| Autor: |
Peng, Jie, Shu, Shi, Yu, Haiyuan, Feng, Chunsheng, Kan, Mingxian, Wang, Ganghua |
| Rok vydání: |
2016 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| Popis: |
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 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 $O(h^2 |\ln h|)$ in the maximum norm. Finally, numerical experiments verify theoretical results. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
