Repository: Freie Universität Berlin, Math Department

On hierarchical error estimators for time-discretized phase field models

Gräser, C. and Kornhuber, R. and Sack, U. (2010) On hierarchical error estimators for time-discretized phase field models. In: Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009. Springer Berlin Heidelberg, pp. 397-405. ISBN 978-3-642-11794-7

[img]
Preview
PDF
338kB

Official URL: https://dx.doi.org/10.1007/978-3-642-11795-4

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.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1881
Deposited By: Ekaterina Engel
Deposited On:30 Mar 2016 17:48
Last Modified:03 Mar 2017 14:42

Repository Staff Only: item control page