Adaptive finite element methods for Cahn-Hilliard equations
By L. Baňas, Robert Nürnberg. 2008
51 citations recorded by the source corpus.
We develop a method for adaptive mesh refinement for steady state problems that arise in the numerical solution of Cahn-Hilliard equations with an obstacle free energy. The problem is discretized in time by the backward-Euler method and in space by linear finite elements. The adaptive mesh refinement is performed using residual based a posteriori estimates; the time step is adapted using a heuristic criterion. We describe the space-time adaptive algorithm and present numerical experiments in two and three space dimensions that demonstrate the usefulness of our approach.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/36b24b7c3bb8c88d30dcb2a9c9b1b2c8e6b85370
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In Computational Mechanics
In Computational Theory and Mathematics
In Materials Chemistry
Citations in the corpus
- Optimal Control for the Convective Cahn–Hilliard Equation in 2D Case (2014, methodology): “For the study of numerical solutions of Cahn–Hilliard equation, we refer the reader to [27,28].”