Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons
Numerical Analysis
2023-09-04 v3 Numerical Analysis
Abstract
This is the second lecture note on the error analysis of interpolation on simplicial elements without the shape regularity assumption (the previous one is arXiv:1908.03894). In this manuscript, we explain the error analysis of Lagrange interpolation on (possibly anisotropic) tetrahedrons. The manuscript is not intended to be a research paper. We hope that, in the future, it will be merged into a textbook on the mathematical theory of the finite element methods.
Keywords
Cite
@article{arxiv.2103.08101,
title = {Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons},
author = {Kenta Kobayashi and Takuya Tsuchiya},
journal= {arXiv preprint arXiv:2103.08101},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2102.04767