74 citations · 654 across the 39 of their papers we have counts for
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A variational discrete element method for quasi-static and dynamic elasto-plasticity
Frédéric Marazzato, Alexandre Ern, Laurent Monasse
We propose a new discrete element method supporting general polyhedral meshes. The method can be understood as a lowest-order discontinuous Galerkin method parametrized by the cont…
Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal approximation estimates in
Alexandre Ern, Thirupathi Gudi, Iain Smears +1
Given an arbitrary function in H(div), we show that the error attained by the global-best approximation by H(div)-conforming piecewise polynomial Raviart-Thomas-Nédélec elements un…
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
Victor M. Calo, Alexandre Ern, Ignacio Muga +1
We design and analyze a new adaptive stabilized finite element method. We construct a discrete approximation of the solution in a continuous trial space by minimizing the residual…
A quasi-optimal variant of the Hybrid High-Order method for elliptic PDEs with loads
Alexandre Ern, Pietro Zanotti
Hybrid High-Order methods for elliptic diffusion problems have been originally formulated for loads in the Lebesgue space . In this paper we devise and analyze a variant th…
Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
Alexandre Ern, Jean-Luc Guermond
In this paper we investigate the approximation of a diffusion model problem with contrasted diffusivity and the error analysis of various nonconforming approximation methods. The e…
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…