Monday, August 22, 2022 - 16:15 in V2-210/216
Grading of Triangulations Generated by Bisection
A talk in the BI.discrete Workshop series by
Johannes Storn from Bielefeld
| Abstract: |
We consider triangulations generated by the bisection algorithm of Maubach and Traxler in any dimension. We prove the existence of a regularized mesh function with grading two. This generalizes and sharpens previous results in two dimensions to arbitrary dimensions and yields the $H^1$-stability of the $L^2$-projection for dimensions smaller than seven. The proof uses a novel generation based formulation of the bisection algorithm. Within the CRC this talk is associated to the project(s): B7 |
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