Name
Title | ||
|---|---|---|
Error estimates on a finite volume method for diffusion problems with interface on rectangular grids. |
Abstract | ||
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The finite volume methods are frequently employed in the discretization of diffusion problems with interface. In this paper, we firstly present a vertex-centered MACH-like finite volume method for solving stationary diffusion problems with strong discontinuity and multiple material cells on the Eulerian quadrilateral grids. This method is motivated by Frese [No. AMRC-R-874, Mission Research Corp., Albuquerque, NM, 1987]. Then, the local truncation error and global error estimates of the degenerate five-point MACH-like scheme are derived by introducing some new techniques. Especially under some assumptions, we prove that this scheme can reach the asymptotic optimal error estimate O(h2|lnh|) in the maximum norm. Finally, numerical experiments verify theoretical results.
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Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.amc.2017.05.029 | Applied Mathematics and Computation |
Keywords | Field | DocType |
65N08, 65N12, 65N15, Diffusion problems with interface, Error estimates, Eulerian grids, Finite volume method | Discretization,Degenerate energy levels,Mathematical optimization,Mathematical analysis,Discontinuity (linguistics),Eulerian path,Truncation error (numerical integration),Finite volume method,Global error,Mathematics,Finite volume method for one-dimensional steady state diffusion | Journal |
Volume | ISSN | Citations |
311 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 8 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jie Peng | 1 | 8 | 4.26 |
| Shi Shu | 2 | 86 | 11.70 |
| Haiyuan Yu | 3 | 371 | 24.42 |
| Chunsheng Feng | 4 | 5 | 2.59 |
| Mingxian Kan | 5 | 0 | 0.34 |
| Ganghua Wang | 6 | 0 | 0.34 |