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Digital Object Identifier (DOI) 10.1007/s002110100348 Numer. Math. (2002) 92: 401419

Summary: Digital Object Identifier (DOI) 10.1007/s002110100348
Numer. Math. (2002) 92: 401419
Mixed finite elements for elasticity
Douglas N. Arnold1, Ragnar Winther2
Institute for Mathematics and its Applications, University of Minnesota, Minneapolis,
MN 55455, USA; e-mail: arnold@ima.umn.edu
Department of Informatics, University of Oslo, Oslo, Norway; e-mail: rwinther@ifi.uio.no
Received January 10, 2001 /
Published online November 15, 2001 c Springer-Verlag 2001
Summary. There have been many efforts, dating back four decades, to
develop stable mixed finite elements for the stress-displacement formulation
of the plane elasticity system. This requires the development of a compatible
pair of finite element spaces, one to discretize the space of symmetric tensors
in which the stress field is sought, and one to discretize the space of vector
fields in which the displacement is sought. Although there are number of
well-known mixed finite element pairs known for the analogous problem


Source: Arnold, Douglas N. - School of Mathematics, University of Minnesota
Winther, Ragnar - Department of Informatics & Matematisk institutt, Universitetet i Oslo


Collections: Mathematics