论文标题
brezzi-douglas-马里尼在各向异性简单和棱镜上的插值
Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms
论文作者
论文摘要
在最近的两个出版物中已经分析了各向异性元素上的Brezzi-Douglas--Marini插值错误，这是第一个关注$ l^2 $的简单上的重点，而另一种则考虑了平行台词，其估计为$ l^p $ norms。该贡献为$ l^p $案例的各向异性简形提供了广义估计，$ 1 \ leq p \ leq \ infty $，并显示了具有三角形基础的各向异性棱镜的新估计。
The Brezzi--Douglas--Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in $L^2$, the other considering parallelotopes with estimates in terms of $L^p$-norms. This contribution provides generalized estimates for anisotropic simplices for the $L^p$ case, $1\leq p\leq\infty$, and shows new estimates for anisotropic prisms with triangular base.
