Dr. Stefan Metzger
Prof. Stefan Metzger, (Lehrstuhlvertretung)
Department of Mathematics
Chair of Applied Mathematics (Modeling and Numerics) (N.N.)
Cauerstraße 11
91058 Erlangen
- Phone number: +49 9131 85-67226
- Fax number: +49 9131 85-67225
- Email: metzger@math.fau.de
Short Curriculum Vitae
| April 2025 | Completion of habilitation procedure Thesis: “Mathematics on the Microscale: Modeling, Analysis, and Simulation” Scientific mentors: Prof. Dr. Günther Grün (FAU Erlangen), Prof. Dr. Martin Burger (Universität Hamburg), Prof. Dr. Lubomir Banas (Universität Bielefeld) |
| Oct 2023 – September 2025 | Acting W3 professor for numerical mathematics at the Friedrich-Alexander-Universität Erlangen-Nürnberg |
| Since 2019 | PostDoc in Prof. Günther Grün’s group at the Friedrich-Alexander-Universität Erlangen-Nürnberg |
| 2019 – 2021 | Member of the GAMM Juniors |
| 2018 – 2019 | PostDoc in Prof. Chun Liu’s group at the Illinois Institute of Technology, Chicago, IL, USA |
| 2018 | Awardee of the ‘STAEDTLER Promotionspreis’ (prize for exceptional doctoral thesis awarded by the Staedtler Foundation, Nuremberg, Germany) |
| 2017 | PhD in mathematics (Dr. rer. nat.), Friedrich-Alexander-Universität Erlangen-Nürnberg, final grade: summa cum laude Thesis on ‘Diffuse interface models for complex flow scenarios: Modeling, analysis, and simulation’ (Supervisor: Prof. G. Grün) |
| 2013 | M.Sc. Mathematics, Friedrich-Alexander-Universität Erlangen-Nürnberg, final grade: 1.0 |
| 2011 | B.Sc. Technomathematics, Friedrich-Alexander-Universität Erlangen-Nürnberg, final grade: 1.3 |
| 2007 | Abitur, final grade: 1.0 |
My research primarily focuses on the derivation and (numerical) analysis of thermodynamically consistent models for complex flow problems. Thereby, I am in particular interested in
- nonlinear (multi-scale) partial differential equations,
- homogenization of multiphase flow,
- (degenerate) fourth order parabolic equations,
- stochastic partial differential equations.
I am also one of the main developers of the software package EconDrop.
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A convergent augmented SAV scheme for stochastic Cahn–Hilliard equations with dynamic boundary conditions describing contact line tension
In: Interfaces and Free Boundaries (2025)
ISSN: 1463-9963
DOI: 10.4171/IFB/540
BibTeX: Download - :
Strong error estimates for a fully discrete SAV scheme for the stochastic Allen-Cahn equation with multiplicative noise
In: Mathematical Modelling and Numerical Analysis (2025)
ISSN: 0764-583X
DOI: 10.1051/m2an/2025050
BibTeX: Download
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A convergent stochastic scalar auxiliary variable method
In: IMA Journal of Numerical Analysis (2024)
ISSN: 0272-4979
DOI: 10.1093/imanum/drae065
BibTeX: Download
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A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions
In: IMA Journal of Numerical Analysis (2023)
ISSN: 0272-4979
DOI: 10.1093/imanum/drac078
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Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions
In: Interfaces and Free Boundaries 24 (2022), p. 307-387
ISSN: 1463-9971
DOI: 10.4171/IFB/476
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Phase-field dynamics with transfer of materials: The Cahn–Hillard equation with reaction rate dependent dynamic boundary conditions
In: Mathematical Modelling and Numerical Analysis 55 (2021), p. 229-282
ISSN: 0764-583X
DOI: 10.1051/m2an/2020090
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An Efficient and Convergent Finite Element Scheme for Cahn-Hilliard Equations with Dynamic Boundary Conditions
In: SIAM Journal on Numerical Analysis 59 (2021), p. 219-248
ISSN: 0036-1429
DOI: 10.1137/19M1280740
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Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach
In: Multiscale Modeling & Simulation 19 (2021), p. 320-343
ISSN: 1540-3459
DOI: 10.1137/19M1287705
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A convergent finite element scheme for a fourth-order liquid crystal model
In: IMA Journal of Numerical Analysis (2020)
ISSN: 0272-4979
DOI: 10.1093/imanum/draa069
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On a novel approach for modeling liquid crystalline flows
In: Communications in Mathematical Sciences 18 (2020), p. 359-378
ISSN: 1539-6746
DOI: 10.4310/CMS.2020.v18.n2.a4
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A dimensionally reduced Stokes–Darcy model for fluid flow in fractured porous media
In: Applied Mathematics and Computation (2020)
ISSN: 0096-3003
DOI: 10.1016/j.amc.2020.125260
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ON CONVERGENT SCHEMES FOR TWO-PHASE FLOW OF DILUTE POLYMERIC SOLUTIONS
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 52 (2019), p. 2357-2408
ISSN: 0764-583X
DOI: 10.1051/m2an/2018042
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On stable, dissipation reducing splitting schemes for two-phase flow of electrolyte solutions
In: Numerical Algorithms 80 (2019), p. 1361-1390
ISSN: 1017-1398
DOI: 10.1007/s11075-018-0530-2
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Micro-macro-models for two-phase flow of dilute polymeric solutions: macroscopic limit, analysis, numerics
In: Advances in Mathematical Fluid Mechanics, Springer, 2017, p. 291-303 (Transport processes at fluidic interfaces)
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Diffuse interface models for incompressible two-phase flows with different densities
In: Advances in Mathematical Fluid Mechanics, springer, 2017, p. 203-229 (Transport processes at fluidic interface)
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On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities
In: Communications in Computational Physics 19 (2016), p. 1473-1502
ISSN: 1815-2406
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On micro-macro-models for two-phase flow with dilute polymeric solutions -- modeling and analysis
In: Mathematical Models & Methods in Applied Sciences 26 (2016), p. 823-866
ISSN: 0218-2025
DOI: 10.1142/S0218202516500196
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On numerical schemes for phase-field models for electrowetting with electrolyte solutions
In: Proceedings in Applied Mathematics and Mechanics 15 (2015), p. 715-718
ISSN: 1617-7061
DOI: 10.1002/pamm.201510346
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