Friday, November 17, 2023 - 09:00 in V2-210/216
Mesh grading of triangulations generated by adaptive bisection
A talk in the BI.discrete Workshop series by
Tabea Tscherpel from Darmstadt
| Abstract: |
Adaptive mesh refinement algorithms such as the 2D newest vertex bisection and its generalisations to
higher dimensions by Maubach and Traxler are an essential part of adaptive finite element methods.
We present optimal results on the grading of such adaptively generated meshes in arbitrary dimensions.
This sharpens available results for 2D mesh refinement schemes, and it is the first contribution in higher dimensions.
Furthermore, we discuss the implications on Sobolev stability of the $L^2$-projection mapping to continuous Lagrange finite element spaces. Especially for the numerical analysis of parabolic problems this is an important tool.
This is joint work with Lars Diening (Bielefeld University) and Johannes Storn (Bielefeld University, University of Leipzig).
Within the CRC this talk is associated to the project(s): A7, B3, B7 |
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