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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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


Authors: Barbara I. Wohlmuth and Ronald H. W. Hoppe
Journal: Math. Comp. 68 (1999), 1347-1378
MSC (1991): Primary 65F10, 65N30, 65N50, 65N55
Published electronically: May 19, 1999
MathSciNet review: 1651760
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Abstract | References | Similar Articles | Additional Information

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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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

DOI: http://dx.doi.org/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
Published electronically: May 19, 1999
Article copyright: © Copyright 1999 American Mathematical Society