66 citations · 177 across the 15 of their papers we have counts for
21 papers
Spectral scheme for an energetic Fokker-Planck equation with -distribution steady states
Claudia Negulescu, Hugo Parada
The concern of the present paper is the design of efficient numerical schemes for a specific Fokker-Planck equation describing the dynamics of energetic particles occurring in ther…
Fokker-planck Multi-species Equations In The Adiabatic Asymptotics
Francis Filbet, Claudia Negulescu
The main concern of the present paper is the study of the multi-scale dynamics of thermonuclear fusion plasmas via a multi-species Fokker-Planck kinetic model. One of the goals is…
Mathematical modelling of charge transport in graphene heterojunctions
Luigi Barletti, Giovanni Nastasi, Claudia Negulescu +1
A typical graphene heterojunction device can be divided into two classical zones, where the transport is basically diffusive, separated by a "quantum active region" (e.g., a locall…
Quantum transmission conditions for diffusive transport in graphene with steep potentials
Luigi Barletti, Claudia Negulescu
We present a formal derivation of a drift-diffusion model for stationary electron transport in graphene, in presence of sharp potential profiles, such as barriers and steps. Assumi…
Solvable models of quantum beating
R. Carlone, R. Figari, C. Negulescu +1
We review some results about the suppression of quantum beating in a one dimensional nonlinear double well potential. We implement a single particle double well potential model, ma…
Asymptotic-Preserving scheme for the resolution of evolution equations with stiff transport terms
Baptiste Fedele, Claudia Negulescu, Stefan Possanner
We develop an asymptotic-preserving scheme to solve evolution problems containing stiff transport terms. This scheme is based to a micro-macro decomposition of the unknown, coupled…
Asymptotic-Preserving scheme for a strongly anisotropic vorticity equation arising in fusion plasma modelling
Andrea Mentrelli, Claudia Negulescu
The electric potential is an essential quantity for the confinement process of tokamak plasmas, with important impact on the performances of fusion reactors. Understanding its evol…
The quantum beating and its numerical simulation
Raffaele Carlone, Rodolfo Figari, Claudia Negulescu
We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions. The investigation of the…
Numerical study of an anisotropic Vlasov equation arising in plasma physics
Baptiste Fedele, Claudia Negulescu
Goal of this paper is to investigate several numerical schemes for the resolution of two anisotropic Vlasov equations. These two toy-models arise from a kinetic description of a to…
Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions
Anton Arnold, Claudia Negulescu
This paper is concerned with a 1D Schrödinger scattering problem involving both oscillatory and evanescent regimes, separated by jump discontinuities in the potential function, to…
Hybrid classical-quantum models for charge transport in graphene with sharp potentials
Luigi Barletti, Claudia Negulescu
We give a concise account on the derivation of hybrid quantum-classical models for stationary electron transport in graphene, in presence of sharp potential steps of barriers. A qu…
A hybrid method for anisotropic elliptic problems based on the coupling of an Asymptotic-Preserving method with the Asymptotic-Limit model
Anais Crestetto, Fabrice Deluzet, Claudia Negulescu
This paper presents a hybrid numerical method to solve efficiently a class of highly anisotropic elliptic problems. The anisotropy is aligned with one coordinate-axis and its stren…
Numerical analysis of an asymptotic-preserving scheme for anisotropic elliptic equations
Alexei Lozinski, Jacek Narski, Claudia Negulescu
The main purpose of the present paper is to study from a numerical analysis point of view some robust methods designed to cope with stiff (highly anisotropic) elliptic problems. Th…
A model of a quantum particle in a quantum environment: a numerical study
R. Carlone, R. Figari, C. Negulescu
We define and investigate, via numerical analysis, a one dimensional toy-model of a cloud chamber. An energetic quantum particle, whose initial state is a superposition of two iden…
Bounded weak solutions to matrix drift-diffusion model for spin-coherent electron transport in semiconductors
Ansgar Jüngel, Claudia Negulescu, Polina Shpartko
The global-in-time existence and uniqueness of bounded weak solutions to a spinorial matrix drift-diffusion model for semiconductors is proved. Developing the electron density matr…
De coherence for a heavy particle interacting with a light one: new analysis and numerics
Riccardo Adami, Maxime Hauray, Claudia Negulescu
We study the dynamics of a quantum heavy particle undergoing a repulsive interaction with a light one. The main motivation is the detailed description of the loss of coherence indu…
Highly anisotropic temperature balance equation and its asymptotic-preserving resolution
Alexei Lozinski, Jacek Narski, Claudia Negulescu
This paper deals with the numerical study of a nonlinear, strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high a…
Numerical study of a nonlinear heat equation for plasma physics
Francis Filbet, Claudia Negulescu, Chang Yang
This paper is devoted to the numerical approximation of a nonlinear temperature balance equation, which describes the heat evolution of a magnetically confined plasma in the edge r…
An Asymptotic-Preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition
Pierre Degond, Alexei Lozinski, Jacek Narski +1
The concern of the present work is the introduction of a very efficient Asymptotic Preserving scheme for the resolution of highly anisotropic diffusion equations. The characteristi…
Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equations
Pierre Degond, Fabrice Deluzet, Alexei Lozinski +2
The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variab…
An asymptotic preserving scheme for strongly anisotropic elliptic problems
Pierre Degond, Fabrice Deluzet, Claudia Negulescu
In this article we introduce an asymptotic preserving scheme designed to compute the solution of a two dimensional elliptic equation presenting large anisotropies. We focus on an a…