Séance Séminaire

Séminaire des Doctorant·e·s

A Hybrid HIgh-Order method for nonlinear elasticity on genreal meshes

I will talk about a novel algorithm for some nonlinear elasticity problems based on a Hybrid High-Order (HHO) discretization. The method relies on a pure-displacement (primal) formulation and has several assets including, in particular, the support of general polyhedral meshes and arbitrary space approximation order. The key idea is to reconstruct the symmetric gradient inside each mesh element in terms of the degrees of freedom by solving inexpensive local problems. Under suitable assumptions on the stress-strain nonlinear relation, an optimal error estimate for the energy norm of the displacement will be derived. I will also provide some numerical tests demonstrating the performance of the method for some hyperelasticity models.