9 citations · 34 across the 19 of their papers we have counts for
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math.NA2016
Energy dissipative numerical scheme for gradient flows of planar curves using discrete partial derivatives and B-spline curves
Tomoya Kemmochi
In this paper, we develop an energy dissipative numerical scheme for gradient flows of planar curves, such as the curvature flow and the elastic flow. Our study presents a general…
math.NA2016★ 1 cited
Numerical analysis of elastica with obstacle and adhesion effects
T. Kemmochi
We consider the numerical computation of a variational problem that arises from materials science. The target functional is a type of elastic energy that is influenced by obstacles…
math.NA2016★ 3 cited
Discrete maximal regularity and the finite element method for parabolic equations
Tomoya Kemmochi, Norikazu Saito
Maximal regularity is a fundamental concept in the theory of partial differential equations. In this paper, we establish a fully discrete version of maximal regularity for a parabo…