Numerical Methods for Mixed Finite Element Problems: Applications to Incompressible Materials and Contact Problems: 2318 (Lecture Notes in Mathematics) - Softcover

Deteix, Jean; Diop, Thierno; Fortin, Michel

 
9783031126154: Numerical Methods for Mixed Finite Element Problems: Applications to Incompressible Materials and Contact Problems: 2318 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3031126157 ISBN 13: 9783031126154
Verlag: Springer, 2022

Inhaltsangabe

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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Über die Autorin bzw. den Autor


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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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
3031126157
ISBN 13 
9783031126154
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
124
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Deutschland

Weitere beliebte Ausgaben desselben Titels

9783031126178: Numerical Methods for Mixed Finite Element Problems: Applications to Incompressible Materials and Contact Problems

Vorgestellte Ausgabe

ISBN 10:  3031126173 ISBN 13:  9783031126178
Verlag: Springer, 2022
Softcover