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math.NA2023★ 1 cited
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
We consider a sharp interface formulation for the multi-phase Mullins-Sekerka flow. The flow is characterized by a network of curves evolving such that the total surface energy of…
math.NA2023
On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation
Tokuhiro Eto, Yoshikazu Giga
We introduce a capillary Chambolle type scheme for mean curvature flow with prescribed contact angle. Our scheme includes a capillary functional instead of just the total variation…