Name
Title | ||
|---|---|---|
A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes |
Abstract | ||
|---|---|---|
A nine point scheme is presented for discretizing diffusion operators on distorted quadrilateral meshes. The advantage of this method is that highly distorted meshes can be used without the numerical results being altered remarkably, and it treats material discontinuities rigorously and offers an explicit expression for the face-centered flux; moreover, it has only the cell-centered unknowns. We prove that the method is stable and has first-order convergence on distorted meshes. Numerical experiments show that the method has second-order or nearly second-order accuracy on distorted meshes. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/060665853 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
diffusion operator,distorted quadrilateral meshes,face-centered flux,explicit expression,second-order accuracy,numerical experiment,diffusion operators,distorted quadrilateral mesh,numerical result,distorted mesh,first-order convergence,cell-centered unknown,point scheme,convergence,diffusion equation | Convergence (routing),Discretization,Mathematical optimization,Polygon mesh,Classification of discontinuities,Mathematical analysis,Volume mesh,Operator (computer programming),Numerical analysis,Mathematics,Diffusion equation | Journal |
Volume | Issue | ISSN |
30 | 3 | 1064-8275 |
Citations | PageRank | References |
18 | 1.22 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhiqiang Sheng | 1 | 129 | 14.39 |
| Guangwei Yuan | 2 | 165 | 23.06 |