Publications

Related publications of the members (non-exhaustive)

Preprints

  • Physics-Guided Sequence Modeling for Fast Simulation and Design Exploration of 2D Memristive Devices
    Benjamin Spetzler, Elizaveta Spetzler, Saba Zamankhani, Dilara Abdel, Patricio Farrell, Kai-Uwe Sattler, Martin Ziegler
    arXiv, 2025
    🔗 | 📄 PDF | 📚 BibTeX

  • Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models
    Dilara Abdel, Maxime Herda, Martin Ziegler, Claire Chainais-Hillairet, Benjamin Spetzler, Patricio Farrell
    arXiv, 2024
    🔗 | 📄 PDF | 📚 BibTeX

Published Articles

  • Charge Transport Systems with Fermi–Dirac Statistics for Memristors
    Maxime Herda, Ansgar Jüngel, Stefan Portisch
    Journal of Nonlinear Science, 2025, 35(2)
    🔗 | 📄 PDF | 📚 BibTeX

  • Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells
    Dilara Abdel, Claire Chainais-Hillairet, Patricio Farrell, Maxime Herda
    IMA Journal of Numerical Analysis, 2024, 44(2): 1090-1129
    🔗 | 📄 PDF | 📚 BibTeX

  • The Role of Vacancy Dynamics in Two‐Dimensional Memristive Devices
    Benjamin Spetzler, Dilara Abdel, Frank Schwierz, Martin Ziegler, Patricio Farrell
    Advanced Electronic Materials, 2024, 10(1)
    🔗 | 📚 BibTeX

  • A monotone numerical flux for quasilinear convection diffusion equation
    C. Chainais-Hillairet, R. Eymard, J. Fuhrmann
    Mathematics of Computation, 2023, 93(345): 203-231
    🔗 | 📚 BibTeX

  • Volume exclusion effects in perovskite charge transport modeling
    Dilara Abdel, Nicola E. Courtier, Patricio Farrell
    Optical and Quantum Electronics, 2023, 55(10)
    🔗 | 📄 PDF | 📚 BibTeX

  • A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes
    Julien Moatti
    ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57(4): 2557-2593
    🔗 | 📚 BibTeX

  • Importance of satisfying thermodynamic consistency in optoelectronic device simulations for high carrier densities
    Patricio Farrell, Julien Moatti, Michael O’Donovan, Stefan Schulz, Thomas Koprucki
    Optical and Quantum Electronics, 2023, 55(11)
    🔗 | 📄 PDF | 📚 BibTeX

  • Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints
    Benoît Gaudeul, Jürgen Fuhrmann
    Numerische Mathematik, 2022, 151(1): 99-149
    🔗 | 📄 PDF | 📚 BibTeX

  • Existence of traveling wave solutions for the Diffusion Poisson Coupled Model: a computer-assisted proof
    Maxime Breden, Claire Chainais-Hillairet, Antoine Zurek
    ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55(4): 1669-1697
    🔗 | 📚 BibTeX

  • A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model
    Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann, Benoît Gaudeul
    IMA Journal of Numerical Analysis, 2021, 41(1): 271-314
    🔗 | 📄 PDF | 📚 BibTeX

  • Assessing the quality of the excess chemical potential flux scheme for degenerate semiconductor device simulation
    Dilara Abdel, Patricio Farrell, Jürgen Fuhrmann
    Optical and Quantum Electronics, 2021, 53(3)
    🔗 | 📄 PDF | 📚 BibTeX

  • Large-time behaviour of a family of finite volume schemes for boundary-driven convection–diffusion equations
    Claire Chainais-Hillairet, Maxime Herda
    IMA Journal of Numerical Analysis, 2020, 40(4): 2473-2504
    🔗 | 📄 PDF | 📚 BibTeX

  • Drift–diffusion simulation of S-shaped current–voltage relations for organic semiconductor devices
    Duy Hai Doan, Axel Fischer, Jürgen Fuhrmann, Annegret Glitzky, Matthias Liero
    Journal of Computational Electronics, 2020, 19(3): 1164-1174
    🔗 | 📄 PDF | 📚 BibTeX

  • Finite‐volume scheme for a degenerate cross‐diffusion model motivated from ion transport
    Clément Cancès, Claire Chainais‐Hillairet, Anita Gerstenmayer, Ansgar Jüngel
    Numerical Methods for Partial Differential Equations, 2019, 35(2): 545-575
    🔗 | 📄 PDF | 📚 BibTeX

  • Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations
    Clément Cancès, Claire Chainais-Hillairet, Stella Krell
    Computational Methods in Applied Mathematics, 2018, 18(3): 407-432
    🔗 | 📚 BibTeX

  • Exponential decay of a finite volume scheme to the thermal equilibrium for drift–diffusion systems
    Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet
    Journal of Numerical Mathematics, 2017, 25(3)
    🔗 | 📚 BibTeX

  • Electrothermal Description of Organic Semiconductor Devices by <i>p</i>(<i>x</i>)‐Laplace Thermistor Models
    Jürgen Fuhrmann, Annegret Glitzky, Matthias Liero
    PAMM, 2017, 17(1): 701-702
    🔗 | 📄 PDF | 📚 BibTeX

  • Discrete duality finite volume schemes for two‐dimensional drift‐diffusion and energy‐transport models
    C. Chainais‐Hillairet
    International Journal for Numerical Methods in Fluids, 2009, 59(3): 239-257
    🔗 | 📚 BibTeX

  • Finite volume approximation for degenerate drift-diffusion system in several space dimensions
    Claire Chainais‐Hillairet, Yue-Jun Peng
    Mathematical Models and Methods in Applied Sciences, 2004, 14(03): 461-481
    🔗 | 📚 BibTeX