Adaptive Finite Element Simulation of Relaxed Models for Liquid-Solid Phase Transition

M. Stiemer ()
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M. Stiemer: Technische Universität Dortmund, Faculty of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 65-72 from Springer

Abstract: Abstract The purpose of this work is to develop time-space adaptive techniques for phase field models for liquid-solid phase transition. These models are based on coupled systems of the Cahn-Hilliard and the Allen-Cahn equation. The adaptive techniques under consideration allow for mesh adaptation with respect to a functional of interest. They are based on a discontinuous Galerkin approach for time stepping and the exploitation of a parabolic duality argument. For the Bi-Laplace operator arising in linearization of the Cahn-Hilliard equation, a non-conforming Galerkin method is employed.

Keywords: Posteriori Error; Sharp Interface; Phase Field Model; Mesh Adaptation; Adaptive Finite Element (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_7

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DOI: 10.1007/978-3-540-69777-0_7

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