Finite element approximation of an obstacle problem for a class of integro–differential operators
Andrea Bonito, Wenyu Lei, Abner J. Salgado · ESAIM Mathematical Modelling and Numerical Analysis · 2019
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.