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Numerical Methods for Mixed Finite Element Problems : Applications to Incompressible Materials and Contact Problems / by Jean Deteix, Thierno Diop, Michel Fortin
(Lecture Notes in Mathematics. ISSN:16179692 ; 2318)
版 | 1st ed. 2022. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2022 |
本文言語 | 英語 |
大きさ | VI, 116 p. 29 illus., 22 illus. in color : online resource |
著者標目 | *Deteix, Jean author Diop, Thierno author Fortin, Michel author SpringerLink (Online service) |
件 名 | LCSH:Mathematics -- Data processing
全ての件名で検索
LCSH:Algorithms LCSH:Engineering mathematics LCSH:Engineering -- Data processing 全ての件名で検索 LCSH:Numerical analysis LCSH:Mechanics, Applied LCSH:Solids FREE:Computational Mathematics and Numerical Analysis FREE:Algorithms FREE:Mathematical and Computational Engineering Applications FREE:Numerical Analysis FREE:Solid Mechanics |
一般注記 | This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system. A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models. An account of the mixed formulation for Dirichlet’s boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints. This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing HTTP:URL=https://doi.org/10.1007/978-3-031-12616-1 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783031126161 |
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電子リソース |
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EB00236221 |