A domain decomposition preconditioner for an advection-diffusion problem

Yves Achdou; Patrick Le Tallec; Frédéric Nataf; Marina Vidrascu

doi:10.1016/S0045-7825(99)00227-3

A domain decomposition preconditioner for an advection-diffusion problem

Yves Achdou
, Patrick Le Tallec
, Frédéric Nataf
, Marina Vidrascu

INSA Rennes
Université Paris Dauphine
Ecole polytechnique
INRIA Rocquencourt

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

56 Citations (Scopus)

Résumé

We propose a generalization of the Neumann-Neumann algorithm for advection-diffusion problems: the Neumann conditions are replaced by suitable Robin conditions. The method is first introduced and analysed in the case where the domain is partitioned into vertical strips, then generalized to an arbitrary decomposition. A coarse space procedure is proposed. Finally, numerical results for bidimensional and tridimensional tests are given. (C) 2000 Elsevier Science S.A. All rights reserved.

langue originale	Anglais
Pages (de - à)	145-170
Nombre de pages	26
journal	Computer Methods in Applied Mechanics and Engineering
Volume	184
Numéro de publication	2-4
Les DOIs	https://doi.org/10.1016/S0045-7825(99)00227-3
état	Publié - 14 avr. 2000
Modification externe	Oui

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10.1016/S0045-7825(99)00227-3

Contient cette citation

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abstract = "We propose a generalization of the Neumann-Neumann algorithm for advection-diffusion problems: the Neumann conditions are replaced by suitable Robin conditions. The method is first introduced and analysed in the case where the domain is partitioned into vertical strips, then generalized to an arbitrary decomposition. A coarse space procedure is proposed. Finally, numerical results for bidimensional and tridimensional tests are given. (C) 2000 Elsevier Science S.A. All rights reserved.",

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AB - We propose a generalization of the Neumann-Neumann algorithm for advection-diffusion problems: the Neumann conditions are replaced by suitable Robin conditions. The method is first introduced and analysed in the case where the domain is partitioned into vertical strips, then generalized to an arbitrary decomposition. A coarse space procedure is proposed. Finally, numerical results for bidimensional and tridimensional tests are given. (C) 2000 Elsevier Science S.A. All rights reserved.

U2 - 10.1016/S0045-7825(99)00227-3

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JO - Computer Methods in Applied Mechanics and Engineering

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A domain decomposition preconditioner for an advection-diffusion problem

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