Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems

Descripción

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 131 pp. Englisch.

N° de ref. del artículo 9783319563053

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Detalles bibliográficos

Título

Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems

Editor

Berlin Springer International Publishing Springer Apr 2017

Fecha de publicación

2017

Idioma

Inglés

ISBN 10

331956305X

ISBN 13

9783319563053

Encuadernación

Buch

Estado

Neu

Dimensiones

241 mm an. × 160 al. × 13 l. 241 milímetros de ancho por 160 de alto por 13 de largo

Peso

382 gramos

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