Browsing by Author "Winther, Ragnar"
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Item Differential complexes and stability of finite element methods. I. The de Rham complex(2005-02) Arnold, Douglas N.; Falk, Richard S.; Winther, RagnarItem Differential complexes and stability of finite element methods. II. The elasticity complex(2005-02) Arnold, Douglas N.; Falk, Richard S.; Winther, RagnarItem Finite element exterior calculus, homological techniques, and applications(2006-02) Arnold, Douglas N.; Falk, Richard S.; Winther, RagnarItem Mixed finite element methods for linear elasticity with weakly imposed symmetry(2005-10) Arnold, Douglas N.; Falk, Richard S.; Winther, RagnarItem Nonconforming mixed elements for elasticity(2002-08) Arnold, Douglas N.; Winther, RagnarWe 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.