Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems

Autor: James Lottes

Jazyk:

Vazba: Pevná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele v malém množství

Odesíláme za 13-18 dnů

1 311 Kč

This thesis presents a rigorous, abstract analysis of multigrid methods for positive nonsymmetric pr...

Informace o knize

Autor

James Lottes

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2017

Stránek

131

EAN

9783319563053

ISBN

331956305X

Enbook ID

15996196

Vydavatel

Springer International Publishing AG

Hmotnost

3435

Rozměry

155 x 235 x 13

Kompletní popis

This thesis presents a rigorous, abstract analysis of multigrid methods for positive nonsymmetric problems, particularly suited to algebraic multigrid, with a completely new approach to nonsymmetry which is based on a new concept of absolute value for nonsymmetric operators. Multigrid, and in particular algebraic multigrid, has become an indispensable tool for the solution of discretizations of partial differential equations. While used in both the symmetric and nonsymmetric cases, the theory for the nonsymmetric case has lagged substantially behind that for the symmetric case. This thesis closes some of this gap, presenting a major and highly original contribution to an important problem of computational science. The new approach to nonsymmetry will be of interest to anyone working on the analysis of discretizations of nonsymmetric operators, even outside the context of multigrid. The presentation of the convergence theory may interest even those only concerned with the symmetric case, as it sheds some new light on and extends existing results.

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Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems

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