【摘 要】
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A mixed formulation is proposed for the Stefan problem with surface tension(Gibbs-Thomson law).The method uses a mixed form of the heat equation in the soli
【机 构】
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Louisiana State Univ.
论文部分内容阅读
A mixed formulation is proposed for the Stefan problem with surface tension(Gibbs-Thomson law).The method uses a mixed form of the heat equation in the solid and liquid domains,and imposes the interface motion law(on the solid-liquid interface)as a constraint.Well-posedness of the time semi-discrete and fully discrete(finite element)formulations is proved in 3-D,and an a priori bound,conservation law,and error estimates.Simulations are presented in 2-D.
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