Multilevel Block Factorization Preconditioners Matrix-based Analysis and Algorithms for Solving Finite Element Equations /

This monograph is the first to provide a comprehensive, self-contained and rigorous presentation of some of the most powerful preconditioning methods for solving finite element equations in a common block-matrix factorization framework. Topics covered include the classical incomplete block-factoriza...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Vassilevski, Panayot S. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Temas:
Mathematics-Data processing.
Differential equations.
Computational Mathematics and Numerical Analysis.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Motivation for Preconditioning
  • A Finite Element Tutorial
  • A Main Goal
  • Block Factorization Preconditioners
  • Two-by-Two Block Matrices and Their Factorization
  • Classical Examples of Block-Factorizations
  • Multigrid (MG)
  • Topics on Algebraic Multigrid (AMG)
  • Domain Decomposition (DD) Methods
  • Preconditioning Nonsymmetric and Indefinite Matrices
  • Preconditioning Saddle-Point Matrices
  • Variable-Step Iterative Methods
  • Preconditioning Nonlinear Problems
  • Quadratic Constrained Minimization Problems.

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