Title
Local A Posteriori Estimates on a Nonconvex Polygonal Domain
Abstract
A class of a posteriori estimators is studied for the error in the maximum norm of the gradient on single elements when the finite element method is used to approximate solutions of second order elliptic problems on a nonconvex polygonal domain. The results are extensions of previous results for smooth domains [W. Hoffmann et al., Math. Comp., 70 (2001), pp. 897-909; A. H. Schatz and L. B. Wahlbin, Math. Comp., 73 (2004), pp. 517-523].
Year
DOI
Venue
2012
10.1137/100806072
SIAM J. Numerical Analysis
Keywords
Field
DocType
local a posteriori estimates,approximate solution,nonconvex polygonal domain,finite element method,h. schatz,l. b. wahlbin,maximum norm,single element,previous result,order elliptic problem,posteriori estimator
Polygon,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Finite element method,Mathematics,Estimator
Journal
Volume
Issue
ISSN
50
2
0036-1429
Citations 
PageRank 
References 
1
0.36
6
Authors
2
Name
Order
Citations
PageRank
JaEun Ku1146.30
Alfred H. Schatz211536.18