Zobrazeno 1 - 10
of 369
pro vyhledávání: '"Kimura, Masato"'
The purpose of this study is twofold. First, we revisit a shape optimization reformulation of a prototypical shape inverse problem and briefly propose a simple yet efficient numerical approach for solving the minimization problem. Second, we examine
Externí odkaz:
http://arxiv.org/abs/2407.03083
We provide a new method for constructing the anisotropic relaxation tensor and proving its exponential decay property for the extended Burgers model (abbreviated by EBM). The EBM is an important viscoelasticity model in rheology, and used in Earth an
Externí odkaz:
http://arxiv.org/abs/2406.18978
We study a variational problem on $H^1({\mathbb R})$ under an $L^\infty$-constraint related to Sobolev-type inequalities for a class of generalized potentials, including $L^p$-potentials, non-positive potentials, and signed Radon measures. We establi
Externí odkaz:
http://arxiv.org/abs/2405.00730
We investigate a physical characterization of the gradient flow structure of variational fracture models for brittle materials: a Griffith-type fracture model and an irreversible fracture phase field model. We derive the Griffith-type fracture model
Externí odkaz:
http://arxiv.org/abs/2311.00730
We present a new method to determine the best constant of the Sobolev-type embedding in one dimension with a norm including a bounded inhomogeneous potential term. This problem is closely connected to the Green function of the Schr\"odinger operator
Externí odkaz:
http://arxiv.org/abs/2311.00708
In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and its extended version. This paper concerns resolvent estimates for the
Externí odkaz:
http://arxiv.org/abs/2308.16322
Autor:
Rasid, Md Mamunur, Kimura, Masato, Murshed, Md Masum, Wijayanti, Erny Rahayu, Notsu, Hirofumi
Publikováno v:
Mathematics, 11(7), 1633, 2023
This study presents a two-step Lagrange-Galerkin scheme for the shallow water equations with a transmission boundary condition (TBC). Firstly, the experimental order of convergence of the scheme is shown to see the second-order accuracy in time. Seco
Externí odkaz:
http://arxiv.org/abs/2207.00752
Publikováno v:
In Applied Mathematics Letters July 2024 153
Publikováno v:
In Mathematics and Computers in Simulation July 2024 221:589-605
Autor:
Aoyama, Kazutaka, Kimura, Masato, Morohoshi, Hiroyuki, Takeda, Tomomasa, Tanaka, Masashi, Yorita, Kohei
Publikováno v:
Nuclear Inst. and Methods in Physics Research, A (2021) 166107
A double-phase Ar detector can efficiently identify particles and reconstruct their positions. However, the properties of electroluminescence (EL) for secondary light emission in the gas phase are not fully understood. Earlier studies have explained
Externí odkaz:
http://arxiv.org/abs/2107.02330