Lectures on the Error Analysis of Interpolation on Simplicial Triangulations without the Shape-Regularity Assumption Part 2: Lagrange Interpolation on Tetrahedrons

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.