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On the construction of a triangular Mixed Finite Element based on the principle of Hellinger‐Reissner
Author(s) -
Viebahn Nils,
Steeger Karl,
Schröder Jörg
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800116
Subject(s) - finite element method , interpolation (computer graphics) , element (criminal law) , mathematics , degrees of freedom (physics and chemistry) , symmetry (geometry) , superconvergence , stress (linguistics) , order (exchange) , mathematical analysis , geometry , structural engineering , engineering , physics , classical mechanics , law , motion (physics) , linguistics , philosophy , finance , quantum mechanics , political science , economics
A low order finite element based on a Hellinger‐Reissner formulation with weak enforcement of the stress symmetry is presented. The novel element gets along without any additional degrees of freedom beside the displacements and stresses. Therein, lowest order Raviart‐Thomas interpolation is utilized for the stresses and a C0 continuous polynomial interpolation of first order is adopted for the displacements. This combination leads to a very efficient and robust element formulation which will be depicted on a couple of numerical examples.