Name
Title | ||
|---|---|---|
A posterior error estimator and lower bound of a nonconforming finite element method. |
Abstract | ||
|---|---|---|
In this paper, we present an a posteriori error estimator and the lower bound for a nonconforming finite element approximation, i.e. the extended Crouzeix-Raviart element, of the Laplace eigenvalue problem. Under the guideline of the analysis to the Laplace source problem, we first give out an error indicator and prove it as the global upper and local lower bounds of the approximation error. We also give the lower-bound analysis for this type of nonconforming element on the adaptive meshes. Some numerical experiments are presented to verify our theoretical results. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cam.2013.09.030 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
nonconforming finite element method,extended crouzeix-raviart element,lower-bound analysis,laplace source problem,laplace eigenvalue problem,posteriori error estimator,posterior error estimator,nonconforming finite element approximation,local lower bound,approximation error,error indicator,nonconforming element,lower bound | Mathematical optimization,Polygon mesh,Laplace transform,Upper and lower bounds,Mathematical analysis,A priori and a posteriori,Finite element method,Eigenvalues and eigenvectors,Mathematics,Approximation error,Estimator | Journal |
Volume | ISSN | Citations |
265 | 0377-0427 | 1 |
PageRank | References | Authors |
0.37 | 7 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qun Lin | 1 | 78 | 14.23 |
| Fusheng Luo | 2 | 1 | 0.37 |
| Hehu Xie | 3 | 102 | 14.06 |