Equilibrated tractions for the Hybrid High-Order method
Daniele A. Di Pietro, Alexandre Ern
TL;DR
This paper presents a method to recover equilibrated face tractions in the hybrid high-order approach for linear elasticity, demonstrating their optimal convergence and improving the method's reliability.
Contribution
It introduces a technique to recover equilibrated face tractions for the hybrid high-order method, ensuring optimal convergence and enhancing the method's accuracy.
Findings
Tractions are recovered with optimal convergence.
The method improves the reliability of the hybrid high-order approach.
The approach is applicable to general meshes.
Abstract
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.
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