like presentation and analysis of algorithms of time-dependent phenomena, plus beam, plate, and shell theories. These are extracted directly from three-dimensional elasticity theory. This book contains a systematic treatment of “weak,” or variational, formulations for diverse classes of initial/boundary-value problems. It includes introductory material on the mathematical theory of finite elements and many important mathematical results.
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6."An Introduction to Linear and Nonlinear Finite Element Analysis: A Computational Approach" by Prem Kythe and Dongming Wei | |

7."Finite Element Methods for Nonlinear Optical Waveguides (Advances in Nonlinear Optics)" by Xin-Hua Wang
“Finite Element Methods for Nonlinear Optical Waveguides (Advances in Nonlinear Optics)” Book Review: This book provides researchers at the lead of nonlinear optical technologies with robust procedures. It presents software for the systematic investigation of the fundamental phenomena in nonlinear optical waveguide structures. This book adopts comprehensive vectorial electromagnetic formulation. It discusses the conditions under which simplification to a scalar formulation is possible are clearly indicated. This book identifies the need to model the dielectric saturation properly and improved algorithms are presented. It describes all the procedures as well as an automatic mesh generator for the finite element method.
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8."One-Dimensional Finite Elements: An Introduction to the FE Method" by Öchsner and Andreas and Markus Merkel
“One-Dimensional Finite Elements: An Introduction to the FE Method” Book Review: This book presents finite element methods using one-dimensional elements. It focuses on the complex methodology in an easily understandable but mathematically correct fashion. This book presents the approach of one-dimensional elements. It lets us focus on the understanding of the principles of basic and advanced mechanical problems. This book includes the assumptions and limitations of mechanical modeling. It also provides underlying physics without struggling with complex mathematics.
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## 8. Finite Element Methods in Geotechnical Engineering

1."Concepts and Applications of Finite Element Analysis" by Robert D Cook
Book Review: The book contains all the latest developments made in the field of structural mechanics. The book covers highly specialized techniques and mathematical concepts in the field of finite element analysis. The book explains both the basic concepts as well as the advanced techniques in the field of finite element analysis. The book also contains a separate chapter on finite element method that demonstrates how continuous system is used for analysis simplification.
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2."Finite Element Method" by O C Zienkiewicz and R L Taylor
Book Review: This book provides an introduction to the basic concepts of the finite element method and also focuses entirely on linear programming. The book also contains updated information related to masonry and concrete dams. The book also discusses the concepts of cavitation, aeration, gate vibration, risk analysis, contingency planning, wave power generation and many more. The book teaches many concepts related to finite element method and provides state of the art reference base to the subject.
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3."Crystal Plasticity Finite Element Methods" by Franz Roters
“Crystal Plasticity Finite Element Methods” Book Review: The book presents all the major aspects of plasticity modeling. It begins with a clear description of fundamentals of plasticity and features topics like plastic deformation, continuum mechanics, and finite element methods. Moving on, all the important concepts and topics related to crystal plasticity finite element methods are discussed in detail. The topics like constitutive laws, phase transformations, texture methods, continuum approaches, and damage mechanisms are thoroughly explained. To give better practical knowledge and relatable content to the readers many applications of finite element methods in microstructure and macrostructure mechanics are mentioned. The chapters consist of several examples, figures, and graphs. The book will be suitable for the mechanical engineers and researchers working in the field of finite element method.
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4."Finite Element Method: Basic Technique and Implementation" by John N Rossettos
“Finite Element Method: Basic Technique and Implementation” Book Review: The book aims in highlighting the major areas and fields of structural mechanics and elasticity. It is written from both theoretical as well as practical perspective and hence fills the void between mathematical foundations and practical applications. The chapters of this book cover all the important topics along with the several numerical techniques for dealing with large systems of equations. The book presents the applications of finite element methods in applied mathematics, continuum mechanics, engineering, and physics. It also describes the infinitesimal and variational calculus methods of calculations. The content of this text is supported with a number of examples, problems, and exercises. The book will be suitable for students and professionals related to finite element methods.
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5."The Finite Element Method in Structural Mechanics" by Gangan Prathap
“The Finite Element Method in Structural Engineering” Book Review: The objective of this book is to present the design of robust along with the accurate elements for applications in structural mechanics. The principles of structural mechanics as well as finite element technology are clearly mentioned. The book begins with an introduction of finite element methods and covers topics like shear flexible beam elements, simple curved beam elements, non-uniform mapping, quadratic beam element, and general curved beam element. The later section of this text describes plane stress elements, plate elements, brick elements, shell elements, varying modulus, and initial stress/strain elements in detail. The book will be an excellent resource for the students of structural engineering.
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6."Introduction to the Finite Element Method (Mcgraw-Hill Series in Mechanical Engineering)" by J N Reddy
“Introduction to the Finite Element Method (Mcgraw-Hill Series in Mechanical Engineering)” Book Review: The book aims in presenting the role of finite element methods in the professional world. This book is also useful to junior-senior-graduate level courses students. This text includes a step-by-step, systematic approach to the formulation and analysis of differential and integral equations in variational forms for use as finite element methods. The chapters of this book are well-structured and present an elemental approach to the formulation and analysis of differential and integral equations in different forms for their use in finite element methods. The book contains vast theory and states the applications of finite element methods in various engineering areas. The chapters of this contain several examples, problems, and exercises for self-study and self-assessment of the readers. The book will be useful for the courses in finite element method for under-graduating and graduating students of engineering.
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7."Finite Element Methods for Engineering Sciences: Theoretical Approach and Problem Solving Techniques" by Joel Chaskalovic
“Finite Element Methods for Engineering Sciences: Theoretical Approach and Problem Solving Techniques” Book Review: The book is written from theoretical as well as practical point of view and highlights the mathematical tools, techniques, and concepts underlying in finite element methods. The chapters of this book cover all the major topics related to finite elements, variational formulations, deformable solid body mechanics, strength of materials, and nonlinear problems. A chapter based on tensor calculus using distribution theory is added in this text. The book will be a guide for analyzing and dealing with various practical problems in science and engineering. The topics featured in this book are supported by illustrative figures, problems, and exercises. To give better practical knowledge and relatable content to the readers many worked examples and applications of finite element methods are described in this book.
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8."Concepts and Application of Finite Element Analysis" by R D Cook
Book Review: This book contains all the advancements in the field of finite element analysis with a special emphasis on structural mechanics. The book presents basic theories as well as advanced techniques pertaining to the application of finite element analysis. The book also contains numerous problems where matrix methods and Fortran algorithm methods are used for solving numerous problems. Advanced topics like non linear material behavior and structural dynamics are also covered in the book.
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## 9. Mathematical Theory of Finite Elements

1."The Mathematical Theory of Finite Element Methods" by K E Brenner and R Scott
“The Mathematical Theory of Finite Element Methods” Book Review: This book has rigorous and thorough mathematical introduction to the foundations of the subject with a clear and concise treatment of modern fast solution technique. This book helps in developing the fundamental mathematical theory of the finite element method, along with the most widely used technique for engineering design and analysis. Piecewise exercise has been added in this book. The initial chapters provide an introduction to the whole subject, developed in the one-dimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. This subsequent topic covered in this book are mixed methods with applications to elasticity and fluid mechanics, iterated penalty and augmented Lagrangian methods, nonconforming and isoparametric methods, numerical integration and interior penalty methods. This book is useful to mathematicians as well as engineers & physical scientists. This book can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory.
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2."The Finite Element Methods for Elliptic Problems" by P G Ciarlet
“The Finite Element Methods for Elliptic Problems” Book Review: This book gives a precise and concise introduction to the topic and is written in simple & student friendly language. This book is there to analyze the basic mathematical aspect of Element Method and also as current research to the topic. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses and is useful for gate aspirants. This book is useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. It also serves as a textbook for graduate courses in numerical analysis, including useful figures and exercises of varying difficulty. This also covers the new and latest concepts on the topic.
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3."Numerical Solutions of Partial Differential Equations by Finite Element Methods" by C Johnson
“Numerical Solutions of Partial Differential Equations by Finite Element Methods” Book Review: This book is a brief introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. This book is for advanced undergraduate & graduate courses and gives a clear connection between the topic with applications along with numerous examples from a variety of science- and engineering-related specialties for better view on the topic . This book has all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Topics included here are finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. This book serves well to the topic.
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4."An Introduction to the Mathematical Theory of Finite Elements" by J T Oden and J N Reddy
“An Introduction to the Mathematical Theory of Finite Elements” Book Review: This book goes through fundamentals and will teach you the foundation aspects of the topic. It offers logical, easy to access demonstrations of the use of the techniques in developing the foundations of the theory of finite element approximations. The book covers topics like the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. This book is designed with self contained texts such that it will be effective for students from diverse educational background. This book has solved examples and has detailed proofs of the theorem of the topic and has numerous examples for clear understanding. This book is helpful to anyone who wants a firm grip on the topic.
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5."Finite Element Analysis Theory and Application with ANSYS" by Saeed Moaveni
“Finite Element Analysis Theory and Application with ANSYS” Book Review: This book has a well precise and understandable context on the topic and explores all the aspects of the topic along with using the context effectively and efficiently. The book covers various concepts and topics of finite element analysis. The book in discussion presents both theoretical as well as implementation using ANSYS software. This book presents well the theory of finite element analysis along with exploring its application as a design or modeling tool, with explaining in detail how to use ANSYS intelligently and effectively. This book will helps student by presenting the Theory of Finite Element Analysis for their understanding and also explains how to use ANSYS efficiently, it also has open designed problems to help students so that they can apply the concept in a better way. Various topics such as application of finite element analysis in design/modeling are elucidated. Efficient and effective usage of ANSYS in finite element analysis is included. It has simple finite problems along with new problems for the more logical aspect of the topic. This book is a useful reference for mechanical, civil and environmental engineers.
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6."The Finite Element Method in Electromagnetics" by Jian-Ming Jin
“The Finite Element Method in Electromagnetics” Book Review: This book explains the method’s processes and techniques in careful, meticulous prose and covers not only the finite element method theory, but also its latest developments and applications that gives engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Its essential and comprehensive text focuses on a wider range of applications of the topic including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics, along with the finite element analysis of wave propagation, scattering, and radiation in periodic structures, the time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena. This book has a great sum of examples and is ideal for engineering students as well as professionals in this field.
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7."Finite Element Analysis: Theory and Application with ANSYS" by Saeed Moaveni
“Finite Element Analysis Theory and Application with ANSYS” Book Review: This book has a well precise and understandable context on the topic and explores all the aspects of the topic along with using the context effectively and efficiently. This book presents well the theory of finite element analysis along with exploring its application as a design or modeling tool, with explaining in detail how to use ANSYS intelligently and effectively. This book will helps student by presenting the Theory of Finite Element Analysis for their understanding and also explains how to use ANSYS efficiently, it also has open designed problems to help students so that they can apply the concept in a better way. It has simple finite problems along with new problems for the more logical aspect of the topic. This book is a useful reference for mechanical, civil and environmental engineers.
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8."Programming the Finite Element Method" by I M Smith and D V Griffiths
“Programming the Finite Element Method” Book Review: This book has a programming oriented approach for the context. This book gives the reader learning how to develop computer programs to solve specific engineering problems using the finite element method. This book includes programs, subroutine & provides topics like advances in parallel computing, thermal stress analysis, plasticity return algorithms, convection boundary conditions, and interfaces to third party tools such as ParaView, METIS and ARPACK. This book has a wide range of problems and exercises that are presented including topics like structural analysis, elasticity and plasticity, construction processes in geomechanics, uncoupled and coupled steady and transient fluid flow and linear and nonlinear solid dynamics. This book is aimed at all professional peoples and students who are into programming and is ideal for undergraduate and postgraduate students in civil and mechanical engineering, applied mathematics and numerical analysis, and is also a comprehensive reference for practitioners.
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9."Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics" by Dietrich Braess
“Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics” Book Review: This book is fully updated on the context and features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and is explained to include many more nonstandard applications. This book discusses the subject very comprehensively. It has solved numerical problems which gives a better understanding of the topic which includes numerical solution of elliptic partial differential equations, application of finite elements. The graduate students who do not have any particular background in differential equations, but require an introduction to finite element methods will find this text crucial. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering which makes this book important for engineering students. This book focuses greatly on problem solving along with the mathematical aspects of the ﬁnite element method. This book is interesting and well written and is recommended for engineers or scientists who hold the practical aspect and want to dive deeper.
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