Numerical methods for mixed finite element problems [Documento eletrónico] : applications to incompressible materials and contact problems / by Jean Deteix, Thierno Diop, Michel Fortin
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, Springer, 2022Description: VI, 116 p. : il.ISBN: 978-3-031-12616-1.Series: Lecture Notes in Mathematics, 2318Subject - Topical Name: Mathematics -- Data processing | Algorithms | Engineering mathematics | Engineering -- Data processing | Numerical analysis | Mechanics, Applied | Solids Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA71.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96059 |
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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