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August 9, 2005 9:31 WSPC/103-M3AS 00074 Mathematical Models and Methods in Applied Sciences
 

Summary: August 9, 2005 9:31 WSPC/103-M3AS 00074
Mathematical Models and Methods in Applied Sciences
Vol. 15, No. 9 (2005) 14171429
c World Scientific Publishing Company
RECTANGULAR MIXED FINITE ELEMENTS
FOR ELASTICITY
DOUGLAS N. ARNOLD* and GERARD AWANOU
Institute for Mathematics and its Applications,
University of Minnesota, 400 Lind Hall,
207 Church Street S.E.,
Minneapolis, MN, 55455, USA
arnold@ima.umn.edu
awanou@ima.umn.edu
Received 18 February 2005
Communicated by F. Brezzi
We present a family of stable rectangular mixed finite elements for plane elasticity. Each
member of the family consists of a space of piecewise polynomials discretizing the space
of symmetric tensor fields in which the stress field is sought, and another to discretize
the space of vector fields in which the displacement is sought. These may be viewed as
analogues in the case of rectangular meshes of mixed finite elements recently proposed

  

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

 

Collections: Mathematics