Nonconforming mixed elements for elasticity

Arnold, Douglas N.
Winther, Ragnar
2002-08
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Nonconforming mixed elements for elasticity

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2002-08

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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.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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Arnold, Douglas N.; Winther, Ragnar. (2002). Nonconforming mixed elements for elasticity. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3816.

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