Mathematics of Computation

A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements

Author(s): Barbara I. Wohlmuth; Ronald H. W. Hoppe.
Journal: Math. Comp. 68 (1999), 1347-1378.
MSC (1991): Primary 65F10, 65N30, 65N50, 65N55
Posted: May 19, 1999
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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.

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Retrieve articles in Mathematics of Computation with MSC (1991): 65F10, 65N30, 65N50, 65N55

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

DOI: 10.1090/S0025-5718-99-01125-4
PII: S 0025-5718(99)01125-4
Keywords: Mixed finite elements, a posteriori error estimation, adaptive grid refinement
Posted: May 19, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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