Title: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements
Publisher: Springer
Publication Date: 2007
Language: English
ISBN 10: 0387313125
ISBN 13: 9780387313122
Binding: Hardcover
Condition: Near Fine
Dimensions: 2.311 centimeters width by 16.256 centimeters height by 24.206 centimeters depth
Weight: 215 grams

About this title

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.

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.

"About this title" may belong to another edition of this title.

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