On Hierarchical Error Estimators for Time-discretized Phase Field Models
Please always quote using this URN:urn:nbn:de:0296-matheon-6592
- {We suggest hierarchical a posteriori error estimators for time-discretized Allen-Cahn and Cahn-Hilliard equations with logarithmic potential and investigate their robustness numerically. We observe that the associated effectivity ratios seem to saturate for decreasing mesh size and are almost independent of the temperature.
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| Author: | Carsten Gräser, Ralf Kornhuber, Uli Sack |
|---|---|
| URN: | urn:nbn:de:0296-matheon-6592 |
| Referee: | Ralf Kornhuber |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2009/09/30 |
| Release Date: | 2009/09/30 |
| Tag: | |
| Institute: | Freie Universität Berlin |
| Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods |
| Preprint Number: | 665 |
