Name
Title | ||
|---|---|---|
Adaptive Bilinear Element Finite Volume Methods for Second-Order Elliptic Problems on Nonmatching Grids. |
Abstract | ||
|---|---|---|
In this article, we propose and analyze two kinds of adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids. One of them chooses the piecewise bilinear finite element space as the trial function space, which is continuous on the matching part of a grid and is discontinuous on the nonmatching part of it. The other directly uses discontinuous piecewise bilinear element space for the trial function space. A priori estimations ensure the convergence and a posteriori estimations pave the way for adaptive methods. Several numerical experiments are presented to conform our theoretical results. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s10915-014-9927-9 | Journal of Scientific Computing |
Keywords | Field | DocType |
Finite volume method, Discontinuous Galerkin method, A posteriori estimates, Hanging nodes, Elliptic problems, 65N08, 65N15, 65N30 | Convergence (routing),Discontinuous Galerkin method,Mathematical optimization,Function space,Mathematical analysis,Finite element method,Finite volume method,Grid,Mathematics,Piecewise,Bilinear interpolation | Journal |
Volume | Issue | ISSN |
64 | 1 | 1573-7691 |
Citations | PageRank | References |
0 | 0.34 | 10 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yanli Chen | 1 | 0 | 0.34 |
| Yonghai Li | 2 | 0 | 0.68 |
| Zhiqiang Sheng | 3 | 129 | 14.39 |
| Guangwei Yuan | 4 | 165 | 23.06 |