AN ASYMPTOTIC PRESERVING SCHEME FOR STRONGLY ANISOTROPIC ELLIPTIC PROBLEMS

被引：43

作者：

Degond, Pierre ^{[1
,2
]}

Deluzet, Fabrice ^{[1
,2
]}

Negulescu, Claudia ^{[3
]}

机构：

[1] Univ Toulouse, UPS, INSA, UT1,UTM,Inst Math Toulouse, F-31062 Toulouse, France

[2] CNRS, UMR 5219, Inst Math Toulouse, F-31062 Toulouse, France

[3] Univ Aix Marseille 1, CMI, LATP, F-13453 Marseille 13, France

来源：

MULTISCALE MODELING & SIMULATION | 2010年 / 8卷 / 02期

关键词：

anisotropic elliptic equation; numerics; ill-conditioned problem; singular perturbation model; limit model; asymptotic preserving scheme; MODEL; SIMULATIONS;

D O I：

10.1137/090754200

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we introduce an asymptotic preserving scheme designed to compute the solution of a two-dimensional elliptic equation presenting large anisotropies. We focus on an anisotropy aligned with one direction, the dominant part of the elliptic operator being supplemented with Neumann boundary conditions. A new scheme is introduced which allows an accurate resolution of this elliptic equation for an arbitrary anisotropy ratio.

引用

页码：645 / 666

页数：22

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