Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity
Abstract
We present a conforming setting for a mixed formulation of linear elasticity with symmetric stress that has normal-normal continuous components across faces of tetrahedral meshes. We provide a stress element for this formulation with 30 degrees of freedom that correspond to standard boundary conditions. The resulting scheme converges quasi-optimally and is locking free. Numerical experiments illustrate the performance.
Fields of Study & Subjects
Elasticity and Material Modeling
Numerical methods in engineering
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- Numerische Mathematik
- Volume
- 158
- Issue
- 4
- Pages
- 1451–1472
- Publication date
- 27 May 2026
- Language
- EN