Hybrid high-order methods for flow simulations in extremely large discrete fracture networks

Ern, Alexandre; Hédin, Florent; Pichot, Géraldine; Pignet, Nicolas

The SMAI Journal of computational mathematics, Volume 8 (2022) p. 375-398

Polynomial-degree-robust $H\left(\mathbf{curl}\right)$-stability of discrete minimization in a tetrahedron

Chaumont-Frelet, Théophile; Ern, Alexandre; Vohralík, Martin

Comptes Rendus. Mathématique, Volume 358 (2020) p. 1101-1110

Boiveau, Thomas; Ehrlacher, Virginie; Ern, Alexandre; Nouy, Anthony

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 53 (2019) p. 635-658

An edge-based scheme on polyhedral meshes for vector advection-reaction equations

Cantin, Pierre; Ern, Alexandre

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 51 (2017) p. 1561-1581

Finite element quasi-interpolation and best approximation

Ern, Alexandre; Guermond, Jean-Luc

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 51 (2017) p. 1367-1385

Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem

Burman, Erik; Ern, Alexandre; Fernández, Miguel A.

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 51 (2017) p. 487-507

A converse to Fortin's Lemma in Banach spaces

Ern, Alexandre; Guermond, Jean-Luc

Comptes Rendus. Mathématique, Volume 354 (2016) p. 1092-1095

Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods

Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 50 (2016) p. 635-650

Hybrid high-order methods for variable-diffusion problems on general meshes

Di Pietro, Daniele A.; Ern, Alexandre

Comptes Rendus. Mathématique, Volume 353 (2015) p. 31-34

Equilibrated tractions for the Hybrid High-Order method

Di Pietro, Daniele A.; Ern, Alexandre

Comptes Rendus. Mathématique, Volume 353 (2015) p. 279-282

Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method

Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 (2014) p. 207-229

Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes

Bonelle, Jérôme; Ern, Alexandre

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 (2014) p. 553-581

Four closely related equilibrated flux reconstructions for nonconforming finite elements

Ern, Alexandre; Vohralík, Martin

Comptes Rendus. Mathématique, Volume 351 (2013) p. 77-80

Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations

Burman, Erik; Ern, Alexandre

ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 (2012) p. 681-707

A three-field augmented lagrangian formulation of unilateral contact problems with cohesive forces

Doyen, David; Ern, Alexandre; Piperno, Serge

ESAIM: Modélisation mathématique et analyse numérique, Volume 44 (2010) p. 323-346

Accurate velocity reconstruction for Discontinuous Galerkin approximations of two-phase porous media flows

Ern, Alexandre; Mozolevski, Igor; Schuh, L.

Comptes Rendus. Mathématique, Volume 347 (2009) p. 551-554

Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids

Ern, Alexandre; Vohralík, Martin

Comptes Rendus. Mathématique, Volume 347 (2009) p. 441-444

A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems

Ern, Alexandre; Meunier, Sébastien

ESAIM: Modélisation mathématique et analyse numérique, Volume 43 (2009) p. 353-375

Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport

Achchab, Boujemaâ; El Fatini, Mohamed; Ern, Alexandre; Souissi, A.

Comptes Rendus. Mathématique, Volume 346 (2008) p. 1187-1190

Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

Burman, Erik; Ern, Alexandre

Comptes Rendus. Mathématique, Volume 346 (2008) p. 1013-1016