An asymptotic preserving scheme for strongly anisotropic elliptic problems

Details An asymptotic preserving scheme for strongly anisotropic elliptic problems An asymptotic preserving scheme for strongly anisotropic elliptic problems

2009-03-28

arxiv.org/abs/0903.4984v2

Mathematics

Numerical Analysis

21 pages

Scientific paper

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.

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