Sesión Análisis Numérico y OptimizaciónHybrid stress elements for linear elasticity
Norbert Heuer
Pontificia Universidad Católica de Chile, Chile - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
The construction of divergence conforming symmetric stress elements for mixed methods requires to use higher polynomial degrees, and makes implementation cumbersome. There are several strategies of simplification by relaxation of conformity. We present a hybrid framework that allows for simple stress elements while maintaining conformity, including symmetry, with respect to the underlying hybrid stress space. We cover both two and three dimensions with triangular [1] and tetrahedral elements [2], respectively. Numerical examples confirm the locking-free convergence of our mixed scheme.
This work has been supported by ANID-Chile through grant Fondecyt Regular 1230013.
Trabajo en conjunto con: Carsten Carstensen (Humboldt-Universität zu Berlin, Germany).
Referencias
[1] C. Carstensen, N. Heuer, Normal-normal continuous symmetric stresses in mixed finite element elasticity, Math. Comp. vol. 94, pp. 1571–1602, 2025.
[2] C. Carstensen, N. Heuer, Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity, arXiv 2502.00609, 2025.