Klaas, Ottmar; Schröder, Jörg; Stein, Erwin; Miehe, Christian:
A regularized dual mixed element for plane elasticity implementation and performance of the BDM element
1995
In: Computer Methods in Applied Mechanics and Engineering, Jg. 121 (1995), Heft 1-4, S. 201 - 209
Artikel/Aufsatz in Zeitschrift / Fach: Bauwissenschaften
Titel:
A regularized dual mixed element for plane elasticity implementation and performance of the BDM element
Autor(in):
Klaas, Ottmar; Schröder, Jörg im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen; Stein, Erwin; Miehe, Christian
Erscheinungsjahr:
1995
Erschienen in:
Computer Methods in Applied Mechanics and Engineering, Jg. 121 (1995), Heft 1-4, S. 201 - 209
ISSN:
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Abstract:

In the present work we consider aspects of the formulation and numerical implementation of the BDM-Element (Brezzi, Douglas, Marini [1985], Stenberg [1988]). 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 [1975]) 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 [1990]. 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.