Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems

Autor: James Lottes

Jazyk:

Väzba: Pevná

Vydavateľ: Springer International Publishing AG

Dostupnosť: Skladom u dodávateľa v malom množstve

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

Informácie o knihe

Autor

James Lottes

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2017

Stránok

131

EAN

9783319563053

ISBN

331956305X

Enbook ID

15996196

Vydavateľ

Springer International Publishing AG

Hmotnosť

3435

Rozmery

155 x 235 x 13

Kompletný 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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