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＜電子ブック＞
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.
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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