74 citations · 654 across the 39 of their papers we have counts for
10 papers · 1 filter
An adaptive -refinement strategy with computable guaranteed bound on the error reduction factor
Patrik Daniel, Alexandre Ern, Iain Smears +1
We propose a new practical adaptive refinement strategy for -finite element approximations of elliptic problems. Following recent theoretical developments in polynomial-degree-…
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…
Spectral approximation of elliptic operators by the Hybrid High-Order method
Victor Calo, Matteo Cicuttin, Quanling Deng +1
We study the approximation of the spectrum of a second-order elliptic differential operator by the Hybrid High-Order (HHO) method. The HHO method is formulated using cell and face…
An unfitted Hybrid High-Order method for elliptic interface problems
Erik Burman, Alexandre Ern
We design and analyze a Hybrid High-Order (HHO) method on unfitted meshes to approximate elliptic interface problems. The curved interface can cut through the mesh cells in a very…
A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems
Amina Benaceur, Alexandre Ern, Virginie Ehrlacher +1
We investigate new developments of the combined Reduced-Basis and Empirical Interpolation Methods (RB-EIM) for parametrized nonlinear parabolic problems. In many situations, the co…
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…