An asymptotic preserving scheme for strongly anisotropic elliptic problems
Numerical Analysis
2014-04-08 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0903.4984,
title = {An asymptotic preserving scheme for strongly anisotropic elliptic problems},
author = {Pierre Degond and Fabrice Deluzet and Claudia Negulescu},
journal= {arXiv preprint arXiv:0903.4984},
year = {2014}
}
Comments
21 pages