Local convergence of the FEM for the integral fractional Laplacian

Published 28 May 2020 in math.NA and cs.NA | (2005.14109v2)

Abstract: We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local $H^1$-norm and the localized energy norm. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.

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