Numerical methods for mixed finite element problems : applications to incompressible materials and contact problems
Author(s)
Bibliographic Information
Numerical methods for mixed finite element problems : applications to incompressible materials and contact problems
（Lecture notes in mathematics, 2318）
Springer, c2022
Available at 27 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/M||LNM||2318200043207926
Note
Includes bibliographical references (p. 107-111) and index
Description and Table of Contents
Description
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.
Table of Contents
- 1. Introduction. - 2. Mixed Problems. - 3. Iterative Solvers for Mixed Problems. - 4. Numerical Results: Cases Where Q=Q'. - 5. Contact Problems: A Case Where Q Q'. - 6. Solving Problems with More Than One Constraint. - 7. Conclusion.
by "Nielsen BookData"