188 citations · 1.6k across the 107 of their papers we have counts for
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math.NA2012★ 26 cited
Stable Phase Field Approximations of Anisotropic Solidification
John W. Barrett, Harald Garcke, Robert Nürnberg
We introduce unconditionally stable finite element approximations for a phase field model for solidification, which take highly anisotropic surface energy and kinetic effects into…
math.NA2012★ 21 cited
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth
John W. Barrett, Harald Garcke, Robert Nürnberg
We introduce unconditionally stable finite element approximations for anisotropic Allen--Cahn and Cahn--Hilliard equations. These equations frequently feature in phase field models…