Name
Title | ||
|---|---|---|
A posteriori error estimates for a Virtual Element Method for the Steklov eigenvalue problem. |
Abstract | ||
|---|---|---|
The paper deals with the a posteriori error analysis of a virtual element method for the Steklov eigenvalue problem. The virtual element method has the advantage of using general polygonal meshes, which allows implementing efficiently mesh refinement strategies. We introduce a residual type a posteriori error estimator and prove its reliability and global efficiency. Local efficiency estimates also hold, although in some elements they involve boundary terms that are not known to be locally negligible. We use the corresponding error estimator to drive an adaptive scheme. Finally, we report the results of a couple of numerical tests, that allow us to assess the performance of this approach. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.camwa.2017.05.016 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Virtual element method,A posteriori error estimates,Steklov eigenvalue problem,Polygonal meshes | Numerical tests,Residual,Mathematical optimization,Polygon,Polygon mesh,A priori and a posteriori,Mathematics,Eigenvalues and eigenvectors,Estimator | Journal |
Volume | Issue | ISSN |
74 | 9 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| David Mora | 1 | 34 | 8.92 |
| Gonzalo Rivera | 2 | 3 | 1.41 |
| R. Rodríguez | 3 | 72 | 19.18 |