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Session I.1 - Multiresolution and Adaptivity in Numerical PDEs

Monday, June 12, 17:00 ~ 17:30

Adaptive Mesh Refinement for arbitrary initial Triangulations

Johannes Storn

Bielefeld University, Germany   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

This talk introduces a simple initialization of the Maubach/Traxler bisection routine for adaptive mesh refinements. This initialization applies to any conforming initial triangulation. It preserves shape-regularity, satisfies the closure estimate needed for optimal convergence of adaptive schemes, and allows for the intrinsic use of existing implementations.

Joint work with Lars Diening (Bielefeld University, Germany) and Lukas Gehring (Friedrich-Schiller-Universität Jena, Germany).

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