From the 1 of 6 linked papers with an AI index.
6 papers
A Structure-Preserving Method of Fundamental Solutions for the Multi-Phase Mullins-Sekerka Flow
Tokuhiro Eto
The paper introduces a mesh‑free numerical solver for multi‑phase Mullins‑Sekerka flow in two dimensions and in a half‑plane, using a charge simulation method to handle curvature‑d…
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 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 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…
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…
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^{…