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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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