Codice | 47/2016 |
Titolo | On p-Robust Saturation for hp-AFEM |
Data | 2016-11-17 |
Autore/i | Canuto, C.; Nochetto, R. H.; Stevenson R.; Verani, M. |
Link | Download full text |
Abstract | For the Poisson problem in two dimensions,
we consider the standard adaptive finite element loop solve, estimate, mark, refine, with
estimate being implemented using the $p$-robust equilibrated flux estimator, and, mark being Dorfler marking.
As a refinement strategy we employ $p$-refinement. We investigate the question by which amount the local polynomial degree on any marked patch has to be increase in order to achieve a p-independent error reduction.
The resulting adaptive method can be turned into an instance optimal $hp$-adaptive method by the addition of a coarsening routine. |
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