Name
Abstract | ||
|---|---|---|
In this paper new asymptotic-preserving schemes are introduced for the iterative resolution of anisotropic elliptic equations arising in magnetized plasma simulations. These methods overcome the resolution of the saddle point problems systematically implemented in precedent realizations. This allows us to easily derive iterative solvers for these asymptotic-preserving schemes. It brings a leap forward in the computational efficiency of the method for three-dimensional problems. This is conclusively outlined thanks to three-dimensional serial computations carrying out tens of millions of unknowns. The gains are substantial in terms of memory as well as computational requirements compared to sparse direct solvers, which represent the only alternative successfully operated so far. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1137/17M1113965 | MULTISCALE MODELING & SIMULATION |
Keywords | Field | DocType |
asymptotic-preserving methods,anisotropic elliptic equations,singular perturbation problem,plasma physics | Anisotropy,Mathematical analysis,Plasma,Mathematics | Journal |
Volume | Issue | ISSN |
16 | 4 | 1540-3459 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chang Yang | 1 | 16 | 3.81 |
| Jonathan Claustre | 2 | 0 | 0.68 |
| Fabrice Deluzet | 3 | 62 | 9.73 |