Partial relaxation of C^0 vertex continuity of stresses of conforming mixed finite elements for the elasticity problem – 26/11/2019

Rui Ma, Humboldt University

Sala conferenze IMATI-CNR, Pavia – Martedì 26 Novembre 2019 h.16:00

Abstract. A conforming triangular mixed element recently proposed by Hu and Zhang for linear elasticity is extended by rearranging the global degrees of freedom.
A feature of this extended discrete stress space is its nestedness in the sense that a space on a coarse mesh is a subspace of a space on any refinement, which allows a proof of convergence of a standard adaptive
algorithm. The idea is extended to impose a general traction boundary condition on the discrete level. Numerical experiments are provided to illustrate performance on both uniform and adaptive meshes.