output
20062026
most citedPerceptual Adversarial Networks for Image-to-Image Transformation

396 citations

Showing 2017 · math.NAShow all

7 papers · 2 filters

math.NA2017★ 7 cited

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…

math.NA2017★ 25 cited

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…

math.NA2017★ 1 cited

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…

math.NA2017★ 15 cited

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…

math.NA2017★ 17 cited

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…

math.NA2017

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…

math.NA2017★ 46 cited

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…