An Asymptotic Preserving Scheme for Strongly Anisotropic Elliptic Problems
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Multiscale Modeling & Simulation
دوره 8 شماره
صفحات -
تاریخ انتشار 2009