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Numerical Methods for Mixed Finite Element Problems : Applications to Incompressible Materials and Contact Problems

Numerical Methods for Mixed Finite Element Problems : Applications to Incompressible Materials and Contact Problems

Numerical Methods for Mixed Finite Element Problems : Applications to Incompressible Materials and Contact Problems Paperback - 2022

by Jean Deteix

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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 form
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Details

  • Title Numerical Methods for Mixed Finite Element Problems : Applications to Incompressible Materials and Contact Problems
  • Author Jean Deteix
  • Binding Paperback
  • Condition New
  • Pages 116
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2022-09-25
  • Illustrated Yes
  • Features Illustrated
  • Bookseller's Inventory # ria9783031126154_inp
  • ISBN 9783031126154 / 3031126157
  • Weight 0.41 lbs (0.19 kg)
  • Dimensions 9.21 x 6.14 x 0.26 in (23.39 x 15.60 x 0.66 cm)
  • Category Mathematics
  • Quantity available 210

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Reader reviews for Numerical Methods for Mixed Finite Element Problems : Applications to Incompressible Materials and Contact Problems

From the publisher

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.

From the rear cover

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.

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