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1 results on '"Wenyu Lei"'

1. Finite element approximation of an obstacle problem for a class of integro–differential operators

Author

Andrea Bonito, Abner J. Salgado, and Wenyu Lei

Subjects
Numerical Analysis, Class (set theory), Smoothness (probability theory), Applied Mathematics, 010102 general mathematics, 010103 numerical & computational mathematics, Differential operator, 01 natural sciences, Finite element method, Computational Mathematics, Elliptic operator, Modeling and Simulation, Obstacle problem, Order (group theory), Applied mathematics, 0101 mathematics, Analysis, Differential (mathematics), Mathematics
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.

Published
2020

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