Finite element approximation of an obstacle problem for a class of integro-differential operators
Numerical Analysis
2018-08-07 v1
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.
Cite
@article{arxiv.1808.01576,
title = {Finite element approximation of an obstacle problem for a class of integro-differential operators},
author = {Andrea Bonito and Wenyu Lei and Abner J. Salgado},
journal= {arXiv preprint arXiv:1808.01576},
year = {2018}
}