4 papers
A stabilized dual-SAV parametric finite element framework for constrained planar geometric flows with mesh regularization
Koya Sakakibara
Parametric finite element discretizations of constrained geometric flows must simultaneously address high-order geometric stiffness, mesh degeneration, and nonlinear global constra…
Segmentation of monotone data by Kobayashi-Warren-Carter type total variation energies
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +1
We consider a Kobayashi-Warren-Carter (KWC) type total variation energy with a fidelity term. Since the energy is non-convex, the profiles of minimizers are quite different from th…
Error estimate for regularized optimal transport problems via Bregman divergence
Keiichi Morikuni, Koya Sakakibara, Asuka Takatsu
Regularization by the Shannon entropy enables us to efficiently and approximately solve optimal transport problems on a finite set. This paper is concerned with regularized optimal…
Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis
Koya Sakakibara
In this paper, we examine the dipole-type method of fundamental solutions, which can be conceptualized as a discretization of the "singularity-removed" double-layer potential. We p…