A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
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- by Barbara I. Wohlmuth and Ronald H. W. Hoppe PDF
- Math. Comp. 68 (1999), 1347-1378 Request permission
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.References
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Additional Information
- Barbara I. Wohlmuth
- Affiliation: Math. Institute, University of Augsburg, D-86135 Augsburg, Germany
- Email: wohlmuth@math.uni-augsburg.de
- Ronald H. W. Hoppe
- Affiliation: Math. Institute, University of Augsburg, D-86135 Augsburg, Germany
- Email: hoppe@math.uni-augsburg.de
- Published electronically: May 19, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 68 (1999), 1347-1378
- MSC (1991): Primary 65F10, 65N30, 65N50, 65N55
- DOI: https://doi.org/10.1090/S0025-5718-99-01125-4
- MathSciNet review: 1651760