Jean Deteix,Thierno Diop,Michel Fortin
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
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Excellent- More about Numerical Methods for Mixed Finite Element Problems: Applications to Incompressible Materials and Contact Problems
This book provides an overview of iterative solvers and preconditioners for mixed finite element methods, focusing on discrete systems with constraints. It covers the augmented Lagrangian method, standard iterative methods, and the mixed formulation for Dirichlets boundary conditions. It is aimed at graduate students and researchers in numerical methods and scientific computing.
Format: Paperback / softback
Length: 116 pages
Publication date: 25 September 2022
Publisher: Springer International Publishing AG
This comprehensive book delves into the realm of iterative solvers and preconditioners for mixed finite element methods, offering a comprehensive overview of state-of-the-art solutions for discrete systems with constraints. It begins by revisiting the fundamental principles of mixed finite element methods, before delving into the augmented Lagrangian method and providing a summary of standard iterative techniques. Preconditioners, constructed from an approximate factorization of the mixed system, are then introduced.
The book explores a range of applications, focusing on incompressible elasticity problems and flow problems, including non-linear models. It also provides an in-depth account of the mixed formulation for Dirichlets boundary conditions, followed by a discussion of contact problems, where the interaction between incompressible bodies introduces two constraints.
Designed for graduate students and researchers in the field of numerical methods and scientific computing, this book offers a valuable resource for those seeking to advance their knowledge and expertise in this dynamic area.
Weight: 203g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031126154
Edition number: 1st ed. 2022
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