A stability estimate for data assimilation subject to the heat equation with initial datum

Erik Burman; Guillaume Delay; Alexandre Ern; Lauri Oksanen

Comptes Rendus. Mathématique, Volume 361 (2023) no. 9 p. 1521-1530

Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

Zhaonan Dong; Alexandre Ern; Jean-Luc Guermond

Comptes Rendus. Mathématique, Volume 361 (2023) no. 4 p. 723-736

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

Théophile Chaumont-Frelet; Alexandre Ern; Martin Vohralík

Comptes Rendus. Mathématique, Volume 358 (2020) no. 9 p. 1101-1110

A converse to Fortin's Lemma in Banach spaces

Alexandre Ern; Jean-Luc Guermond

Comptes Rendus. Mathématique, Volume 354 (2016) no. 11 p. 1092-1095

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

Daniele A. Di Pietro; Alexandre Ern

Comptes Rendus. Mathématique, Volume 353 (2015) no. 1 p. 31-34

Equilibrated tractions for the Hybrid High-Order method

Daniele A. Di Pietro; Alexandre Ern

Comptes Rendus. Mathématique, Volume 353 (2015) no. 3 p. 279-282

Four closely related equilibrated flux reconstructions for nonconforming finite elements

Alexandre Ern; Martin Vohralík

Comptes Rendus. Mathématique, Volume 351 (2013) no. 1 p. 77-80

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

Alexandre Ern; Martin Vohralík

Comptes Rendus. Mathématique, Volume 347 (2009) no. 7 p. 441-444

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

Alexandre Ern; Igor Mozolevski; L. Schuh

Comptes Rendus. Mathématique, Volume 347 (2009) no. 9 p. 551-554

Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport

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

Comptes Rendus. Mathématique, Volume 346 (2008) no. 21 p. 1187-1190

Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

Erik Burman; Alexandre Ern

Comptes Rendus. Mathématique, Volume 346 (2008) no. 17 p. 1013-1016

The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p⩾2

Erik Burman; Alexandre Ern; Igor Mozolevski; Benjamin Stamm

Comptes Rendus. Mathématique, Volume 345 (2007) no. 10 p. 599-602

Adaptive models for polymeric fluid flow simulation

Alexandre Ern; Tony Lelièvre

Comptes Rendus. Mathématique, Volume 344 (2007) no. 7 p. 473-476

An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

Alexandre Ern; Serge Nicaise; Martin Vohralík

Comptes Rendus. Mathématique, Volume 345 (2007) no. 12 p. 709-712

Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes

Erik Burman; Alexandre Ern

Comptes Rendus. Mathématique, Volume 338 (2004) no. 8 p. 641-646

Une nouvelle méthode de relaxation pour les équations de Navier–Stokes compressibles

Emmanuel Bongiovanni; Alexandre Ern; Nathalie Glinsky-Olivier

Comptes Rendus. Mathématique, Volume 336 (2003) no. 3 p. 283-288