AN ASYMPTOTIC PRESERVING SCHEME FOR STRONGLY ANISOTROPIC ELLIPTIC PROBLEMS

作者：Degond Pierre^*; Deluzet Fabrice; Negulescu Claudia

来源：Multiscale Modeling and Simulation, 2010, 8(2): 645-666.

DOI：10.1137/090754200

• anisotropic elliptic equation
• numerics
• ill-conditioned problem
• singular perturbation model
• limit model
• asymptotic preserving scheme

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.

• 出版日期2010