4 papers
Hybrid high-order methods. A primer with application to solid mechanics
Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
This book is organized into eight chapters. The first three gently introduce the basic principles of hybrid high-order methods on a linear diffusion problem, the key ideas underlyi…
A Hybrid High-Order method for finite elastoplastic deformations within a logarithmic strain framework
Mickaël Abbas, Alexandre Ern, Nicolas Pignet
We devise and evaluate numerically a Hybrid High-Order (HHO) method for finite plasticity within a logarithmic strain framework. The HHO method uses as discrete unknowns piecewise…
A Hybrid High-Order method for incremental associative plasticity with small deformations
Mickaël Abbas, Alexandre Ern, Nicolas Pignet
We devise and evaluate numerically a Hybrid High-Order (HHO) method for incremental associative plasticity with small deformations. The HHO method uses as discrete unknowns piecewi…
Hybrid High-Order methods for finite deformations of hyperelastic materials
Mickaël Abbas, Alexandre Ern, Nicolas Pignet
We devise and evaluate numerically Hybrid High-Order (HHO) methods for hyperelastic materials undergoing finite deformations. The HHO methods use as discrete unknowns piecewise pol…