25 citations · 79 across the 19 of their papers we have counts for
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math.AP2008★ 6 cited
Shape derivative of potential energy and energy release rate in fracture mechanics
Masato Kimura, Isao Wakano
We study general mathematical framework for variation of potential energy with respect to domain deformation. It enables rigorous derivation of the integral formulas for the energy…
math.AP2008
Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type
Shuichi Jimbo, Masato Kimura, Hirofumi Notsu
We study an asymptotic behaviour of the principal eigenvalue for an elliptic operator with large advection which is given by a gradient of a potential function. It is shown that th…
math.NA2008★ 1 cited
Analytical and numerical aspects on motion of polygonal curves with constant area speed
Michal Benes, Masato Kimura, Shigetoshi Yazaki
General area-preserving motion of polygonal curves is formulated as a system of ODEs. Solution polygonal curves belong to a prescribed polygonal class, which is similar to the admi…