Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements - Hardcover

Steinbach, Olaf

 
9780387313122: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements
Hardcover
ISBN 10: 0387313125 ISBN 13: 9780387313122
Publisher: Springer, 2007

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. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. The book 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. The book is suitable for self study and exercises are included.

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From the Back Cover

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.

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Publisher
Springer
Publication date
2007
Language
English
ISBN 10 
0387313125
ISBN 13 
9780387313122
Binding
Hardcover
Number of pages
398