74 citations · 218 across the 35 of their papers we have counts for
3 papers · 1 filter
Spectral analysis of a generalized buckling problem on a ball
Colette De Coster, Serge Nicaise, Christophe Troestler
In this paper, the spectrum of the following fourth order problem \begin{equation*} \begin{cases} Δ^2 u+νu=-λΔu &\text{in } D_1,\newline u=\partial_r u= 0 &\text{on } \partial D_1,…
Regularity and a priori error analysis of a Ventcel problem in polyhedral domains
Serge Nicaise, Hengguang Li, Anna Mazzucato
We consider the regularity of a mixed boundary value problem for the Laplace operator on a polyhedral domain, where Ventcel boundary conditions are imposed on one face of the polyh…
Adapted numerical methods for the numerical solution of the Poisson equation with boundary data in non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
The very weak solution of the Poisson equation with boundary data is defined by the method of transposition. The finite element solution with regularized boundary data conver…