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.
翻译:本文是关于无形状正则假设下单纯形单元插值误差分析的第二篇讲义(上一篇参见 arXiv:1908.03894)。本手稿阐述了(可能为各向异性的)四面体上拉格朗日插值的误差分析。本文并非研究论文,而是希望未来能并入有限元方法数学理论的教材中。