Title
Approximation classes for adaptive higher order finite element approximation.
Abstract
We provide an almost characterization of the approximation classes appearing when using adaptive finite elements of Lagrange type of any fixed polynomial degree. The characterization is stated in terms of Besov regularity, and requires the approximation within spaces with integrability indices below one. This article generalizes to higher order finite elements the results presented for linear finite elements by Binev et. al.
Year
DOI
Venue
2014
10.1090/S0025-5718-2013-02777-9
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Adaptive finite elements,Besov spaces,convergence rates,approximation classes
Linear approximation,Mathematical optimization,Mathematical analysis,Degree of a polynomial,Finite element method,Mathematics
Journal
Volume
Issue
ISSN
83
289
0025-5718
Citations 
PageRank 
References 
4
0.83
9
Authors
2
Name
Order
Citations
PageRank
Fernando D. Gaspoz141.51
Pedro Morin233147.99