A regularized dual mixed element for plane elasticity implementation and performance of the BDM element
In the present work we consider aspects of the formulation and numerical implementation of the BDM-Element (Brezzi, Douglas, Marini , Stenberg ). This element is based on an extended dual Hellinger-Reissner principle which leads to optimal convergence rates for the stresses and displacements. The element is characterized by a non-symmetric approximation of the stress field (Fraeijs de Veubeke ) which implies an approximation of the work-conjugate rotation field. Conditions for stability checks and optimal convergence of this element have been pointed out by Stein & Rolfes . Within this paper we discuss in detail algorithmic aspects of the implementation and perform comparisons with respect to the approximation behaviour of the Q1-, Pian-Sumihara- and the recently developed Q1/E5-Element.
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