Boundary Integral Equations (Hardcover, 2008 ed.)

This book is devoted to the mathematical foundation of boundary integral equations. The combination of ?nite element analysis on the boundary with these equations has led to very e?cient computational tools, the boundary element methods (see e.g., the authors [139] and Schanz and Steinbach (eds.) [267]). Although we do not deal with the boundary element discretizations in this book, the material presented here gives the mathematical foundation of these methods. In order to avoid over generalization we have con?ned ourselves to the treatment of elliptic boundary value problems. The central idea of eliminating the ?eld equations in the domain and - ducing boundary value problems to equivalent equations only on the bou- ary requires the knowledge of corresponding fundamental solutions, and this idea has a long history dating back to the work of Green [107] and Gauss [95, 96]. Today the resulting boundary integral equations still serve as a major tool for the analysis and construction of solutions to boundary value problems.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Applied Mathematical Sciences, 164
Release date:	May 2008
First published:	2008
Authors:	George C. Hsiao • Wolfgang L. Wendland
Dimensions:	235 x 155 x 40mm (L x W x T)
Format:	Hardcover
Pages:	620
Edition:	2008 ed.
ISBN-13:	978-3-540-15284-2
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	3-540-15284-9
Barcode:	9783540152842

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