Title
A posteriori error estimates for nonconforming finite element methods
Abstract
Summary.   Computable a posteriori error bounds for a large class of nonconforming finite element methods are provided for a model Poisson-problem in two and three space dimensions. Besides a refined residual-based a posteriori error estimate, an averaging estimator is established and an -estimate is included. The a posteriori error estimates are reliable and efficient; the proof of reliability relies on a Helmholtz decomposition.
Year
DOI
Venue
2002
10.1007/s002110100378
Numerische Mathematik
Field
DocType
Volume
Existence theorem,Boundary value problem,Mathematical optimization,Mathematical analysis,Galerkin method,A priori and a posteriori,Orthogonality,Finite element method,Helmholtz decomposition,Mathematics,Estimator
Journal
92
Issue
ISSN
Citations 
2
0029-599X
36
PageRank 
References 
Authors
4.49
1
3
Name
Order
Citations
PageRank
C Carstensen1944163.02
Sören Bartels235556.90
Stefan Jansche3364.49