Analysis of a drift-diffusion model for perovskite solar cells

D Abdel, A Glitzky, M Liero - Discrete and Continuous Dynamical …, 2025 - aimsciences.org
This paper deals with the analysis of an instationary drift-diffusion model for perovskite solar
cells including Fermi–Dirac statistics for electrons and holes and Blakemore statistics for the …

Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models

D Abdel, M Herda, M Ziegler… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, we present the numerical analysis and simulations of a multi-dimensional
memristive device model. Memristive devices and memtransistors based on two …

Uniqueness and regularity of weak solutions of a drift-diffusion system for perovskite solar cells

A Glitzky, M Liero - arXiv preprint arXiv:2411.18223, 2024 - arxiv.org
We establish a novel uniqueness result for an instationary drift-diffusion model for perovskite
solar cells. This model for vacancy-assisted charge transport uses Fermi--Dirac statistics for …

Charge transport systems with Fermi-Dirac statistics for memristors

M Herda, A Jüngel, S Portisch - arXiv preprint arXiv:2409.01196, 2024 - arxiv.org
An instationary drift-diffusion system for the electron, hole, and oxygen vacancy densities,
coupled to the Poisson equation for the electric potential, is analyzed in a bounded domain …

On a drift‐diffusion model for perovskite solar cells

A Glitzky - PAMM, 2024 - Wiley Online Library
We introduce a vacancy‐assisted charge transport model for perovskite solar cells. This
instationary drift‐diffusion system describes the motion of electrons, holes, and ionic …

Analysis of nonlocal cross-diffusion and nonlinear drift-diffusion systems using entropy methods

S Portisch - 2024 - repositum.tuwien.at
Systems including cross-diffusion, ie the process where the flux of one component or
speciesis induced by the gradient of another component or species, have received …

Solution of drift-diffusion models for Organic Light Emitting Diodes (OLEDs)

W Clarke, S Urbainczyk, GV Velikova, M Zyskin… - 2023 - cambridge.org
Drift-diffusion models are widely used to describe the transport and interactions of charge
carriers in organic light emitting diode (OLED) devices. Solving these accurately and …

Développement et analyse de schémas d'ordre élevé pour des modèles de convection-diffusion: étude du comportement en temps long

J Moatti - 2023 - theses.hal.science
Dans cette thèse, nous nous intéressons à l'approximation numérique de problèmes de
convection-diffusion, potentiellement anisotropes, par des schémas d'ordre élevé sur …