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Texts in Applied Mathematics #99: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements

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Texts in Applied Mathematics #99: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements Cover

 

Synopses & Reviews

Publisher Comments:

Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods. Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered. This textbook may serve as a basis for an introductory course in particular for boundary element methods including modern trends such as fast boundary element methods and efficient solution methods, as well as the coupling of finite and boundary element methods.

Synopsis:

This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.

Synopsis:

The book contains chapter summaries and excercises at the end of each chapter.

Table of Contents

Boundary Value Problems.- Function Spaces.- Variational Methods.- Variational Formulations for Boundary Value Problems.- Fundamental Solutions of Partial Differential Equations.- Boundary Integral Operators.- Boundary Integral Equations.- Numerical Methods for Variational Problems.- Finite Elements.- Boundary Elements.- Boundary Element Methods.- Preconditioned Iterative Solvers.- Fast Boundary Element Methods.- Domain Decomposition Methods.

Product Details

ISBN:
9780387313122
Author:
Steinbach, Olaf
Publisher:
Springer
Subject:
Applied
Subject:
Number Systems
Subject:
Finite element method
Subject:
Boundary value problems
Subject:
Boundary element methods
Subject:
Approximation
Subject:
Boundary
Subject:
Elliptic
Subject:
Methods
Subject:
numerical
Subject:
Numerical analysis
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Appl.Mathematics/Computational Methods of Engineering <P>This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. While there are textbooks
Subject:
Mathematics-Introduction
Subject:
Appl.Mathematics/Computational Methods of Engineering
Copyright:
Edition Description:
Book
Series:
Texts in Applied Mathematics
Series Volume:
99
Publication Date:
20071126
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
398
Dimensions:
235 x 155 mm

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Texts in Applied Mathematics #99: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements New Hardcover
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$67.25 In Stock
Product details 398 pages Springer - English 9780387313122 Reviews:
"Synopsis" by , This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
"Synopsis" by , The book contains chapter summaries and excercises at the end of each chapter.
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