Title
Analysis of a class of nonconforming finite elements for crystalline microstructures
Abstract
An analysis is given for a class of nonconforming Lagrange-type nite elements which have been successfully utilized to approximate the solu- tion of a variational problem modeling the deformation of martensitic crystals with microstructure. These elements were rst proposed and analyzed in 1992 by Rannacher and Turek for the Stokes equation. Our analysis highlights the features of these elements which make them eective for the computation of microstructure. New results for superconvergence and numerical quadrature are also given.
Year
DOI
Venue
1996
10.1090/S0025-5718-96-00735-1
Math. Comput.
Keywords
Field
DocType
finite element,superconvergence,error estimate,. nonconforming nite element,nu- merical quadrature.,crystalline microstructures,microstructures,stokes equation,numerical quadrature
Mathematical analysis,Numerical integration,Calculus of variations,Superconvergence,Finite element method,Quadrature (mathematics),Numerical analysis,Stokes flow,Mathematics,Computation
Journal
Volume
Issue
ISSN
65
215
0025-5718
Citations 
PageRank 
References 
8
2.07
0
Authors
3
Name
Order
Citations
PageRank
Peter Klouček182.07
Bo Li2586.49
Mitchell Luskin312423.89