Two-level error estimation for the integral fractional Laplacian
Numerical Analysis
2022-09-28 v1 Numerical Analysis
Abstract
For the singular integral definition of the fractional Laplacian, we consider an adaptive finite element method steered by two-level error indicators. For this algorithm, we show linear convergence in two and three space dimensions as well as convergence of the algorithm with optimal algebraic rates in 2D, when newest vertex bisection is employed for mesh refinement.
Cite
@article{arxiv.2209.13366,
title = {Two-level error estimation for the integral fractional Laplacian},
author = {Markus Faustmann and Ernst Peter Stephan and David Wörgötter},
journal= {arXiv preprint arXiv:2209.13366},
year = {2022}
}