Nonconforming mixed elements for elasticity

Douglas N. Arnold

doi:10.1142/S0218202503002507

2011-11-21

Douglas N. Arnold *

Ragnar Winther

DOI：10.1142/S0218202503002507

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摘要

En 中文

We construct first-order, stable, nonconforming mixed finite elements for plane elasticity and analyze their convergence. The mixed method is based on the Hellinger-Reissner variational formulation in which the stress and displacement fields are the primary unknowns. The stress elements use polynomial shape functions but do not involve vertex degrees of freedom.

Keyword:

mixed method

nonconforming finite element

elasticity

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Mathematical Models and Methods in Applied Sciences

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