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math.NA2025
Mathematical and numerical study of symmetry and positivity of the tensor-valued spring constant defined from P1-FEM for two- and three-dimensional linear elasticity
Oussama Ounissi, Masato Kimura, Hirofumi Notsu
In this study, we consider a spring-block system that approximates a -dimensional linear elastic body, where or . We derive a matrix as the spring constan…
math.NA2008
Second order numerical scheme for motion of polygonal curves with constant area speed
M. Benes, M. Kimura, S. Yazaki
We study polygonal analogues of several moving boundary problems and their time discretization which preserves the constant area speed property. We establish various polygonal anal…