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Numerical methods for mixed finite element problems applications to incompressible materials and contact problems Jean Deteix, Thierno Diop, Michel Fortin

Von: Mitwirkende(r): Materialtyp: TextTextSprache: Englisch Reihen: ; 2318 | Lecture notes in mathematics ; 2318Verlag: Cham, Switzerland Springer Nature [2022]Copyright-Datum: © 2022Beschreibung: vi, 114 Seiten Illustrationen, Diagramme 24 cmInhaltstyp:
  • Text
Medientyp:
  • ohne Hilfsmittel zu benutzen
Datenträgertyp:
  • Band
ISBN:
  • 9783031126154
Schlagwörter: Andere physische Formen: Kein Titel; Erscheint auch als: Numerical Methods for Mixed Finite Element ProblemsAndere Klassifikation:
  • SK 950
  • SI 850
  • 74S05
  • 65N22
  • 65F10
  • 65F08
  • 74B20
  • 74M15
  • 31.76
  • 33.06
Online-Ressourcen: Zusammenfassung: Klappentext: 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.Andere Ausgaben: Erscheint auch als (Online-Ausgabe): / Deteix, Jean: Numerical Methods for Mixed Finite Element Problems
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Buch Buch Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik) Campusbibliothek für Informatik und Mathematik (E2 3) Series (GF) LNM 2318 (Regal durchstöbern(Öffnet sich unterhalb)) Verfügbar 2202000629191

Klappentext: 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.

Deteix, Jean: Numerical Methods for Mixed Finite Element Problems

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