188 citations · 1.6k across the 107 of their papers we have counts for
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physics.comp-ph2012★ 12 cited
Phase Field Models versus Parametric Front Tracking Methods: Are they accurate and computationally efficient?
John W. Barrett, Harald Garcke, Robert Nürnberg
We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interface models of solidification. Particular emphasis is put on St…
physics.comp-ph2012★ 9 cited
Finite-Element Approximation of One-Sided Stefan Problems with Anisotropic, Approximately Crystalline, Gibbs--Thomson Law
John W. Barrett, Harald Garcke, Robert Nürnberg
We present a finite-element approximation for the one-sided Stefan problem and the one-sided Mullins--Sekerka problem, respectively. The problems feature a fully anisotropic Gibbs-…