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Boundary Integral Equations
George C. Hsiao
Wolfgang L. Wendland
出版
Springer Nature
, 2021-03-26
主題
Mathematics / Counting & Numeration
Mathematics / Number Systems
Technology & Engineering / Engineering (General)
Mathematics / Mathematical Analysis
Mathematics / Numerical Analysis
Mathematics / Probability & Statistics / Stochastic Processes
Mathematics / Applied
Mathematics / Calculus
ISBN
3030711277
9783030711276
URL
http://books.google.com.hk/books?id=8gkmEAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.