Search Results - "Sakakibara, Koya"

A fully discrete curve-shortening polygonal evolution law for moving boundary problems by Sakakibara, Koya, Miyatake, Yuto

“…We consider the numerical integration of moving boundary problems with the curve-shortening property, such as the mean curvature flow and Hele-Shaw flow. We…”
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Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions by Sakakibara, Koya

“…The aim of this paper is to develop mathematical theory of the conventional and invariant schemes for the method of fundamental solutions used to solve…”
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A simple numerical method for Hele–Shaw type problems by the method of fundamental solutions by Sakakibara, Koya, Shimoji, Yusaku, Yazaki, Shigetoshi

“…Hele-Shaw flows with time-dependent gaps create fingering patterns, and magnetic fluids in Hele–Shaw cells create intriguing patterns. We propose a simple…”
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A new numerical scheme for discrete constrained total variation flows and its convergence by Giga, Yoshikazu, Sakakibara, Koya, Taguchi, Kazutoshi, Uesaka, Masaaki

“…In this paper, we propose a new numerical scheme for a spatially discrete model of total variation flows whose values are constrained to a Riemannian manifold…”
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On the reaction–diffusion type modelling of the self-propelled object motion by Nagayama, Masaharu, Monobe, Harunori, Sakakibara, Koya, Nakamura, Ken-Ichi, Kobayashi, Yasuaki, Kitahata, Hiroyuki

“…In this study, we propose a mathematical model of self-propelled objects based on the Allen–Cahn type phase-field equation. We combine it with the equation for…”
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On invariance of schemes in the method of fundamental solutions by Sakakibara, Koya, Yazaki, Shigetoshi

“…Method of fundamental solutions (MFS) is a meshfree numerical solver for linear homogeneous partial differential equations, and it has been applied to several…”
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Bidirectional numerical conformal mapping based on the dipole simulation method by Sakakibara, Koya

“…Many authors have studied the numerical computation of conformal mappings (numerical conformal mapping), and there are nowadays several efficient numerical…”
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Numerical Analysis of the Plateau Problem by the Method of Fundamental Solutions by Sakakibara, Koya, Shimizu, Yuuki

“…Toward identifying the number of minimal surfaces sharing the same boundary from the geometry of the boundary, we propose a numerical scheme with high speed…”
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Analysis of the dipole simulation method for two-dimensional Dirichlet problems in Jordan regions with analytic boundaries by Sakakibara, Koya

“…This paper presents a stability and error estimate of the dipole simulation method applied to Dirichlet problems in Jordan regions. Specifically, it is proved…”
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Method of fundamental solutions for biharmonic equation based on Almansi-type decomposition by Sakakibara, Koya

“…The aim of this paper is to analyze mathematically the method of fundamental solutions applied to the biharmonic problem. The key idea is to use Almansi-type…”
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Structurally modified graphitic carbon nitride with highly photocatalytic activity in the presence of visible light by Katsumata, Hideyuki, Sakakibara, Koya, Tateishi, Ikki, Furukawa, Mai, Kaneco, Satoshi

“…[Display omitted] •Synthesis of g-C3N4 with N-defects and asymmetric structure (KOH-OA-CN) is proved.•KOH-OA-CN has a significantly higher photocatalytic…”
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A thresholding algorithm for Willmore-type flows via fourth-order linear parabolic equation by Ishii, Katsuyuki, Kohsaka, Yoshihito, Miyake, Nobuhito, Sakakibara, Koya

“…We propose a thresholding algorithm for Willmore-type flows in \mathbb{R}^{N} . This algorithm is constructed based on the asymptotic expansion of the solution…”
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Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis by 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"…”
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Numerical analysis for the Plateau problem by the method of fundamental solutions by 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…”
Get full text

Bidirectional numerical conformal mapping based on the dipole simulation method by Sakakibara, Koya

“…Many authors have studied the numerical computation of conformal mappings (numerical conformal mapping), and there are nowadays several efficient numerical…”
Get full text

Error estimate for regularized optimal transport problems via Bregman divergence by Morikuni, Keiichi, Sakakibara, Koya, Takatsu, Asuka

“…Regularization by the Shannon entropy enables us to efficiently and approximately solve optimal transport problems on a finite set. This paper is concerned…”
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A fully discrete curve-shortening polygonal evolution law for moving boundary problems by Sakakibara, Koya, Miyatake, Yuto

“…We consider the numerical integration of moving boundary problems with the curve-shortening property, such as the mean curvature flow and Hele-Shaw flow. We…”
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Piecewise constant profiles minimizing total variation energies of Kobayashi-Warren-Carter type with fidelity by Giga, Yoshikazu, Kubo, Ayato, Kuroda, Hirotoshi, Okamoto, Jun, 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…”
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Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities by Kemmochi, Tomoya, Miyatake, Yuto, Sakakibara, Koya

“…In this paper, we consider numerical approximation of constrained gradient flows of planar closed curves, including the Willmore and the Helfrich flows. These…”
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A threshold-type algorithm to the gradient flow of the Canham-Helfrich functional by Ishii, Katsuyuki, Kohsaka, Yoshihito, Miyake, Nobuhito, Sakakibara, Koya

“…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…”
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