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math.NA2023
An interface formulation for the Poisson equation in the presence of a semiconducting single-layer material
Clément Jourdana, Paola Pietra
In this paper, we consider a semiconducting device with an active zone made of a single-layer material. The associated Poisson equation for the electrostatic potential (to be solve…
math.NA2015
A Plane Wave Virtual Element Method for the Helmholtz Problem
Ilaria Perugia, Paola Pietra, Alessandro Russo
We introduce and analyze a virtual element method (VEM) for the Helmholtz problem with approximating spaces made of products of low order VEM functions and plane waves. We restrict…
math.NA2011
A Block Solver for the Exponentially Fitted IIPG-0 method
Blanca Ayuso de Dios, Ariel Lombardi, Paola Pietra +1
We consider an exponentially fitted discontinuous Galerkin method and propose a robust block solver for the resulting linear systems.