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

共 31 条

[1] Physics, simulation and diagnostics of Hall effect thrusters [J].

Adam, J. C. ;

Boeuf, J. P. ;

Dubuit, N. ;

Dudeck, M. ;

Garrigues, L. ;

Gresillon, D. ;

Heron, A. ;

Hagelaar, G. J. M. ;

Kulaev, V. ;

Lemoine, N. ;

Mazouffre, S. ;

Luna, J. Perez ;

Pisarev, V. ;

Tsikata, S. .

PLASMA PHYSICS AND CONTROLLED FUSION, 2008, 50 (12)

[2] A fully asynchronous multifrontal solver using distributed dynamic scheduling [J].

Amestoy, PR ;

Duff, IS ;

L'Excellent, JY ;

Koster, J .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2001, 23 (01) :15-41

[3]

ANDERSON E., 1999, LAPACK USERSGUIDE, V3rd

[4] A numerical simulation of groundwater flow and contaminant transport on the CRAY T3D and C90 supercomputers [J].

Ashby, SF ;

Bosl, WJ ;

Falgout, RD ;

Smith, SG ;

Tompson, AFB ;

Williams, TJ .

INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS, 1999, 13 (01) :80-93

[5] FIELD-ALIGNED COORDINATES FOR NONLINEAR SIMULATIONS OF TOKAMAK TURBULENCE [J].

BEER, MA ;

COWLEY, SC ;

HAMMETT, GW .

PHYSICS OF PLASMAS, 1995, 2 (07) :2687-2700

[6] A model hierarchy for ionospheric plasma modeling [J].

Besse, C ;

Degond, P ;

Deluzet, F .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2004, 14 (03) :393-415

[7] Numerical simulations of the ionospheric striation model in a non-uniform magnetic field [J].

Besse, Christophe ;

Claudel, Jean ;

Degond, Pierre ;

Deluzet, Fabrice ;

Gallice, Gerard ;

Tessieras, Christian .

COMPUTER PHYSICS COMMUNICATIONS, 2007, 176 (02) :75-90

[8]

BREZIS H, 1964, SEMIN CHOQUET INITIA, V4, P1

[9]

BRULL S, ASYMPTOTIC PRE UNPUB

[10] An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit [J].

Crispel, Pierre ;

Degond, Pierre ;

Vignal, Marie-Helene .

JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 223 (01) :208-234

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