Title
LOCAL CONVERGENCE OF THE FEM FOR THE INTEGRAL FRACTIONAL LAPLACIAN
Abstract
For first-order discretizations of the integral fractional Laplacian, we provide sharp local error estimates on proper subdomains in both the local H-1-norm and the localized energy norm. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.
Year
DOI
Venue
2022
10.1137/20M1343853
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
DocType
Volume
fractional Laplacian, finite element method, local estimates
Journal
60
Issue
ISSN
Citations 
3
0036-1429
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Faustmann Markus100.34
Michael Karkulik2476.50
Jens Markus Melenk313324.18