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＜電子ブック＞
Numerical Approximation Methods for Elliptic Boundary Value Problems : Finite and Boundary Elements / by Olaf Steinbach

版	1st ed. 2008.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	2008
本文言語	英語
大きさ	XII, 386 p : online resource
著者標目	*Steinbach, Olaf author SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Mathematics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 FREE:Numerical Analysis FREE:Applications of Mathematics FREE:Mathematical and Computational Engineering Applications
一般注記	Boundary Value Problems -- Function Spaces -- Variational Methods -- Variational Formulations of Boundary Value Problems -- Fundamental Solutions -- Boundary Integral Operators -- Boundary Integral Equations -- Approximation Methods -- Finite Elements -- Boundary Elements -- Finite Element Methods -- Boundary Element Methods -- Iterative Solution Methods -- Fast Boundary Element Methods -- Domain Decomposition Methods Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods. Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered. This textbook may serve as a basis for an introductory course in particular for boundary element methods including modern trends such as fast boundary element methods and efficient solution methods, as well as the coupling of finite and boundary element methods HTTP:URL=https://doi.org/10.1007/978-0-387-68805-3

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