Optimal AFEM convergence for any bulk parameter smaller than one
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.
Authors
- Lars Diening (ORCID: https://orcid.org/0000-0002-0523-3079)
- Johannes Storn (ORCID: https://orcid.org/0000-0003-1520-6557)
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-10-29
- DOI
- https://doi.org/10.48550/arxiv.2610.39719
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- preprint