A. Ern

activity

20082023

most citedA discontinuous-skeletal method for advection-diffusion-reaction on general meshes

74 citations · 654 across the 39 of their papers we have counts for

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Showing 2016 · math.NAShow all

3 papers · 2 filters

math.NA2016★ 47 cited

Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems

Alexandre Ern, Iain Smears, Martin Vohralík

We consider the a posteriori error analysis of approximations of parabolic problems based on arbitrarily high-order conforming Galerkin spatial discretizations and arbitrarily high…

math.NA2016★ 22 cited

Discrete $p$ -robust $H (div)$ -liftings and a posteriori estimates for elliptic problems with $H^{- 1}$ source terms

Alexandre Ern, Iain Smears, Martin Vohralík

We establish the existence of liftings into discrete subspaces of $H (div)$ of piecewise polynomial data on locally refined simplicial partitions of polygonal/poly…

math.NA2016

A converse to Fortin's Lemma in Banach spaces

Alexandre Ern, Jean-Luc Guermond

The converse of Fortin's Lemma in Banach spaces is established in this Note.

Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems

Discrete p-robust H(div)-liftings and a posteriori estimates for elliptic problems with H−1 source terms

A converse to Fortin's Lemma in Banach spaces

Discrete $p$ -robust $H (div)$ -liftings and a posteriori estimates for elliptic problems with $H^{- 1}$ source terms