Finite element approximation of an obstacle problem for a class of integro–differential operators Academic Article uri icon

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.

author list (cited authors)

  • Bonito, A., Lei, W., & Salgado, A. J.

citation count

  • 1

publication date

  • January 2020