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  4. Dr. Stefan Metzger

Dr. Stefan Metzger

In page navigation: Applied Mathematics 1
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Dr. Stefan Metzger

Dr. Stefan Metzger

Dr. Stefan Metzger
(AG Grün)

Department of Mathematics
Chair of Applied Mathematics (Modeling and Numerics) (Prof. Dr. Burger)

Room: Raum 04.385
Cauerstraße 11
91058 Erlangen
  • Phone number: +49 9131 85-67241
  • Fax number: +49 9131 85-67225
  • Email: metzger@math.fau.de

Homepage: https://en.www.math.fau.de/angewandte-mathematik-1/mitarbeiter/dr-stefan-metzger/

Curriculum Vitae

Short Curriculum Vitae

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

Research

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.

Publications

2022

  • Metzger S., Grün G.:
    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
    BibTeX: Download

2021

  • Knopf P., Lam KF., Liu C., Metzger S.:
    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
    BibTeX: Download
  • Metzger S.:
    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
    BibTeX: Download
  • Metzger S., Knabner P.:
    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
    BibTeX: Download

2020

  • Metzger S.:
    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
    BibTeX: Download
  • Metzger S.:
    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
    BibTeX: Download
  • Rybak I., Metzger S.:
    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
    BibTeX: Download

2019

  • Metzger S.:
    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
    BibTeX: Download
  • Metzger S.:
    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
    BibTeX: Download

2017

  • Grün G., Metzger S.:
    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)
    BibTeX: Download
  • Grün G., Metzger S., Abels H., Garcke H.:
    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)
    BibTeX: Download

2016

  • Grün G., Guillen-Gonzalez F., Metzger S.:
    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
    BibTeX: Download
  • Grün G., Metzger S.:
    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
    BibTeX: Download

2015

  • Metzger S.:
    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
    BibTeX: Download
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