Natural Boundary Integral Method And Its Applications
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Natural Boundary Integral Method and Its Applications
Author: De-hao Yu
language: en
Publisher: Springer Science & Business Media
Release Date: 2002-09-30
Boundary element methods are very important for solving boundary value problems in PDEs. Many boundary value problems of partial differential equations can be reduced into boundary integral equations by the natural boundary reduction. In this book the natural boundary integral method, suggested and developed by Feng and Yu, is introduced systematically. It is quite different from popular boundary element methods and has many distinctive advantages. The variational principle is conserved after the natural boundary reduction, and some useful properties are also preserved faithfully. Moreover, it can be applied directly and naturally in the coupling method and the domain decomposition method of finite and boundary elements. Most of the material in this book has only appeared in the author's previous papers. Compared with its Chinese edition (Science Press, Beijing, 1993), many new research results such as the domain decomposition methods based on the natural boundary reduction are added.
Boundary Integral Equations
Author: George C. Hsiao
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-05-07
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.
Wavelet Analysis and Its Applications
This book constitutes the refereed proceedings of the Second International Conference on Wavelet Analysis and Its Applications, WAA 2001, held in Hong Kong, China in December 2001. The 24 revised full papers and 27 revised short papers presented were carefully reviewed and selected from a total of 67 full paper submissions. The book offers topical sections on image compression and coding, video coding and processing, theory, image processing, signal processing, and systems and applications.