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- Title
Duality-based adaptivity in the hp-finite element method.
- Authors
Heuveline, V.; Rannacher, R.
- Abstract
In this paper a duality-based a posteriori error analysis is developed for the conforming hp Galerkin finite element approximation of second-order elliptic problems Duality arguments combined with Galerkin orthogonalty yield representations of the error in arbitrary quantities of interest From these error estimates, criteria are derived for the simultaneous adaptation of the mesh size h and the polynomial degree p. The effectivity of this procedure is confirmed by numerical tests.
- Publication
Journal of Numerical Mathematics, 2003, Vol 11, Issue 2, p95
- ISSN
1570-2820
- Publication type
Academic Journal
- DOI
10.1515/156939503766614126