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 offers comprehensive coverage of the solutions to elasticity problems in both two and three dimensions, including the potential theory when finite elements are not efficient. In addition, it addresses non-linear problems, time-dependent problems, higher-order elements, and the combination of regions. Various approximate methods, such as weak formulations, inverse formulations, boundary methods, and weighted residual techniques, are discussed in detail. The book also covers Laplace’s equation, the Helmholtz equation, Poisson’s equation, and the matrix and indirect formulations. Linear, quadratic, and higher-order elements are explored for two-dimensional problems. The book is a valuable resource for students, mathematicians, and professors specializing in advanced mathematics and calculus.
|2."Dual Reciprocity Boundary Element Methods For Solving Inverse Problems" by Adrian Farcas|
“Dual Reciprocity Boundary Element Methods For Solving Inverse Problems” Book Review: This book provides an in-depth analysis of the dual reciprocity boundary element method and its use in solving inverse problems related to source and boundary values. It outlines the challenges associated with ill-posed mathematical models and the inadequacy of conventional numerical methods in producing accurate solutions. The book presents a comprehensive overview of inverse problems and their association with the Poisson equation. It includes numerous diagrams, equations, and theoretical explanations, making it accessible to students, teachers, and researchers in the fields of engineering and science. This book is an invaluable resource for the scientific community, providing essential knowledge and methods for developing numerical solutions to inverse problems.
|3."Boundary Element Methods" by Christoph Schwab and Stefan A Sauter|
“Boundary Element Methods” Book Review: This book presents a comprehensive introduction to boundary element methods, covering techniques for solving strongly elliptical problems using boundary reduction methods. It discusses partial differential and integral equations and emphasizes the development, analysis, and implementation of Galerkin boundary element methods. The book also explores numerical procedures and fast algorithms, and includes a range of solved and unsolved examples with detailed explanations to enhance the reader’s understanding. Aimed at students, teachers, and researchers in engineering and science, this book provides a valuable resource for those interested in developing a strong foundation in boundary element methods.
|4."Boundary Element Topics" by W L Wendland|
“Boundary Element Topics” Book Review: This book offers an extensive overview of various topics related to boundary elements. It covers the computational algorithms and methods, which are optimized to suit the new computer architectures of vector and parallel computers. The book provides details on asymptotic error analysis of boundary element methods and non-linear material laws applicable to crack-mechanics. It is presented in an easy-to-understand language, supplemented with a multitude of solved and unsolved examples. This book caters to the needs of students, teachers, and researchers in the field of engineering and science, aiming to enhance their knowledge of boundary elements.
|5."Boundary Element Methods in Engineering" by Brebbia|
“Boundary Element Methods in Engineering” Book Review: The primary focus of this book is to provide a comprehensive introduction to the boundary element methods used in engineering. It encompasses a range of topics including fundamental mathematical concepts, BEM for two-dimensional potential problems, numerical implementation of BEM, boundary element technology, and applications. Additionally, it covers BEM for time-dependent and non-linear problems, as well as Gauss integration. This book is intended to cater to the needs of students, teachers, and researchers in the fields 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 offers an overview of the boundary element methods used to solve inverse problems, emphasizing the development of stable and computationally efficient methods. It explores powerful numerical techniques for solving mathematical inverse problems associated with water pollution, and outlines different models to solve Cauchy problems and inverse source problems related to the convection-diffusion equation governing contaminated fluid flows. With an easy-to-understand language, this book caters to students, teachers, and researchers in the fields of engineering and science.
|7."Boundary Element Methods: Fundamentals and Applications" by S Kobayashi|
“Boundary Element Methods: Fundamentals and Applications” Book Review: This book presents a comprehensive overview of boundary element methods, covering their fundamental concepts and practical applications in solving complex real-world problems. It explores the mathematical and computational aspects of the subject, and covers applications to fields such as solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, and inverse problems. The book is designed for students, teachers, and professionals in the field of engineering and science, and includes interdisciplinary examples that illustrate the wide range of applications of boundary element methods.
|8."Boundary Element Method in Engineering Science" by P K Banerjee and R Butterfield|
“Boundary Element Method in Engineering Science” Book Review: This book primarily targets undergraduate engineering students and provides methods applicable to partial differential equations in the domain. The book highlights the ease of input data requirements, particularly for three-dimensional and infinite domain problems. The boundary element computer programs presented in the book are easier to comprehend and utilize than those based on finite element or finite difference methods. In addition, the basic boundary element method, originally developed for linear homogeneous material properties, can be extended to non-homogeneous problems involving distinct homogeneous regions. The latter part of the book focuses on direct solution and storage of large sparse linear systems and iterative methods for solving these systems of linear algebraic equations.
|9."Fast Boundary Element Methods in Engineering and Industrial Applications" by Olaf Steinbach|
“Fast Boundary Element Methods in Engineering and Industrial Applications” Book Review: This book offers a comprehensive overview of fast boundary element methods, including its mathematical aspects and practical applications in engineering and industry. It delves into the analysis and numerical solutions of boundary integral equations by employing differential forms, as well as preconditioning techniques. It also explores the use of fast boundary element methods for simulating micro electro mechanical systems, tackling difficult magnetostatic problems, and solving contact problems in solid mechanics. This book is aimed at researchers, graduate students, and practitioners in the field of 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: The focus of this book is on the multidisciplinary subject of civil engineering, which encompasses various areas. It shows how the construction process is related to the ground and the interaction between the structures and the foundation medium. The book discusses how the foundation medium can significantly affect both the superstructure and the foundation soil. It addresses the complexity of the problem, the multidisciplinary environment, and the need to consider bounded and unbounded media with different mechanical characteristics. The book is designed for environmental engineers as well as other professionals working in the field of civil engineering.
|2."Recent Advances In Boundary Element Methods" by Demosthenes Polyzos and George Manolis|
“Recent Advances In Boundary Element Methods” Book Review: This book provides an in-depth look at the latest developments in boundary element methods. It explores the cutting-edge research in computational mechanics and the time-sensitive information on boundary integral equation-based methods applied to various fields. The book features a compilation of original and review articles on contemporary Boundary Element Methods and Mesh Reduction Methods. It covers diverse research topics ranging from integral equation formulations and solutions in solid and fluid mechanics. The book is written in a clear and easy-to-understand language and is suitable for researchers and professionals in the field of engineering and science.
|3."Boundary Element Methods in Engineering" by Brebbia|
“Boundary Element Methods in Engineering” Book Review: The book discusses the use of boundary element methods in engineering, including recent developments in engineering analysis. It highlights the rapid growth of boundary element methods and their many advantages. These advantages include their use in computational aided engineering and the ease of data input and output. As a result, many engineering firms have started to appreciate the method. The book is written in a manner that is easily understandable to professional engineers, who may otherwise struggle with cumbersome finite element codes.
|4."Boundary Element Methods For Solving Inverse Problems" by Alexandru Rap|
“Boundary Element Methods For Solving Inverse Problems” Book Review: The focal point of this book is to impart a comprehensive comprehension of various approaches to tackle inverse problems. It delves into the creation of stable and computationally efficient methods, proposing potent and dependable numerical techniques to solve mathematical inverse problems concerning water pollution. The techniques elucidated in this book rely on the boundary element method and the dual reciprocity boundary element method. These methods are intended to model and solve Cauchy problems and inverse source problems. The book comprises a theoretical description and numerical outcomes for each case, with a focus on the accuracy, convergence, and stability of the proposed numerical techniques.
|5."Finite and Boundary Element Methods in Engineering" by O P Gupta|
“Finite and Boundary Element Methods in Engineering” Book Review: The book provides a comprehensive overview of both finite and boundary element methods, with detailed explanations of the underlying mathematical principles and practical applications. The author’s clear and concise writing style, coupled with numerous examples and exercises, makes this book accessible to readers at all levels of experience. Overall, this book is a valuable resource for anyone interested in understanding and applying these powerful numerical methods in engineering.
|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: Graduate students, practitioners, and researchers in engineering, mathematics, and physical sciences utilize this book as a resource. The book comprises full-length papers on boundary element analysis (BEA), photographed from camera-ready manuscripts submitted by different authors who participated in the International Forum on Boundary Element Methods in Melbourne, Australia during the summer of 1991. The articles presented showcase the remarkable capabilities and applications encompassed by 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: The purpose of this book is to provide a comprehensive introduction to boundary element methods as an alternative to conventional computational methods for engineering analysis. It is intended for students and teachers in the fields of engineering and science, and includes a range of solved and unsolved examples to aid understanding. The book covers the application of boundary element methods to problems in engineering and science, with each chapter including a historical overview, followed by a description of the basic theory, derivation, and examples.