Name
Abstract | ||
|---|---|---|
We propose an arbitrary-order discontinuous Galerkin method for second-order elliptic problem on general polygonal mesh with only one degree of freedom per element. This is achieved by locally solving a discrete least-squares over a neighboring element patch. Under a geometrical condition on the element patch, we prove an optimal a priori error estimates in the energy norm and in the \(\hbox {L}^2\) norm. The accuracy and the efficiency of the method up to order six on several polygonal meshes are illustrated by a set of benchmark problems. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10915-019-00937-y | Journal of Scientific Computing |
Keywords | Field | DocType |
Least-squares reconstruction, Discontinuous Galerkin method, Elliptic problem, Primary 65N30, 49N45, Secondary 74K20 | Discontinuous Galerkin method,Degrees of freedom (statistics),Polygon,Polygon mesh,Mathematical analysis,A priori and a posteriori,Mathematics | Journal |
Volume | Issue | ISSN |
80 | 1 | 1573-7691 |
Citations | PageRank | References |
1 | 0.37 | 13 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Li R | 1 | 241 | 37.70 |
| Pingbing Ming | 2 | 72 | 12.02 |
| Ziyuan Sun | 3 | 1 | 0.37 |
| Zhijian Yang | 4 | 19 | 4.49 |