Name
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. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/090754200 | MULTISCALE MODELING & SIMULATION |
Keywords | Field | DocType |
anisotropic elliptic equation,numerics,ill-conditioned problem,singular perturbation model,limit model,asymptotic preserving scheme | Mathematical optimization,Anisotropy,Mathematical analysis,Elliptic operator,Elliptic curve point multiplication,Neumann boundary condition,Elliptic curve,Mathematics | Journal |
Volume | Issue | ISSN |
8 | 2 | 1540-3459 |
Citations | PageRank | References |
13 | 1.00 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierre Degond | 1 | 251 | 43.75 |
| Fabrice Deluzet | 2 | 62 | 9.73 |
| Claudia Negulescu | 3 | 58 | 7.71 |