Rectangular mixed elements for elasticity with weakly imposed symmetry condition
نویسندگان
چکیده
منابع مشابه
Rectangular mixed elements for elasticity with weakly imposed symmetry condition
We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger-Reissner functional in which the symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold, Falk and Winther [ Mixed finite element methods for linear ...
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The related physical equations of linear elasticity are the equilibrium equation and the constitutive equation, which expresses a relation between the stress and strain tensors. This is a first-order partial differential system such that a least squares method based on a stress-displacement formulation can be used whose corresponding finite element approximation does not preserve the symmetry o...
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2011
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-011-9240-1