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

Research output: Contribution to journal › Article › peer-review

56 Citations (Scopus)

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.

Original language	English
Pages (from-to)	145-170
Number of pages	26
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	184
Issue number	2-4
DOIs	https://doi.org/10.1016/S0045-7825(99)00227-3
Publication status	Published - 14 Apr 2000
Externally published	Yes

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10.1016/S0045-7825(99)00227-3

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title = "A domain decomposition preconditioner for an advection-diffusion problem",

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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AU - Achdou, Yves

AU - Le Tallec, Patrick

AU - Nataf, Frédéric

AU - Vidrascu, Marina

PY - 2000/4/14

Y1 - 2000/4/14

N2 - 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.

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

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

M3 - Article

AN - SCOPUS:0034646906

SN - 0045-7825

VL - 184

SP - 145

EP - 170

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 2-4

ER -

A domain decomposition preconditioner for an advection-diffusion problem

Abstract

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