Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis

The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a non-trivial modification of involved interpolation operators. The analysis addresses only the h-convergence. In addition, numerical experiments for two dimensional case are provided. Key words. elasticity, mixed formulation, hp elements AMS subject classifications. 65N30, 65L12

• Type: Journal
• Year: 2011
• Where: SIAMNUM
• Authors: Weifeng Qiu, Leszek F. Demkowicz
• Keywords: Arnold-Falk-Winther Elements, Hp Elements, Linear Elasticity, SIAMNUM 2011