A hybrid weakly nonconforming discretization for linear elasticity. Issue 1 (25th October 2016)

• Record Type: Journal Article
• Authors: Krämer, Julian; Wieners, Christian; Wohlmuth, Barbara; Wunderlich, Linus
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 16:Issue 1(2016)
• Page Start: 849
• Page End: 850
• Publication Date: 2016-10-25
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201610413
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: We introduce a hybridizable discretization for problems of linear elasticity, based on a flexible weak coupling of the displacement and the normal stress across the inner element boundaries. The dual variables of the Lagrange multiplier are introduced as hybrid trace variables. A reduction of the equation system to these variables allows for an efficient parallel implementation. The performance of an adaptive choice of the hybrid degrees of freedom is demonstrated by a numerical example with a corner singularity. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)