Boundary Integral Equations
ISBN: 3030711269
EAN13: 9783030711269
Language: English
Publication Date: Mar 27, 2021
Pages: 783
Dimensions: 2" H x 9" L x 6" W
Weight: 3 lbs.
Format: Hardcover
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Boundary Integral Equations

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Book Overview

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.

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