Summary: Mathematical Models and Methods in Applied Sciences
Vol. 13, No. 3 (2003) 295­307
c World Scientific Publishing Company
NONCONFORMING MIXED ELEMENTS FOR ELASTICITY
DOUGLAS N. ARNOLD
Institute for Mathematics and its Applications, University of Minnesota,
Minneapolis, MN 55455, USA
arnold@ima.umn.edu
RAGNAR WINTHER
Department of Informatics and Department of Mathematics, University of Oslo,
P. O. Box 1080, Blindern, 0316 Oslo, Norway
rwinther@ifi.uio.no
Received 19 April 2002
Communicated by F. Brezzi
We construct first-order, stable, nonconforming mixed finite elements for plane elasticity
and analyze their convergence. The mixed method is based on the Hellinger­Reissner
variational formulation in which the stress and displacement fields are the primary un-
knowns. The stress elements use polynomial shape functions but do not involve vertex
degrees of freedom.
Keywords: Mixed method; nonconforming finite element; elasticity.

Source: Arnold, Douglas N. - School of Mathematics, University of Minnesota

Collections: Mathematics