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 language | English |
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Pages (from-to) | 1003-1026 |
Number of pages | 24 |
Journal | Mathematical Modelling and Numerical Analysis |
Volume | 43 |
Issue number | 5 |
DOIs | |
Publication status | Published - Sept 2009 |
Keywords
- A posteriori estimates
- Adaptive numerical methods
- Cahn-Hilliard equation
- Linear finite elements
- Obstacle free energy