15 citations · 38 across the 10 of their papers we have counts for
4 papers · 1 filter
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
Serge Nicaise, Juliette Venel
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continu…
Convergence order of a numerical scheme for sweeping process
Frederic Bernicot, Juliette Venel
In a previous paper, an implementable algorithm was introduced to compute discrete solutions of sweeping processes (i.e. specific first order differential inclusions). The converge…
Existence of solutions for second-order differential inclusions involving proximal normal cones
Frederic Bernicot, Juliette Venel
In this work, we prove global existence of solutions for second order differential problems in a general framework. More precisely, we consider second order differential inclusions…
Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme
Frederic Bernicot, Juliette Venel
Here we present well-posedness results for first order stochastic differential inclusions, more precisely for sweeping process with a stochastic perturbation. These results are pro…