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

abstract

• We study the regularity of the solution to an obstacle problem for a class of integrodifferential 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.

authors

• Bonito, Andrea

published proceedings

• ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

author list (cited authors)

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

citation count

• 4

complete list of authors

• Bonito, Andrea||Lei, Wenyu||Salgado, Abner J

publication date

• January 2020

publisher

• EDP Sciences  Publisher

published in

• n0764-583XISSN  Journal

keywords

• Dunford-taylor Integral
• Finite Elements
• Free Boundaries
• Integro-differential Operators
• Obstacle Problem

Digital Object Identifier (DOI)

• 10.1051/m2an/2019058

start page

• 229

end page

• 253

volume

• 54

issue

• 1

URL

• http://dx.doi.org/10.1051/m2an/2019058