Year: 2025
Type: preprint
Abstract: 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 interpolation errors, particularly those associated with the finite element method. We prove boundedness via a numerical verification method and asymptotic analysis. The proof process used here can be applied to various other norm inequalities.
Source: arXiv (Cornell University)
Author: Kobayashi, Kenta
Institution: Hitotsubashi University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415345624
Cites:
Cited by:
Related to: