Natural Boundary Integral Metjod and Its Applicaions

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出版时间2006-07-01

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Boundary element methods are very important for solving boundary value problems in PDEs.Many boundary value problems of partial diffferential 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 popuar boundary element methods and has many distinctive advantages The variational principle is conserved after the natural boundary reduction,and some useful properties ar also preserved faithfully.Moreover,it can be applied directlyand 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 (SciencePress,Bejing 1993),many new research results such as the domain decomposition methods based on the natural boundary reduction are added. This book is intended for graduate students and researcers of compuational and applied mathematics,scientific computing,comutational mechanics and physics,It is also of interest to university lecturers,scientists and engineers who are interested in the application of the boundary element method.

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