Title
A posteriori analysis of penalized and mixed formulations of Koiter’s shell model
Abstract
We are interested in finite element approximations of a Koiter model for linearly elastic shells with little regularity. To perform conforming method, we present a penalized and a mixed formulations of the model allowing to approximate and to enforce weakly mechanical constraints, respectively. We establish existence and uniqueness of the solution to the both formulations. Moreover, a posteriori analysis is led yielding an upper bound and a lower bound of the error. Finally, numerical results are presented to illustrate the efficiency of the a posteriori estimators. We therefore, propose a mesh adaptivity strategy relying on these indicators.
Year
DOI
Venue
2016
10.1016/j.cam.2015.07.007
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
Koiter model,Finite element,A posteriori analysis
Uniqueness,Mathematical optimization,Mathematical analysis,Upper and lower bounds,A priori and a posteriori,Finite element approximations,Finite element method,SHELL model,Mathematics,Estimator
Journal
Volume
Issue
ISSN
296
C
0377-0427
Citations 
PageRank 
References 
1
0.48
2
Authors
3
Name
Order
Citations
PageRank
Adel Blouza172.87
Linda El Alaoui271.55
Saloua Mani Aouadi372.49