1er Symposium canadien en analyse numérique et calcul scientifique
Numerical calculations based on a mixed finite element method for linear elasticity with weakly imposed symmetry
Guénette, Robert
Université Laval

In this talk, we shall present preliminary results  based on the Arnold-Falk-Winther mixed finite element for the linear elasticity. The method introduces the stress tensor, the displacement field, and  the anti-symmetric part of the strain tensor as independent variables. The formulation is based on the variant of the Hellinger-Reissner variational principle which weakly imposes the symmetry conditions on the stresses. The equations will be reformulated in terms of differential forms using the Finite Element Exterior Calculus.  The simplest low order compatible discretization will be chosen. Numerical results will be shown on various planar linear elasticity problems. Special attention will be paid to the incompressible limit as the Poisson’s ratio tends to $1/2$.

Mercredi, 19 juin, 10h30
Salle Des Plaines B