标题：非形状正则三角剖分上插值误差分析讲义，第2部分：四面体上的Lagrange插值摘要：这是关于非形状正则三角剖分上插值误差分析的第二篇讲义。本文讲解可能有各向异性的四面体上Lagrange插值的误差分析。此主题在标准的有限元方法数学理论教科书中很少有涉及。作者希望将本文合并到新教材中。因此，本文不是一篇研究论文。预期的读者是熟悉有限元方法数学理论的学生和研究人员。 (Lectures on the error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons)

2023 年 4 月 18 日

Lectures on the error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons

翻译：标题：非形状正则三角剖分上插值误差分析讲义，第2部分：四面体上的Lagrange插值摘要：这是关于非形状正则三角剖分上插值误差分析的第二篇讲义。本文讲解可能有各向异性的四面体上Lagrange插值的误差分析。此主题在标准的有限元方法数学理论教科书中很少有涉及。作者希望将本文合并到新教材中。因此，本文不是一篇研究论文。预期的读者是熟悉有限元方法数学理论的学生和研究人员。

Kenta Kobayashi,Takuya Tsuchiya

from arxiv, arXiv admin note: text overlap with arXiv:2102.04767

This is the second lecture note on the error analysis of interpolation on simplicial elements without the shape regularity assumption. In this manuscript, we explain the error analysis of Lagrange interpolation on (possibly anisotropic) tetrahedrons. This topic is hardly explained in standard textbooks of the mathematical theory of finite element methods. The authors hope that this manuscript will be merged into a new textbook in future. Therefore, this manuscript is not intended to be a research paper. Supposed readers are students and researchers who are familiar with the mathematical theory of the finite element methods.

翻译：