Robust Error Estimates for Adaptive Phase Field Simulations |
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| Authors: | Sören Bartels Rüdiger Müller |
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| Institution: | 1. Institut für Numerische Simulation, Wegelerstr. 6, 53115 Bonn, Germany;2. Institut für Mathematik, Humboldt–Universität zu Berlin, Rudower Chaussee 25 12489 Berlin, Germany |
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| Abstract: | Phase field equations are commonly used as a regularized model, where bulk phases are separated by interface regions that have a thickness of the order γ. Their numerical analysis is well established for a fixed parameter size γ, but conventional error estimates depend exponentially on γ−1 and thus become useless in the relevant case if γ→0. Technical applications include e.g. the simulation of Sn–Cu alloys for the production of lead free solder or Ni–Al alloys used for rotor blade surfaces. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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