1 citations · 2 across the 9 of their papers we have counts for
13 papers
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…
A hyperbolic finite difference scheme for anisotropic diffusion equations: preserving the discrete maximum principle
Tokuhiro Eto, Rei Kawashima
A hyperbolic system approach is proposed for robust computation of anisotropic diffusion equations that appear in quasineutral plasmas. Though the approach exhibits merits of high…
A parametric finite element method for a degenerate multi-phase Stefan problem with triple junctions
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
In this study, we propose a parametric finite element method for a degenerate multi-phase Stefan problem with triple junctions. This model describes the energy-driven motion of a s…
On existence and uniqueness for transport equations with non-smooth velocity fields under inhomogeneous Dirichlet data
Tokuhiro Eto, Yoshikazu Giga
A transport equation with a non-smooth velocity field is considered under inhomogeneous Dirichlet boundary conditions. The spatial gradient of the velocity field is assumed in $L^{…
A convergence result for a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain
Tokuhiro Eto, Yoshikazu Giga
We consider a minimizing movement scheme of Chambolle type for the mean curvature flow equation with prescribed contact angle condition in a smooth bounded domain in …
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…
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…
A rapid numerical method for the Mullins-Sekerka flow with application to contact angle problems
Tokuhiro Eto
The Mullins-Sekerka problem is numerically solved in with the aid of the charge simulation method. This is an expansion of the numerical scheme by which Sakakibara a…