A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element
type: Item
instance of: scholarly article
title: A regularized dual mixed element for plane elasticity. Implementation and performance of the BDM element
zbMATH Open document ID: 0852.73065
DOI: 10.1016/0045-7825(94)00701-N
author: Jörg Schröder
author: E. Stein
author: C. Miehe
author: O. Klaas
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-11-24T00:00:00Z
review text: We consider aspects of the formulation and numerical implementation of the BDM element. 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, which implies an approximation of the work-conjugate rotation field, by adding the couple equilibrium with a Lagrangian multiplier. We discuss in detail algorithmic aspects of the implementation and give comparisons with respect to the approximation behaviour of the Q1, Pian-Sumihara and the recently developed Q1/E5 element.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 881073
zbMATH Keywords: dual Hellinger-Reissner principle
zbMATH Keywords: optimal convergence rates
zbMATH Keywords: work-conjugate rotation field
zbMATH Keywords: Lagrangian multiplier
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 881073