2 citations · 2 across the 3 of their papers we have counts for
5 papers
Quasi-Trefftz spaces for the first-order time-harmonic Maxwell's equations
Ilaria Fontana, Lise-Marie Imbert-Gérard
The goal of this article is to study optimal high-order Taylor-based polynomial quasi-Trefftz spaces for first-order time-harmonic Maxwell's equations. Compared with standard polyn…
Generalized Plane Wave quasi-Trefftz spaces for wave propagation in inhomogeneous media
Ilaria Fontana, Lise-Marie Imbert-Gerard
Partial Differential Equations (PDEs) models for wave propagation in inhomogeneous media are relevant for many applications. We will discuss numerical methods tailored for tackling…
Hyperelastic nature of the Hoek-Brown criterion
Ilaria Fontana, Goustan Bacquaert, Daniele A. Di Pietro +1
We propose a nonlinear elasto-plastic model, for which a specific class of hyperbolic elasticity arises as a straight consequence of the yield criterion invariance on the plasticit…
An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact
Ilaria Fontana, Daniele A. Di Pietro
We consider the unilateral contact problem between an elastic body and a rigid foundation in a description that includes both Tresca and Coulomb friction conditions. For this probl…
A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method
Daniele Antonio Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko
We present an a posteriori error estimate based on equilibrated stress reconstructions for the finite element approximation of a unilateral contact problem with weak enforcement of…