Finite element approximation of an obstacle problem for a class of integro-differential operators

Published 5 Aug 2018 in math.NA | (1808.01576v1)

Abstract: We study the regularity of the solution to an obstacle problem for a class of integro-differential operators. The differential part is a second order elliptic operator, whereas the nonlocal part is given by the integral fractional Laplacian. The obtained smoothness is then used to design and analyze a finite element scheme.

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