1 citations · 2 across the 9 of their papers we have counts for
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Oriented point-cloud varifolds for estimating the perimeter and computing its Wasserstein gradient flow
Tokuhiro Eto, Noboru Isobe
This paper develops a mesh-free numerical method for the one-phase Mullins-Sekerka flow, in which the interface bounding a set moves as the Wasserstein gradient flow of its perimet…
Learning the Willmore flow with a lightweight neural operator
Elie Bretin, Roland Denis, Tokuhiro Eto +1
We extend to the Willmore flow the phase-field neural operator approach proposed by Bretin, Denis, Masnou, and Terii (2022) for mean curvature motion in two and three dimensions. T…
A Structure-Preserving Symmetric Galerkin Boundary Element Method for Anisotropic Multi-phase Mullins-Sekerka Flow
Tokuhiro Eto
A structure-preserving symmetric Galerkin boundary element method (SGBEM) is developed for the anisotropic multi-phase Mullins-Sekerka problem in . The bulk harmonic p…
Convergence of a minimizing movement scheme for contact-angle mean curvature flow in a smooth bounded domain
Tokuhiro Eto, Jiwoong Jang
This paper studies a Chambolle-type minimizing movement scheme for mean curvature flow with prescribed contact angle in a smooth bounded domain. The scheme is based on the capillar…
A Structure-Preserving Method of Fundamental Solutions for the Multi-Phase Mullins-Sekerka Flow
Tokuhiro Eto
A charge simulation method, a variant of the method of fundamental solutions, is applied to approximate the multi-phase Mullins--Sekerka flow in and in a half-plane…
A Parametric Finite Element Approach for an Anisotropic Multi-Phase Mullins-Sekerka Problem with Kinetic Undercooling
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
We consider a sharp interface formulation for an anisotropic multi-phase Mullins-Sekerka problem with kinetic undercooling. The flow is characterized by a cluster of surfaces evolv…