Finite Element and Boundary Element Methods Books

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We have compiled the list of Best Reference Books on Finite Element and Boundary Element Methods subject. These books are used by students of top universities, institutes and colleges. Here is the full list of best books on Finite Element and Boundary Element Methods along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Finite Element and Boundary Element Methods subject and came out with a recommended list of best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on “Finite Element and Boundary Element Methods” as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

List of Finite Element and Boundary Element Methods Books with author’s names, publishers, and an unbiased review as well as links to the Amazon website to directly purchase these books.

1. Finite Element and Boundary Element Methods

 1. “Boundary Element Techniques in Engineering” by C A Brebbia and S Walker “Boundary Element Techniques in Engineering” Book Review: This book deals with solutions of two- and three-dimensional problems in elasticity and discusses the potential theory where finite elements are inefficient. It discusses approximate methods, time-dependent problems, higher-order elements, non-linear problems, and combination of regions. Approximate methods include weighted residual techniques, the inverse formulation, weak formulations, and boundary methods. It also explains Laplace’s equation, matrix formulation, indirect formulation, the Helmholtz equation, and Poisson’s equation. It describes how elements with linear variations of q and u (i.e. linear elements) can be developed for two dimensional problems, and for quadratic and higher order elements for two-dimensional problems. It thoroughly investigates the Dirac delta function as a sum of Eigenfunctions, including methods to determine the explicit form of fundamental solutions for recurrent problems. It is ideal for students, mathematicians, and professors of calculus and advanced mathematics.

2. “Dual Reciprocity Boundary Element Methods For Solving Inverse Problems” by Adrian Farcas advertisement advertisement “Dual Reciprocity Boundary Element Methods For Solving Inverse Problems” Book Review: This book explains the range of applications of the dual reciprocity boundary element method to inverse source and boundary value problems. This book provides a fundamental overview on dual reciprocity boundary element methods for solving inverse problems. It discusses mathematical models which are ill-posed, how their solutions are unstable under data perturbation and how classical numerical techniques fail to produce accurate solutions. It describes inverse source and boundary value problems associated with the Poisson equation. It is written in an easy to understand language with numerous diagrams, equations, mathematical and theoretical explanation. This book is designed focusing on students, teachers, and researchers in the field of engineering and science. The book is aimed to help students, professors, and the scientific community in the development of numerical methods for inverse problems.

3. “Boundary Element Methods” by Christoph Schwab and Stefan A Sauter “Boundary Element Methods” Book Review: This book provides a fundamental overview on boundary element methods. It discusses methods for solving strongly elliptical problems using boundary reduction methods. It talks about partial differential and integral equations. It focuses on development, analysis, and implementation of Galerkin boundary element methods. It describes numerical processes with fast algorithms. It provides numerous solved and unsolved examples with explanations for enhanced understanding of the reader. This book is designed focusing on students, teachers, and researchers in the field of engineering and science.

4. “Boundary Element Topics” by W L Wendland “Boundary Element Topics” Book Review: This book provides overview on various topics for boundary elements. It discusses methods and computational algorithms which should be streamlined with respect to the new computer architectures of vector and parallel computers. It talks about the asymptotic error analysis of boundary element methods. It provides details on non-linear material laws of boundary element methods for crack-mechanics. It is written in an easy to understand language using numerous solved and unsolved examples. This book is designed focusing on students, teachers, and researchers in the field of engineering and science.

5. “Boundary Element Methods in Engineering” by Brebbia “Boundary Element Methods in Engineering” Book Review: This book provides a fundamental overview on boundary element methods in engineering. It discusses topics like preliminary mathematical knowledge, BEM for potential problems in two dimensions, numerical implementation of BEM, Boundary element technology, applications and more. It covers BEM for two-dimensional electrostatic problems, BEM for time dependent problems, BEM for non-linear problems, Gauss integration, and more. This book is designed focusing on students, teachers, and researchers in the field of engineering and science.

6. “Boundary Boundary Element Methods for Solving Inverse Problems” by Alexandru Rap “Boundary Boundary Element Methods for Solving Inverse Problems” Book Review: This book provides overview on boundary element methods for solving inverse problems. It talks about developing stable and computationally efficient methods for solving inverse problems. It discusses some powerful and reliable numerical techniques for solving mathematical inverse problems related with water pollution. It describes various models to solve Cauchy problems and inverse source problems associated with the convection-diffusion equation that governs contaminated fluid flows. It is written in an easy to understand language. This book is designed focusing on students, teachers, and researchers in the field of engineering and science. advertisement

7. “Boundary Element Methods: Fundamentals and Applications” by S Kobayashi “Boundary Element Methods: Fundamentals and Applications” Book Review: This book provides a fundamental overview on boundary element methods. It discusses the numerous fundamentals and applications of these concepts to solve real-world complex problems. It covers topics like mathematical and computational aspects of the subject, applications to solid mechanics, fluid mechanics, and more. It also discusses the use of boundary element methods in fields like acoustics, electromagnetics, heat transfer, optimization, control, inverse problems, and many others. This book is designed focusing on students, teachers, and professionals in the field of engineering and science. It also covers applications to solid mechanics, control, optimization, inverse problems, and other interdisciplinary problems.

8. “Boundary Element Method in Engineering Science” by P K Banerjee and R Butterfield “Boundary Element Method in Engineering Science” Book Review: The book is mainly designed for students pursuing bachelors in engineering. The methods defined in the book are applicable to partial differential equations in the domain. It talks about the simplicity of the input data requirements, especially that for three-dimensional and infinite domain problems. It makes boundary element computer programs easier to understand and use than programs which are based on finite element or finite difference methods. The basic boundary element method that was developed for linear homogeneous material properties, non-homogeneous problems which involve distinct homogeneous regions can also be solved by the method. The later part covers direct solution and storage of large sparse linear systems and iterative methods for solving large sparse systems of linear algebraic equations.

9. “Fast Boundary Element Methods in Engineering and Industrial Applications” by Olaf Steinbach advertisement “Fast Boundary Element Methods in Engineering and Industrial Applications” Book Review: This book provides details on the mathematical aspects of fast boundary element methods and its applications in engineering and industry. It covers the analysis and numeric of boundary integral equations by using differential forms, preconditioning of boundary element methods, the simulation of micro electro mechanical systems, the application of fast boundary element methods for solving challenging problems in magnetostatics, and for contact problems in solid mechanics. It is designed focusing on researchers, graduate students and practitioners working on and using boundary element methods.

2. Advanced Finite Element and Boundary Element Methods

 1. “Boundary Element Methods for Soil-Structure Interaction” by G Oliveto “Boundary Element Methods for Soil-Structure Interaction” Book Review: This book describes the challenging multidisciplinary subject and covers several areas of civil engineering. It demonstrates how every construction is related to the ground and the interaction between the artifacts. It talks about the foundation medium and how it may considerably affect both the superstructure and the foundation soil. It covers the complexity of the problem, its multidisciplinary environment, and the fact of having to consider bounded and unbounded media of different mechanical characteristics. The book is designed focusing on environmental engineers.

2. “Recent Advances In Boundary Element Methods” by Demosthenes Polyzos and George Manolis “Recent Advances In Boundary Element Methods” Book Review: This book talks about recent advances in boundary element methods. It discusses the research in the computational mechanics community in terms of time bound information on boundary integral equation-based methods and the required techniques applied to a variety of fields. The book is a collection of both original and review articles on contemporary Boundary Element Methods and on the newer Mesh Reduction Methods. It covers a variety of research topics. It explains the integral equation formulations and solutions in both solid and fluid mechanics. The book is written in an easy to understand language.

3. “Boundary Element Methods in Engineering” by Brebbia “Boundary Element Methods in Engineering” Book Review: This book talks about the boundary element methods in engineering. It talks about interesting developments in engineering analysis during the last few years. It shows the rapid growth of boundary element methods. It discusses the boundary elements and the many advantages of that technique. It shows how engineering firms started to appreciate the advantages of the method especially from the computational aided engineering point of view. It lays out the advantages of simple data input and output. It is written in a way that can be rapidly understood by professional engineers who use cumbersome finite element codes.
4. “Boundary Element Methods For Solving Inverse Problems” by Alexandru Rap “Boundary Element Methods For Solving Inverse Problems” Book Review: This book provides in-depth understanding of methods to solve inverse problems. It talks about developing stable and computationally efficient methods. It proposes some powerful and reliable numerical techniques for solving mathematical inverse problems related with water pollution. The techniques described are based on the boundary element method and the dual reciprocity boundary element method which are designed to model and solve Cauchy problems and inverse source problems. It contains theoretical description and numerical results which are represented for each case and focuses on the accuracy, convergence and stability of the numerical techniques proposed.

5. “Finite and Boundary Element Methods in Engineering” by O P Gupta

6. “Advances in Boundary Element Techniques (Springer Series in Computational Mechanics)” by Nobuyoshi Tosaka and Giulio Maier “Advances in Boundary Element Techniques (Springer Series in Computational Mechanics)” Book Review: This book is used by graduate students, practitioners, and researchers in engineering, mathematics, and the physical sciences field. The book contains full-length papers on boundary element analysis (BEA) photographed from camera-ready manuscripts. These articles have been submitted by various authors that participated in an International Forum on Boundary Element Methods, in Melbourne Australia, in the Summer of 1991. This book contains a representation of the significant capabilities and applications that fall under the general category of advanced boundary element analysis.

7. “Boundary Element Methods In Engineering and Sciences” by M H Aliabadi “Boundary Element Methods In Engineering and Sciences” Book Review: This book provides a detailed overview on boundary element methods. It discusses alternatives to traditional computational methods of engineering analysis. It provides numerous solved and unsolved examples for enhanced understanding. This book is designed focusing on students and teachers in the fields of engineering and science. It discusses its application in the space of problems in engineering and science. Each chapter provides a brief description of historical development, which is followed by basic theory, derivation, and examples.