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

Published 8 Apr 2022 in math.NA, cs.NA, and math.AP | (2204.04113v1)

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.

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