2 papers
math.NA2026
Remarkable upper bounds for interpolation error constants on triangles
Kenta Kobayashi
We introduce remarkable upper bounds, which are sharp and given by simple formulas, for the interpolation error constants on triangles. These constants are crucial for analyzing in…
math.NA2024
Error estimation for finite element method on meshes that contain thin elements
Kenta Kobayashi, Takuya Tsuchiya
In an error estimation of finite element solutions to the Poisson equation, we usually impose the shape regularity assumption on the meshes to be used. In this paper, we show that…