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math.NA2026
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…
math.NA2024
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…