396 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR154 papers
- Paris-Est SupFR126 papers
- École nationale des ponts et chausséesFR92 papers
- CERMICSFR71 papers
- Institut national de recherche en sciences et technologies du numériqueFR64 papers
- Laboratoire d'Informatique Gaspard-MongeFR46 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR44 papers
- Université Paris-Est CréteilFR40 papers
- Université Paris-Est Marne-la-ValléeFR39 papers
- Laboratoire NavierFR33 papers
- Laboratoire Modélisation et Simulation Multi-EchelleFR29 papers
- Université Paris DiderotFR15 papers
7 papers · 2 filters
Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods
Thomas Boiveau, Virginie Ehrlacher, Alexandre Ern +1
We devise a space-time tensor method for the low-rank approximation of linear parabolic evolution equations. The proposed method is a stable Galerkin method, uniformly in the discr…
A Hybrid High-Order method for highly oscillatory elliptic problems
Matteo Cicuttin, Alexandre Ern, Simon Lemaire
We devise a Hybrid High-Order (HHO) method for highly oscillatory elliptic problems that is capable of handling general meshes. The method hinges on discrete unknowns that are poly…
A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
Boumediene Nedjar, Herbert Baaser, Robert J. Martin +1
We investigate a finite element formulation of the exponentiated Hencky-logarithmic model whose strain energy function is given by \[ W_\mathrm{eH}(\boldsymbol{F}) = \dfracμ{k}\, e…
A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities
Anthony Nouy, Florent Pled
A multiscale numerical method is proposed for the solution of semi-linear elliptic stochastic partial differential equations with localized uncertainties and non-linearities, the u…
Equilibrated flux a posteriori error estimates in -norms for high-order discretizations of parabolic problems
Alexandre Ern, Iain Smears, Martin Vohralik
We consider the a posteriori error analysis of fully discrete approximations of parabolic problems based on conforming -finite element methods in space and an arbitrary order d…
A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids
Sébastien Boyaval
Saint-Venant equations can be generalized to account for a viscoelastic rheology in shallow flows. A Finite-Volume discretization for the 1D Saint-Venant system generalized to Uppe…
Stable broken and polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions
Alexandre Ern, Martin Vohralík
We study extensions of piecewise polynomial data prescribed on faces and possibly in elements of a patch of simplices sharing a vertex. In the setting, we look for functions…