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

04/08/2022

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by   Markus Faustmann, et al.

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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.