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math.NA2025
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…
math.NA2025★ 1 cited
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…
math.AP2025
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^{…