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Titlebook: Numerical Methods for Mixed Finite Element Problems; Applications to Inco Jean Deteix,Thierno Diop,Michel Fortin Book 2022 The Editor(s) (i

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發(fā)表于 2025-3-21 16:13:05 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Numerical Methods for Mixed Finite Element Problems
副標(biāo)題Applications to Inco
編輯Jean Deteix,Thierno Diop,Michel Fortin
視頻videohttp://file.papertrans.cn/670/669075/669075.mp4
概述Develops a general framework‘for the numerical solution of mixed problems.Discusses preconditioned iterative methods.Provides applications to various problems
叢書(shū)名稱(chēng)Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Numerical Methods for Mixed Finite Element Problems; Applications to Inco Jean Deteix,Thierno Diop,Michel Fortin Book 2022 The Editor(s) (i
描述.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..
出版日期Book 2022
關(guān)鍵詞Finite Element Methods; Iterative Methods; Augmented Lagrangian; Incompressible Elasticity; Contact Prob
版次1
doihttps://doi.org/10.1007/978-3-031-12616-1
isbn_softcover978-3-031-12615-4
isbn_ebook978-3-031-12616-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Numerical Methods for Mixed Finite Element Problems978-3-031-12616-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
板凳
發(fā)表于 2025-3-22 01:16:49 | 只看該作者
Jean Deteix,Thierno Diop,Michel FortinDevelops a general framework‘for the numerical solution of mixed problems.Discusses preconditioned iterative methods.Provides applications to various problems
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發(fā)表于 2025-3-22 08:37:09 | 只看該作者
Lecture Notes in Mathematicshttp://image.papertrans.cn/n/image/669075.jpg
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https://doi.org/10.1007/978-3-031-12616-1Finite Element Methods; Iterative Methods; Augmented Lagrangian; Incompressible Elasticity; Contact Prob
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Iterative Solvers for Mixed Problems,We now come to our main issue, the numerical solution of problems (.), (.) and (.) which are indefinite problems, although with a well defined structure.
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Conclusion,We hope to have shown that solving mixed problems can be accomplished efficiently. This work is clearly not exhaustive and we have indeed tried to open the way for future research. We have relied as building bricks on rather classical iterative methods.
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