书目名称 | Numerical Methods for Mixed Finite Element Problems |
副标题 | Applications to Inco |
编辑 | Jean Deteix,Thierno Diop,Michel Fortin |
视频video | |
概述 | Develops a general framework‘for the numerical solution of mixed problems.Discusses preconditioned iterative methods.Provides applications to various problems |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
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 |
关键词 | Finite Element Methods; Iterative Methods; Augmented Lagrangian; Incompressible Elasticity; Contact Prob |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-12616-1 |
isbn_softcover | 978-3-031-12615-4 |
isbn_ebook | 978-3-031-12616-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |