Equilibrated tractions for the Hybrid High-Order method
arXiv:1411.0094
Originality Synthesis-oriented
AI Analysis
Provides a theoretical contribution for error estimation in elasticity simulations, but is incremental as it extends an existing method.
The paper develops a method to recover equilibrated face tractions for the Hybrid High-Order method in linear elasticity, proving optimal convergence. No concrete numbers are provided.
We show how to recover equilibrated face tractions for the hybrid high-order method for linear elasticity recently introduced in [D. A. Di Pietro and A. Ern, A hybrid high-order locking-free method for linear elasticity on general meshes, Comput. Meth. Appl. Mech. Engrg., 2015, 283:1-21], and prove that these tractions are optimally convergent.