15 citations · 42 across the 26 of their papers we have counts for
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math.AP2016
Convergence of the Allen-Cahn Equation to multi-phase mean-curvature flow
Tim Laux, Thilo Simon
We present a convergence result for solutions of the vector-valued Allen-Cahn Equation. In the spirit of the work of Luckhaus and Sturzenhecker we establish convergence towards a d…
math.AP2016
Convergence of the thresholding scheme for multi-phase mean-curvature flow
Tim Laux, Felix Otto
We consider the thresholding scheme, a time discretization for mean curvature flow introduced by Merriman, Bence and Osher. We prove a convergence result in the multi-phase case. T…
math.AP2016
Convergence of thresholding schemes incorporating bulk effects
Tim Laux, Drew Swartz
In this paper we establish the convergence of three computational algorithms for interface motion in a multi-phase system, which incorporate bulk effects. The algorithms considered…