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:这是关于对简化元素进行内插的错误分析的第二个演讲说明,没有形状规律性假设(前一个假设是ArXiv:1908.083894)。在本手稿中,我们解释了对(可能具有异向性)四面形的Lagrange内插分析的错误分析。手稿并不打算成为一份研究论文。我们希望,在未来,它将合并为关于限定元素方法数学理论的教科书。