On Hierarchical Error Estimators for Time-Discretized Phase Field Models

Carsten Gräser (), Ralf Kornhuber and Uli Sack
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Carsten Gräser: Freie Universität Berlin
Ralf Kornhuber: Freie Universität Berlin
Uli Sack: Freie Universität Berlin

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 397-405 from Springer

Abstract: Abstract 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.

Keywords: Posteriori Error; Time Step Size; Obstacle Problem; Posteriori Error Estimate; Posteriori Error Estimator (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_42

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DOI: 10.1007/978-3-642-11795-4_42

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