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Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics

Parametri

  • 305pagine
  • 11 ore di lettura

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A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems.

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Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics, Roland Glowinski

Lingua
Pubblicato
1987
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Metodi di pagamento

Titolo
Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics
Lingua
Inglese
Formato
Copertina rigida
Pagine
305
ISBN10
0898712300
ISBN13
9780898712308
Serie
Descrizione
A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems.