A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements |
| |
| Authors: | Barbara I. Wohlmuth Ronald H. W. Hoppe. |
| |
| Affiliation: | Math. Institute, University of Augsburg, D-86135 Augsburg, Germany ; Math. Institute, University of Augsburg, D-86135 Augsburg, Germany |
| |
| Abstract: | We consider mixed finite element discretizations of linear second order elliptic boundary value problems with respect to an adaptively generated hierarchy of possibly highly nonuniform simplicial triangulations. In particular, we present and analyze four different kinds of error estimators: a residual based estimator, a hierarchical one, error estimators relying on the solution of local subproblems and on a superconvergence result, respectively. Finally, we examine the relationship between the presented error estimators and compare their local components. |
| |
| Keywords: | Mixed finite elements a posteriori error estimation adaptive grid refinement |
|
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 |
|
点击此处可从《Mathematics of Computation》下载全文 |
