74 citations · 218 across the 35 of their papers we have counts for
4 papers · 1 filter
Dispersive effects for the Schrödinger equation on a tadpole graph
Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise
We consider the free Schrödinger group on a tadpole graph . We first show that the time decay estimates $L^1 ({\mathcal R}) \rightarrow L^\…
A dual singular complement method 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…
Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
Thomas Apel, Serge Nicaise, Johannes Pfefferer
Several approaches are discussed how to understand the solution of the Dirichlet problem for the Poisson equation when the Dirichlet data are non-smooth such as if they are in $L^2…
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces
Alex Bespalov, Serge Nicaise
We consider the variational formulation of the electric field integral equation on a Lipschitz polyhedral surface . We study the Galerkin boundary element discretisations based…