A posteriori estimates for the cahn-hilliard equation with obstacle free energy

Lubomir Banas, Robert Nürnberg

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We derive a posteriori estimates for a discretization in space of the standard Cahn-Hilliard equation with a double obstacle free energy. The derived estimates are robust and efficient, and in practice are combined with a heuristic time step adaptation. We present numerical experiments in two and three space dimensions and compare our method with an existing heuristic spatial mesh adaptation algorithm. © 2009 EDP Sciences SMAI.

Original languageEnglish
Pages (from-to)1003-1026
Number of pages24
JournalMathematical Modelling and Numerical Analysis
Volume43
Issue number5
DOIs
Publication statusPublished - Sep 2009

Keywords

  • A posteriori estimates
  • Adaptive numerical methods
  • Cahn-Hilliard equation
  • Linear finite elements
  • Obstacle free energy

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