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Numerical methods for mixed finite element problemsapplications to incompressible materials and contact problems /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical methods for mixed finite element problemsby Jean Deteix, Thierno Diop, Michel Fortin.
Reminder of title:	applications to incompressible materials and contact problems /
Author:	Deteix, Jean.
other author:	Diop, Thierno.
Published:	Cham :Springer International Publishing :2022.
Description:	vi, 116 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Finite element method.
Online resource:	https://doi.org/10.1007/978-3-031-12616-1
ISBN:	9783031126161$q(electronic bk.)

Numerical methods for mixed finite element problemsapplications to incompressible materials and contact problems /
Deteix, Jean.

Numerical methods for mixed finite element problemsapplications to incompressible materials and contact problems /[electronic resource] :by Jean Deteix, Thierno Diop, Michel Fortin. - Cham :Springer International Publishing :2022. - vi, 116 p. :ill. (chiefly color), digital ;24 cm. - Lecture notes in mathematics,v. 23181617-9692 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783031126161$q(electronic bk.)

Standard No.: 10.1007/978-3-031-12616-1doiSubjects--Topical Terms:

184533
Finite element method.

LC Class. No.: QC20.7.F56 / D47 2022

Dewey Class. No.: 518.25

Numerical methods for mixed finite element problemsapplications to incompressible materials and contact problems /
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