ANALYSIS OF A CLASS OF NONCONFORMING FINITE-ELEMENTS FOR CRYSTALLINE MICROSTRUCTURES

Authors
KLOUCEK P LI B LUSKIN M
Citation
P. Kloucek et al., ANALYSIS OF A CLASS OF NONCONFORMING FINITE-ELEMENTS FOR CRYSTALLINE MICROSTRUCTURES, Mathematics of computation, 65(215), 1996, pp. 1111-1135
Citations number
25
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
65
Issue
215
Year of publication
1996
Pages
1111 - 1135
Database
ISI
SICI code
0025-5718(1996)65:215<1111:AOACON>2.0.ZU;2-H
Abstract
An analysis is given for a class of nonconforming Lagrange-type finite elements which have been successfully utilized to approximate the sol ution of a variational problem modeling the deformation of martensitic crystals with microstructure. These elements were first proposed and analyzed in 1992 by Rannacher and Turek for the Stokes equation. Our a nalysis highlights the features of these elements which make them effe ctive for the computation of microstructure. New results for superconv ergence and numerical quadrature are also given.