Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Sakakibara, Koya"'
We consider a total variation type energy which measures the jump discontinuities different from usual total variation energy. Such a type of energy is obtained as a singular limit of the Kobayashi-Warren-Carter energy with minimization with respect
Externí odkaz:
http://arxiv.org/abs/2408.04228
Autor:
Sakakibara, Koya
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 present a method for removing the ill-conditionality, which was previou
Externí odkaz:
http://arxiv.org/abs/2408.00212
We propose a threshold-type algorithm to the $L^2$-gradient flow of the Canham-Helfrich functional generalized to $\mathbb{R}^N$. The algorithm to the Willmore flow is derived as a special case in $\mathbb{R}^2$ or $\mathbb{R}^3$. This algorithm is c
Externí odkaz:
http://arxiv.org/abs/2311.13155
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 transport problems via Bregman divergence. We introduce the required
Externí odkaz:
http://arxiv.org/abs/2309.11666
Autor:
Giga, Yoshikazu, Kubo, Ayato, Kuroda, Hirotoshi, Okamoto, Jun, Sakakibara, Koya, Uesaka, Masaaki
This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling, the limit system is formally derived when the interface thickness pa
Externí odkaz:
http://arxiv.org/abs/2306.15235
Autor:
Sakakibara, Koya, Shimizu, Yuuki
Towards identifying the number of minimal surfaces sharing the same boundary from the geometry of the boundary, we propose a numerical scheme with high speed and high accuracy. Our numerical scheme is based on the method of fundamental solutions. We
Externí odkaz:
http://arxiv.org/abs/2212.06508
In this paper, we consider numerical approximation of constrained gradient flows of planar closed curves, including the Willmore and the Helfrich flows. These equations have energy dissipation and the latter has conservation properties due to the con
Externí odkaz:
http://arxiv.org/abs/2208.00675
By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi-Warren-Carter energy is given in a multi-dimensional domain. A key step is to study the Gamma limit of a single-well Modica-Mortola functional. The convergenc
Externí odkaz:
http://arxiv.org/abs/2205.14314
Hele-Shaw flows with time-dependent gaps create fingering patterns, and magnetic fluids in Hele-Shaw cells create intriguing patterns.We propose a simple numerical method for Hele-Shaw type problems by the method of fundamental solutions.The method o
Externí odkaz:
http://arxiv.org/abs/2105.14811