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arXiv · 2610.39719

Optimal AFEM convergence for any bulk parameter smaller than one

Lars Diening·Johannes Storn
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Abstract

We prove rate-optimal convergence of the standard adaptive finite element method with conforming Lagrange elements for the Poisson problem for Dörfler marking with any bulk parameter $θ\in (0,1)$. This removes the smallness restriction on the bulk parameter that has persisted in the classical theory of optimal adaptive finite element methods.

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Lars Diening, Johannes Storn. 2026-10-29. Optimal AFEM convergence for any bulk parameter smaller than one. https://arxiv.org/abs/2610.39719

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