Name
Abstract | ||
|---|---|---|
In case of non-constant resistivity, cylindrical coordinates, and highly distorted polygonal meshes, a consistent discretization of the magnetic diffusion equations requires new discretization tools based on a discrete vector and tensor calculus. We developed a new discretization method using the mimetic finite difference framework. It is second-order accurate on arbitrary polygonal meshes and a consistent calculation of the Joule heating is intrinsic within it. The second-order convergence rates in L2 and L1 norms were verified with numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.jcp.2013.03.050 | Journal of Computational Physics |
Keywords | Field | DocType |
Mimetic finite differences,Magnetic diffusion,Cylindrical coordinates,Unstructured mesh | Convergence (routing),Discretization,Cylindrical coordinate system,Mathematical optimization,Polygon,Polygon mesh,Mathematical analysis,Finite difference,Joule heating,Tensor calculus,Mathematics | Journal |
Volume | ISSN | Citations |
247 | 0021-9991 | 3 |
PageRank | References | Authors |
0.52 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| K. Lipnikov | 1 | 521 | 57.35 |
| James Reynolds | 2 | 3 | 0.52 |
| Eric Nelson | 3 | 3 | 0.52 |