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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

Paperback

Series: Lecture Notes in Mathematics, Book 2318

Technology & EngineeringGeneral MathematicsProgramming

ISBN10: 3031126157
ISBN13: 9783031126154
Publisher: Springer Nature
Published: Sep 25 2022
Pages: 116
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics