@article{Ali2025, author = {Ali, Giuseppe and Amer, Zeina and Farrell, Patricio and Rotundo, Nella}, journal = {Submitted}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.3228}{WIAS preprint 3228}}, publisher = {Weierstrass Institut}, title = {Classical solutions for a van Roosbroeck-Helmholtz model for a semiconductor laser diode}, year = {2025}, } @article{Amer2025, author = {Zeina Amer and Ana Avdzhieva and Marcelo Bongarti and Pavel Dvurechensky and Patricio Farrell and Uwe Gotzes and Falk Hante and Attila Karsai and Stefan Kater and Manuel Landstorfer and Matthias Liero and Dirk Peschka and Luisa Plato and Klaus Spreckelsen and Johannes Taraz and Barbara Wagner}, journal = {\href{http://doi.org/10.20347/WIAS.PREPRINT.3201}{WIAS preprint 3201}}, title = {Modeling hydrogen embrittlement for pricing degradation in gas pipelines}, year = {2025}, } @article{Spetzler2025, author = {Benjamin Spetzler and Elizaveta Spetzler and Saba Zamankhani and Dilara Abdel and Patricio Farrell and Kai-Uwe Sattler and Martin Ziegler}, journal = {Submitted}, note = {\href{https://arxiv.org/abs/2505.13882}{arXiv}}, title = {Physics-Guided Sequence Modeling for Fast Simulation and Design Exploration of 2D Memristive Devices}, year = {2025}, } @article{Hadjimichael2024, author = {Yiannis Hadjimichael and Oliver Brandt and Christian Merdon and Costanza Manganelli and Patricio Farrell}, journal = {Physical Review B}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.3141}{WIAS preprint 3141}}, pages = {165303}, title = {Strain distribution in zincblende and wurtzite GaAs nanowires bent by a one-sided (In, Al)As shell: consequences for torsion, chirality, and piezoelectricity}, volume = {113}, year = {2024}, doi = {10.1103/pjq7-8gll}, } @article{Abdel2026, author = {Abdel, Dilara and Relle, Jacob and Kirchartz, Thomas and Jaap, Patrick and Fuhrmann, J{\"u}rgen and Burger, Sven and Becker, Christiane and J{\"a}ger, Klaus and Farrell, Patricio}, journal = {EES Sol.}, note = {\href{https://arxiv.org/abs/2506.10691}{arXiv}}, pages = {-}, publisher = {RSC}, title = {How nanotextured interfaces influence the electronics in perovskite solar cells}, year = {2026}, abstract = {Perovskite solar cells have reached power conversion efficiencies that rival those of established silicon photovoltaics. Nanotextures in perovskite solar cells scatter the incident light{,} thereby improving optical absorption. In addition{,} experiments show that nanotextures impact electronic performance{,} although the underlying mechanisms remain unclear. This study investigates the underlying theoretical reasons by combining multi-dimensional optical and charge-transport simulations for a single-junction perovskite solar cell. Our numerical results reveal that texturing redistributes the electric field{,} influencing carrier accumulation and recombination dynamics. We find that moderate texturing heights (≤300 nm) always increase the power conversion efficiency{,} regardless of surface recombination velocities. Our study also clarifies why experiments have reported that texturing both increased and reduced open-circuit voltages in perovskite solar cells: this behaviour originates from variations in surface recombination at the untextured electron transport layer. In contrast{,} surface recombination at the textured hole transport layer strongly affects the short-circuit current density{,} with lower recombination rates keeping it closer to the optical ideal. These findings provide new insights into the opto-electronic advantages of texturing and offer guidance for the design of next-generation textured perovskite-based solar cells{,} light emitting diodes{,} and photodetectors.}, doi = {10.1039/D5EL00208G}, url = {http://dx.doi.org/10.1039/D5EL00208G}, } @article{Abdel2025b, author = {Dilara Abdel and Maxime Herda and Martin Ziegler and Claire Chainais-Hillairet and Benjamin Spetzler and Patricio Farrell}, journal = {Computers and Mathematics with Applications}, note = {\href{https://arxiv.org/abs/2412.15065}{arXiv}}, pages = {286-308}, title = {Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models}, volume = {199}, year = {2025}, } @article{ODonovan2025, author = {Michael O'Donovan and Robert Finn and Patricio Farrell and Timo Streckenbach and Julien Moatti and Stefan Schulz and Thomas Koprucki}, journal = {Journal of Computational Electronics}, number = {114}, title = {Developing a hybrid single band carrier transport model for (Al,Ga)N heterostructures}, volume = {24}, year = {2025}, doi = {10.1007/s10825-025-02333-2}, } @article{Ali2024, author = {Giuseppe Al{\`{\i}} and Patricio Farrell and Nella Rotundo}, journal = {Journal of Mathematical Analysis and Applications}, note = {\href{https://arxiv.org/abs/2404.10466}{arXiv}}, number = {2}, title = {Forward lateral photovoltage scanning problem: Perturbation approach and existence-uniqueness analysis}, volume = {541}, year = {2025}, doi = {10.1016/j.jmaa.2024.128725}, } @article{Hadjimichael2023, author = {Yiannis Hadjimichael and Christian Merdon and Matthias Liero and Patricio Farrell}, journal = {International Journal for Numerical Methods in Engineering}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.3064}{WIAS preprint 3064}}, number = {19}, pages = {e7508}, title = {An energy-based finite-strain model for 3D heterostructured materials and its validation by curvature analysis}, volume = {125}, year = {2024}, doi = {10.1002/nme.7508}, } @article{Piani2022, author = {Stefano Piani and Patricio Farrell and Wenyu Lei and Nella Rotundo and L. Heltai}, journal = {Applied Mathematics in Science and Engineering}, note = {\href{http://arxiv.org/abs/2208.00742}{arXiv}}, number = {1}, title = {Data-driven solutions of ill-posed inverse problems arising from doping reconstruction in semiconductors}, volume = {32}, year = {2024}, doi = {10.1080/27690911.2024.2323626}, } @article{Lei2022, author = {Lei, Wenyu and Piani, Stefano and Farrell, Patricio and Rotundo, Nella and Heltai, Luca}, journal = {Journal of Scientific Computing}, note = {\href{https://arxiv.org/abs/2211.02508}{arXiv}}, number = {33}, publisher = {arXiv}, title = {A weighted Hybridizable Discontinuous Galerkin method for drift-diffusion problems}, volume = {99}, year = {2024}, doi = {10.1007/s10915-024-02481-w}, } @article{ODonovan2022b, author = {Michael O'Donovan and Patricio Farrell and Julien Moatti and Timo Streckenbach and Thomas Koprucki and Stefan Schulz}, journal = {Physical Review Applied}, note = {\href{https://arxiv.org/abs/2209.11657}{arXiv}}, pages = {024052}, title = {Impact of random alloy fluctuations on the carrier distribution in multi-color (In,Ga)N/GaN quantum well systems}, volume = {21}, year = {2024}, doi = {10.1103/PhysRevApplied.21.024052}, } @article{Spetzler2023, author = {Benjamin Spetzler and Dilara Abdel and Frank Schwierz and Martin Ziegler and Patricio Farrell}, journal = {Advanced Electronic Materials}, note = {\href{https://arxiv.org/abs/2304.06527}{arXiv}}, number = {1}, title = {The Role of Mobile Point Defects in Two-Dimensional Memristive Devices}, volume = {10}, year = {2024}, doi = {10.1002/aelm.202300635}, } @article{Farrell2023b, author = {Patricio Farrell and Julien Moatti and Michael O'Donovan and Stefan Schulz and Thomas Koprucki}, journal = {Optical and Quantum Electronics}, number = {978}, title = {Importance of satisfying thermodynamic consistency in light emitting diode simulations}, volume = {55}, year = {2023}, doi = {10.1007/s11082-023-05234-5}, } @article{Abdel2022b, author = {Dilara Abdel and Nicola Courtier and Patricio Farrell}, journal = {Optical and Quantum Electronics}, note = {\href{http://dx.doi.org/10.20347/WIAS.PREPRINT.2965}{WIAS Preprint 2965}}, number = {884}, title = {Volume exclusion effects in perovskite charge transport modeling}, volume = {55}, year = {2023}, doi = {10.1007/s11082-023-05125-9}, } @article{Finn2023, author = {Robert Finn and Michael O'Donovan and Patricio Farrell and Julien Moatti and Timo Streckenbach and Thomas Koprucki and Stefan Schulz}, journal = {Applied Physics Letters}, number = {24}, title = {Theoretical study of the impact of alloy disorder on carrier transport and recombination processes in deep UV (Al, Ga)N light emitters}, volume = {122}, year = {2023}, doi = {10.1063/5.0148168}, } @article{Abdel2023, author = {Dilara Abdel and Claire Chainais-Hillairet and Patricio Farrell and Maxime Herda}, journal = {IMA Journal of Numerical Analysis}, note = {\href{https://arxiv.org/abs/2209.07934}{arXiv}}, title = {Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells}, year = {2023}, doi = {10.1093/imanum/drad034}, } @article{ODonovan2022, author = {Michael O'Donovan and Patricio Farrell and Timo Streckenbach and Thomas Koprucki and Stefan Schulz}, journal = {Optical and Quantum Electronics}, number = {405}, title = {Multiscale simulations of uni-polar hole transport in (In,Ga)N quantum well systems}, volume = {54}, year = {2022}, doi = {10.1007/s11082-022-03752-2}, } @article{Farrell2021, author = {P. Farrell and S. Kayser and N. Rotundo}, journal = {Computer and Mathematics with Applications}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.2784}{WIAS preprint 2784}}, pages = {248--260}, title = {Modeling and simulation of the lateral photovoltage scanning method}, volume = {102}, year = {2021}, doi = {10.1016/j.camwa.2021.10.017}, } @article{Kayser2021, author = {Stefan Kayser and Nella Rotundo and Natasha Dropka and Patricio Farrell}, journal = {Journal of Crystal Growth}, pages = {126248}, title = {Assessing doping inhomogeneities in GaAs crystal via simulations of lateral photovoltage scanning method}, volume = {571}, year = {2021}, doi = {10.1016/j.jcrysgro.2021.126248}, } @article{ODonovan2021, author = {Michael O'Donovan and Debapriya Chaudhuri and Timo Streckenbach and Patricio Farrell and Stefan Schulz and Thomas Koprucki}, journal = {Journal of Applied Physics}, number = {6}, pages = {065702}, title = {From atomistic tight binding theory to macroscale drift diffusion: multiscale modeling and numerical simulation of uni-polar charge transport in (In,Ga)N devices with random fluctuations}, volume = {130}, year = {2021}, doi = {10.1063/5.0059014}, } @article{Abdel2021, author = {D. Abdel and P. Vagner and J. Fuhrmann and P. Farrell}, journal = {Electrochimica Acta}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.2780}{WIAS preprint 2780}}, pages = {138696}, title = {Modelling charge transport in perovskite solar cells: Potential-based and limiting ion vacancy depletion}, volume = {390}, year = {2021}, doi = {10.1016/j.electacta.2021.138696}, } @article{Chaudhuri2021, author = {D. Chaudhuri and M. O'Donovan and T. Streckenbach and O. Marquardt and P. Farrell and S. K. Patra and T. Koprucki and S. Schulz}, journal = {Journal of Applied Physics}, pages = {073104}, title = {Multiscale simulations of the electronic structure of III-nitride quantum wells with varied Indium content: Connecting atomistic and continuum-based models}, volume = {129}, year = {2021}, doi = {10.1063/5.0031514}, } @article{Kayser2020b, author = {S. Kayser and P. Farrell and N. Rotundo}, journal = {Optical and Quantum Electronics}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.2785}{WIAS preprint 2785}}, pages = {288}, title = {Detecting striations via the lateral photovoltage scanning method without screening effect}, volume = {53}, year = {2021}, doi = {10.1007/s11082-021-02911-1}, } @article{Abdel2020b, author = {D. Abdel and P. Farrell and J. Fuhrmann}, journal = {Optical and Quantum Electronics}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.2787}{WIAS preprint 2787}}, number = {163}, title = {Assessing the quality of the excess chemical potential flux scheme for degenerate semiconductor device simulation}, volume = {53}, year = {2021}, doi = {10.1007/s11082-021-02803-4}, } @article{Selmer2018b, author = {Ilka Selmer and Patricio Farrell and Irina Smirnova and Pavel Gurikov}, journal = {Gels}, number = {45}, title = {Comparison of Finite Difference and Finite Volume Simulations for a Sc-Drying Mass Transport Model}, volume = {6}, year = {2020}, doi = {10.3390/gels6040045}, } @article{Farrell2018, author = {Patricio Farrell and Dirk Peschka}, journal = {Computers and Mathematics with Applications}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.2486}{WIAS preprint 2486}}, pages = {3731-3747}, title = {Nonlinear diffusion, boundary layers and nonsmoothness: Analysis of challenges in drift-diffusion semiconductor simulations}, year = {2019}, doi = {j.camwa.2019.06.007}, } @article{Patriarca2018, author = {Matteo Patriarca and Patricio Farrell and J{\"u}rgen Fuhrmann and Thomas Koprucki}, journal = {Computer Physics Communications}, note = {\href{https://doi.org/10.20347/WIAS.PREPRINT.2498}{WIAS preprint 2498}}, pages = {40--49}, title = {Highly Accurate Quadrature-based {S}charfetter-{G}ummel Schemes for Charge Transport in Degenerate Semiconductors}, volume = {235}, year = {2018}, doi = {10.1016/j.cpc.2018.10.004}, } @article{Selmer2018, author = {Ilka Selmer and Anna-Sophia Behnecke and Patricio Farrell and Alberto Bueno Morales and Pavel Gurikov and Irina Smirnova}, journal = {Journal of Supercritical Fluids}, pages = {149-161}, title = {Model development for sc-drying kinetics of aerogels: Part 2. Packed bed of spherical particles}, volume = {147}, year = {2018}, doi = {10.1016/j.supflu.2018.07.006}, } @article{Farrell2017e, author = {Patricio Farrell and Matteo Patriarca and J{\"u}rgen Fuhrmann and Thomas Koprucki}, journal = {Optical and Quantum Electronics}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.2424}{WIAS preprint 2424}}, number = {101}, title = {Comparison of Thermodynamically Consistent Charge Carrier Flux Discretizations for {F}ermi-{D}irac and {G}auss-{F}ermi Statistics}, volume = {50}, year = {2018}, doi = {10.1007/s11082-018-1349-8}, } @article{Farrell2017b, author = {Farrell, Patricio and Linke, Alexander}, journal = {Journal of Scientific Computing}, note = {\href{https://doi.org/10.20347/WIAS.PREPRINT.2286}{WIAS preprint 2286}}, number = {1}, pages = {373-395}, title = {Uniform Second Order Convergence of a Complete Flux Scheme on Unstructured 1D Grids for a Singularly Perturbed Advection--Diffusion Equation and Some Multidimensional Extensions}, volume = {72}, year = {2017}, doi = {10.1007/s10915-017-0361-7}, } @article{Dassi2017b, author = {Franco Dassi and Lennard Kamenski and Patricio Farrell and Hang Si}, journal = {Computer-Aided Design}, note = {\href{http://doi.org/10.20347/WIAS.PREPRINT.2373}{WIAS preprint 2373}}, title = {Tetrahedral Mesh Improvement Using Moving Mesh Smoothing, Lazy Searching Flips, and RBF Surface Reconstruction}, year = {2017}, doi = {10.1016/j.cad.2017.11.010}, } @article{Farrell2017c-duplicate, author = {Patricio Farrell and Thomas Koprucki and J{\"u}rgen Fuhrmann}, journal = {Journal of Computational Physics}, note = {\href{https://doi.org/10.20347/WIAS.PREPRINT.2331}{WIAS preprint 2331}}, pages = {497-513}, title = {Computational and Analytical Comparison of Flux Discretizations for the Semiconductor Device Equations}, volume = {346}, year = {2017}, doi = {10.1016/j.jcp.2017.06.023}, } @article{Dassi2017, author = {Franco Dassi and Patricio Farrell and Hang Si}, journal = {{SIAM} Journal on Scientific Computing}, note = {\href{https://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2016&number=2265}{WIAS preprint 2265}}, number = {3}, pages = {B522-B547}, title = {A Novel Surface Remeshing Scheme via Radial Basis Functions and Higher-Dimensional Embedding}, volume = {39}, year = {2017}, doi = {10.1137/16m1077015}, } @article{Farrell2016b, author = {Patricio Farrell and Kathryn Gillow and Holger Wendland}, journal = {IMA Journal of Numerical Analysis}, note = {\href{https://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=&number=2096}{WIAS preprint 2096}}, number = {1}, pages = {332-353}, title = {Multilevel Interpolation of Divergence-Free Vector Fields}, volume = {37}, year = {2017}, doi = {10.1093/imanum/drw006}, } @article{Dassi2016, author = {Franco Dassi and Patricio Farrell and Hang Si}, journal = {Procedia Engineering}, pages = {72-83}, title = {An Anisoptropic Surface Remeshing Strategy Combining Higher Dimensional Embedding with Radial Basis Functions}, volume = {164}, year = {2016}, doi = {10.1016/j.proeng.2016.11.022}, } @article{Farrell2015, author = {Farrell, P. and Pestana, Jennifer}, journal = {Numerical Linear Algebra with Applications}, note = {\href{https://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2014&number=2037}{WIAS preprint 2037}}, pages = {731-747}, title = {Block Preconditioners for Linear Systems arising from Multiscale Collocation with Compactly Supported {RBF}s}, volume = {22}, year = {2015}, doi = {10.1002/nla.1984}, issn = {1099-1506}, } @article{Koprucki2015, author = {Koprucki, Thomas and Rotundo, Nella and Farrell, Patricio and Doan, Duy Hai and Fuhrmann, J{\"u}rgen}, journal = {Optical and Quantum Electronics}, note = {\href{https://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=&number=2013}{WIAS preprint 2013}}, number = {6}, pages = {1327-1332}, title = {On Thermodynamic Consistency of a {S}charfetter-{G}ummel Scheme Based on a Modified Thermal Voltage for Drift-Diffusion Equations with Diffusion Enhancement}, volume = {47}, year = {2015}, doi = {10.1007/s11082-014-0050-9}, } @article{Farrell2013, author = {Farrell, Patricio and Wendland, Holger}, journal = {SIAM Journal on Numerical Analysis}, note = {\href{http://eprints.maths.ox.ac.uk/1720/1/finalOR22.pdf}{OCCAM preprint 13/22}}, number = {4}, pages = {2403-2425}, title = {{RBF} {M}ultiscale {C}ollocation for {S}econd {O}rder {E}lliptic {B}oundary {V}alue {P}roblems}, volume = {51}, year = {2013}, doi = {10.1137/120898383}, } @article{Farrell2023, author = {Patricio Farrell}, journal = {Habilitation thesis}, school = {Freie Universit{\"a}t Berlin}, title = {Drift-diffusion models for innovative semiconductor devices and their numerical solution}, year = {2023}, doi = {10.17169/refubium-37657}, } @incollection{Farrell2017, author = {Patricio Farrell and Nella Rotundo and Duy Hai Doan and Markus Kantner and J{\"u}rgen Fuhrmann and Thomas Koprucki}, booktitle = {Handbook of Optoelectronic Device Modeling and Simulation}, chapter = {50}, editor = {Joachim Piprek}, note = {\href{http://www.wias-berlin.de/preprint/2263/wias_preprints_2263_20160708.pdf}{WIAS preprint 2263}}, pages = {733-771}, publisher = {CRC Press}, title = {Mathematical Methods: Drift-Diffusion Models}, volume = {2}, year = {2017}, doi = {10.4324/9781315152318}, } @incollection{Farrell2017f, author = {Patricio Farrell}, booktitle = {Material Effects -- Product Designs, Photographs, Experiments}, editor = {Linda Pense}, pages = {138--143}, publisher = {Jovis}, title = {Silicon - An Electronic Hybrid}, year = {2018}, } @phdthesis{Farrell2014, author = {Patricio Farrell}, note = {\href{https://ora.ox.ac.uk/objects/uuid:9fd99f0f-2556-41eb-8bcd-5b9256296a17}{Thesis}}, school = {University of Oxford}, title = {Multilevel Collocation with Radial Basis Functions}, year = {2014}, abstract = {In this thesis, we analyse multilevel collocation methods involving compactly supported radial basis functions. We focus on linear second-order elliptic bound- ary value problems as well as Darcy's problem. While in the former case we use scalar-valued positive definite functions for constructing multilevel approxi- mants, in the latter case we use matrix-valued functions that are automatically divergence-free. A similar result is presented for interpolating divergence-free vector fields. Even though it had been observed more than a decade ago that the stationary setting, i.e. when the support radii shrink as fast as the mesh norm, does not lead to convergence, it was up to now an open question how the support radii should depend on the mesh norm to ensure convergence. For each case above, we answer this question here thoroughly. Furthermore, we analyse and improve the stability of the linear systems. And lastly, we examine the case when the approximant does not lie in the same space as the solution to the PDE.}, } @misc{Farrell2010, author = {Patricio Farrell}, howpublished = {Diplom thesis, University of Hamburg}, title = {Algebraic Image Reconstruction in Computed Tomography with Radial Basis Functions}, year = {2010}, } @inproceedings{Hadjimichael2022, author = {Hadjimichael, Y. and Marquardt, O. and Merdon, C. and Farrell, P.}, booktitle = {2022 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {119-120}, publisher = {IEEE}, title = {Band structures in highly strained 3D nanowires}, year = {2022}, doi = {10.1109/NUSOD54938.2022.9894837}, } @inproceedings{Abdel2022, author = {Abdel, Dilara and Courtier, Nicola and Farrell, Patricio}, booktitle = {2022 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {107-108}, publisher = {IEEE}, title = {Volume exclusion effects in perovskite charge transport modeling}, year = {2022}, doi = {10.1109/NUSOD54938.2022.9894826}, } @inproceedings{Piani2022b, author = {Piani, S. and Lei, W. and Heltai, L. and Rotundo, N. and Farrell, P.}, booktitle = {2022 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {109-110}, publisher = {IEEE}, title = {Data-driven doping reconstruction}, year = {2022}, doi = {10.1109/NUSOD54938.2022.9894774}, } @inproceedings{ODonovan2022c, author = {O'Donovan, Michael and Farrell, Patricio and Streckenbach, Timo and Koprucki, Thomas and Schulz, Stefan}, booktitle = {2022 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {97-98}, publisher = {IEEE}, title = {Carrier transport in (In,Ga)N quantum well systems: Connecting atomistic tight-binding electronic structure theory to drift-diffusion simulations}, year = {2022}, doi = {10.1109/NUSOD54938.2022.9894745}, } @inproceedings{Moatti2022, author = {Moatti, Julien and Farrell, Patricio}, booktitle = {2022 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {103-104}, publisher = {IEEE}, title = {Comparison of flux discretizations for varying band edge energies}, year = {2022}, doi = {10.1109/NUSOD54938.2022.9894742}, } @inproceedings{Schulz2021, author = {Schulz, S. and O'Donovan, M. and Chaudhuri, D. and Patra, S. K. and Farrell, P. and Marquardt, O. and Streckenbach, T. and Koprucki, T.}, booktitle = {2021 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {135-136}, publisher = {IEEE}, title = {Connecting atomistic and continuum models for (In,Ga)N quantum wells: From tight-binding energy landscapes to electronic structure and carrier transport}, year = {2021}, doi = {10.1109/NUSOD52207.2021.9541461}, } @article{Schulz2020, author = {S. Schulz and D. Chaudhuri and M. O'Donovana and S. K. Patra and T. Streckenbach and P. Farrell and O. Marquardt and T. Koprucki}, journal = {SPIE Photonics West}, pages = {157 -- 166}, title = {Multi-scale modeling of electronic, optical, and transport properties of III-N alloys and heterostructures}, volume = {11274}, year = {2020}, doi = {10.1117/12.2551055}, } @inproceedings{Kayser2020d, author = {S. {Kayser} and N. {Rotundo} and J. {Fuhrmann} and N. {Dropka} and P. {Farrell}}, booktitle = {2020 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {49-50}, publisher = {IEEE}, title = {The lateral photovoltage scanning method ({LPS}): Understanding doping variations in silicon crystals}, year = {2020}, doi = {10.1109/NUSOD49422.2020.9217779}, } @inproceedings{Abdel2020, author = {Abdel, Dilara and Fuhrmann, J{\"u}rgen and Farrell, Patricio}, booktitle = {2020 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, pages = {107-108}, publisher = {IEEE}, title = {Comparison of Scharfetter-Gummel Schemes for (Non-)Degenerate Semiconductor Device Simulation}, year = {2020}, doi = {10.1109/NUSOD49422.2020.9217691}, } @inproceedings{Lubbering2019, author = {Max L{\"{u}}bbering and Julian Kunkel and Patricio Farrell}, booktitle = {Proceedings of the Conference on "Lernen, Wissen, Daten, Analysen", Berlin, Germany, September 30 - October 2, 2019}, pages = {353--364}, title = {What Company Does My News Article Refer to? Tackling Multi Class Problems With Topic Modeling}, year = {2019}, biburl = {https://dblp.org/rec/bib/conf/lwa/LubberingKF19}, bibsource = {dblp computer science bibliography, https://dblp.org}, doi = {10.20347/WIAS.PREPRINT.2621}, timestamp = {Wed, 25 Sep 2019 17:11:16 +0200}, } @inproceedings{Koprucki2019, author = {Koprucki, Thomas and Streckenbach, T. and Farrell, Patricio and Marquardt, Oliver and Chaudhuri, Debapriya and O'Donovan, M. and Patra, Saroj and Schulz, Stefan}, booktitle = {19th International Conference on Numerical Simulation of Optoelectronic Devices}, month = {07}, title = {Towards multiscale modeling of III-N-based LEDs}, year = {2019}, } @inproceedings{Patriarca2018b, author = {Patriarca, Matteo and Farrell, Patricio and Koprucki, Thomas and Auf der Maur, Matthias}, booktitle = {2018 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, month = {11}, pages = {53-54}, publisher = {IEEE}, title = {Highly Accurate Discretizations for non-Boltzmann Charge Transport in Semiconductors}, year = {2018}, doi = {10.1109/NUSOD.2018.8570265}, } @inproceedings{Farrell2017d, author = {Patricio Farrell and Thomas Koprucki and J{\"u}rgen Fuhrmann}, booktitle = {2017 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)}, editor = {J. Piprek and M. Willatzen}, pages = {219-220}, publisher = {IEEE}, title = {Comparison of Consistent Flux Discretizations for Drift Diffusion beyond Boltzmann Statistics}, year = {2017}, doi = {10.1109/NUSOD.2017.8010070}, } @article{Farrell2017g, author = {Patricio Farrell and Alexander Linke}, editor = {Cl{\'e}ment Canc{\`e}s and Pascal Omnes}, journal = {Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects, Cl{\'e}ment Canc{\`e}s and Pascal Omnes (eds.)}, pages = {303-311}, title = {Uniform Second Order Convergence of a Complete Flux Scheme on Nonuniform 1D Grids}, year = {2017}, } @inproceedings{Farrell2016c, address = {Berlin}, author = {Farrell, Patricio and Koprucki, Thomas and Fuhrmann, J\"urgen}, booktitle = {Progress in Industrial Mathematics at ECMI 2016}, editor = {Quintela, Peregrina and Barral, Patricia and G\'omez, Dolores and Pena, Francisco J. and Rodr\'iguez, Jer\'onimo and Salgado, Pilar and V\'azquez-M{\'e}ndez, Miguel E.}, pages = {91--97}, publisher = {Springer}, title = {Comparison of Scharfetter-Gummel Flux Discretizations Under Blakemore Statistics}, year = {2017}, abstract = {We discretize the semiconductor device equations assuming a Blakemore distribution function using a finite volume scheme and compare three thermodynamically consistent Scharfetter-Gummel type flux discretizations, namely the exact solution to a two-point boundary value probem and two fluxes incorporating certain averages. In order to do this, we simulate an n-i-n semiconductor device and study the electron densities as well as the total current. While the diffusion-enhanced flux approximation using logarithmic averaging of the nonlinear diffusion enhancement behaves somewhat similarly to the exact solution of the two-point boundary value problem (the generalized Scharfetter-Gummel scheme), the scheme based on averaging the inverse activity coefficients scheme exhibits a noticeably different behavior.}, doi = {10.1007/978-3-319-63082-3\_13}, isbn = {978-3-319-63082-3}, } @techreport{ChargeTransport, author = {D. Abdel and P. Farrell and J. Fuhrmann}, institution = {\url{https://github.com/PatricioFarrell/ChargeTransport.jl}}, type = {Version: 0.2.8}, title = {ChargeTransport.jl}, year = {2023}, } @techreport{ddfermi, author = {Doan, D. H. and Farrell, P. and Fuhrmann, J. and Kantner, M. and Koprucki, T. and Rotundo, N.}, institution = {Weierstrass Institute (WIAS)}, type = {Version: 0.1.0}, title = {ddfermi -- a drift-diffusion simulation tool}, year = {2018}, doi = {10.20347/WIAS.SOFTWARE.14}, }