Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D

Abstract

We prove weighted analytic regularity for the solution of the integral fractional Poisson problem on bounded intervals with analytic right-hand side. Based on this regularity result, we prove exponential convergence of the hp-FEM on geometric boundary-refined meshes.

References in corpus (2)

• Numerical methods for nonlocal and fractional models
• Weighted analytic regularity for the integral fractional Laplacian in polygons

Cited by in corpus (1)

• Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons