Abstract
In phase field models, different components of the solution (temperature and phase variable) exhibit a strongly different local behaviour. Especially in 3D, the high resolution needed for the phase variable in the transition region calls for specially adapted methods for discretization in order to make computations with as good a resolution as possible. An optimal discretization should use a separate mesh for each component. We present a general framework for the adaptive solution of coupled systems and its application to phase field simulations, making 3D simulations possible even on desktop computers.
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Schmidt, A. (2003). A Multi-mesh Finite Element Method for 3D Phase Field Simulations. In: Colli, P., Verdi, C., Visintin, A. (eds) Free Boundary Problems. ISNM International Series of Numerical Mathematics, vol 147. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7893-7_23
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DOI: https://doi.org/10.1007/978-3-0348-7893-7_23
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9613-9
Online ISBN: 978-3-0348-7893-7
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