Author: Ragnar Winther
Title of the contribution: Exact sequences and mixed finite elements for elasticity
Abstract:
We discuss finite element methods for the approximation of the equations of linear elasticity in three dimensions based on the modified Hellinger-Reissner variational principle that only weakly imposes the symmetry condition on the stresses. New stable methods are constructed by utilizing a connection between the de Rham complex and the elasticity complex.
By mimicking this construction in the discrete case we derive new mixed finite elements for linear elasticity in a systematic manner from known discretizations of the de Rham complex.
These elements appear to be simpler than the ones previously derived.
For example, we construct stable elements which use only piecewise linear elements for the stress field and piecewise constant functions to approximate the displacement.
URL: www.ricam.oeaw.ac.at/specsem/sscm/srs_ev/difcome/program/abstracts/abstract_winther.php
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