40 citations · 125 across the 11 of their papers we have counts for
11 papers
Homogenization and Inverse Problems for Fractional Diffusion Equations
Atsushi Kawamoto, Manabu Machida, Masahiro Yamamoto
We consider the homogenization for time-fractional diffusion equations in a periodic structure and we derive the homogenized time-fractional diffusion equation. Then we discuss the…
4D topology optimization: Integrated optimization of the structure and self-actuation of soft bodies for dynamic motions
Changyoung Yuhn, Yuki Sato, Hiroki Kobayashi +2
Topology optimization is a powerful tool utilized in various fields for structural design. However, its application has primarily been restricted to static or passively moving obje…
Free material optimization of thermal conductivity tensors with asymmetric components
Yuki Sato, Teppei Deguchi, Tsuyoshi Nomura +1
Free Material Optimization (FMO), a branch of topology optimization, in which the design variables are the full constitutive tensors, can provide the most general form of the desig…
Cellular Topology Optimization on Differentiable Voronoi Diagrams
Fan Feng, Shiying Xiong, Ziyue Liu +6
Cellular structures manifest their outstanding mechanical properties in many biological systems. One key challenge for designing and optimizing these geometrically complicated stru…
Topology optimization of locomoting soft bodies using material point method
Yuki Sato, Hiroki Kobayashi, Changyoung Yuhn +3
Topology optimization methods have widely been used in various industries, owing to their potential for providing promising design candidates for mechanical devices. However, their…
Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates
X. Huang, A. Kawamoto
We consider a half-order time-fractional diffusion equation in an arbitrary dimension and investigate inverse problems of determining the source term or the diffusion coefficient f…
Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation
Atsushi Kawamoto, Manabu Machida
We consider inverse problems for the first and half order time fractional equation. We establish the stability estimates of Lipschitz type in inverse source and inverse coefficient…
An inverse problem and a time-like Carleman estimate for parabolic integro-differential equations
Atsushi Kawamoto
In this article, We investigate an inverse problem of determining the time-dependent source factor in parabolic integro-differential equations from boundary data. We establish the…
Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation
Atsushi Kawamoto
We consider the first and half order time fractional equation with the zero initial condition. We investigate an inverse source problem of determining the time-independent source f…
Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates
Atsushi Kawamoto, Manabu Machida
We consider a fractional radiative transport equation, where the time derivative is of half order in the Caputo sense. By establishing Carleman estimates, we prove the global Lipsc…
Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models
Christian Marschler, Jan Sieber, Rainer Berkemer +2
We introduce a general formulation for an implicit equation-free method in the setting of slow-fast systems. First, we give a rigorous convergence result for equation-free analysis…