Name
Title | ||
|---|---|---|
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes |
Abstract | ||
|---|---|---|
We investigate the convergence of a finite volume scheme for the approximation of diffusion operators on distorted meshes. The method was originally introduced by Hermeline [F. Hermeline, A finite volume method for the approximation of diffusion operators on distorted meshes, J. Comput. Phys. 160 (2000) 481-499], which has the advantage that highly distorted meshes can be used without the numerical results being altered. In this work, we prove that this method is of first-order accuracy on highly distorted meshes. The results are further extended to the diffusion problems with discontinuous coefficient and non-stationary diffusion problems. Numerical experiments are carried out to confirm the theoretical predications. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jcp.2006.11.011 | J. Comput. Physics |
Keywords | Field | DocType |
diffusion problem,diffusion equation,65m12,distorted mesh,f. hermeline,diffusion equations,accuracy,65m06,65m55,finite volume scheme,diffusion operator,non-stationary diffusion problem,numerical experiment,j. comput,finite volume method,numerical result,first order | Convergence (routing),Mathematical optimization,Polygon mesh,First order,Mathematical analysis,Operator (computer programming),Finite volume method,Diffusion equation,Mathematics | Journal |
Volume | Issue | ISSN |
224 | 2 | Journal of Computational Physics |
Citations | PageRank | References |
8 | 1.68 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guangwei Yuan | 1 | 165 | 23.06 |
| Zhiqiang Sheng | 2 | 129 | 14.39 |