Name
Title | ||
|---|---|---|
Derivative superconvergent points in finite element solutions of Poisson's equation for the serendipity and intermediate families—a theoretical justification |
Abstract | ||
|---|---|---|
Finite element derivative superconvergent points for the Poisson equation under local rectangular mesh (in the two dimensional case) and local brick mesh (in the three dimensional situation) are investigated. All super- convergent points for the nite element space of any order that is contained in the tensor-product space and contains the intermediate family can be pre- dicted. In case of the serendipity family, the results are given for nite element spaces of order below 7. Any nite element space that contains the complete polynomial space will have at least all superconvergent points of the related serendipity family. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1090/S0025-5718-98-00942-9 | Math. Comput. |
Keywords | Field | DocType |
finite element solution,derivative superconvergent point,intermediate family,theoretical justification,three dimensional,tensor product,product space,finite element,poisson equation | Tensor product,Poisson's equation,Mathematical analysis,Superconvergence,Finite element method,PSPACE,Numerical analysis,Partial differential equation,Mathematics,Mixed finite element method | Journal |
Volume | Issue | ISSN |
67 | 222 | 0025-5718 |
Citations | PageRank | References |
4 | 1.51 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhimin Zhang | 1 | 68 | 14.94 |