Name
Abstract | ||
|---|---|---|
This paper is devoted to studying the Arnold-Winther mixed finite element method for two-dimensional Stokes eigenvalue problems using the stress-velocity formulation. A priori error estimates for the eigenvalue and eigenfunction errors are presented. To improve the approximation for both eigenvalues and eigenfunctions, we propose a local postprocessing. With the help of the local postprocessing, we derive a reliable a posteriori error estimator which is shown to be empirically efficient. We confirm numerically the proven higher order convergence of the postprocessed eigenvalues for convex domains with smooth eigenfunctions. On adaptively refined meshes we obtain numerically optimal higher orders of convergence of the postprocessed eigenvalues even on nonconvex domains. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1137/17M1162032 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
priori analysis,a posteriori analysis,Arnold-Winther finite element,mixed finite element,Stokes eigenvalue problem | Convergence (routing),Mathematical optimization,Eigenfunction,Mathematical analysis,A priori and a posteriori,Finite element method,Regular polygon,Mathematics,Eigenvalues and eigenvectors,Mixed finite element method,Estimator | Journal |
Volume | Issue | ISSN |
40 | 5 | 1064-8275 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joscha Gedicke | 1 | 58 | 9.24 |
| Arbaz Khan | 2 | 15 | 3.46 |