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＜電子ブック＞
Boundary Element Methods / by Stefan A. Sauter, Christoph Schwab
(Springer Series in Computational Mathematics. ISSN:21983712 ; 39)

版	1st ed. 2011.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XVII, 561 p : online resource
著者標目	*Sauter, Stefan A author Schwab, Christoph author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Differential equations FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations
一般注記	Preface -- Introduction -- Elliptic Differential Equations -- Elliptic Boundary Integral Equations -- Boundary Element Methods -- Generating the Matrix Coefficients -- Solution of Linear Systems of Equations -- Cluster Methods -- Parametric Surface Approximation -- A Posteriori Error Estimation -- Bibliography -- Index of Symbols -- Index This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems  in IR3. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way HTTP:URL=https://doi.org/10.1007/978-3-540-68093-2

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