Dr. Philip Brandner

Institut für Geometrie und Praktische Mathematik
RWTH Aachen
Templergraben 55
52056 Aachen

Hauptgebäude 235
+49 241 80-97068

Current Position

Since November 2017, I am a research associate and doctoral student at the IGPM under the supervision of Prof. Dr. Arnold Reusken.

Research Interests

  • Numerical methods for partial differential equations on surfaces
  • Surface Navier-Stokes equations
  • Stream function formulation
  • Finite element methods


  1. P. Brandner: Numerical methods for surface Navier-Stokes equations in stream function formulation
    Dissertation in Mathematik, RWTH Aachen University, 2022.
  2. E. Bachini, P. Brandner, T. Jankuhn, M. Nestler, S. Praetorius, A. Reusken, A. Voigt: Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
    arXiv e-prints, 2205.12581 [math.NA], 2022.
  3. P. Brandner, A. Reusken, P. Schwering: On derivations of evolving surface Navier-Stokes equations
    Interfaces and Free Boundaries (accepted), 2022.
    IGPM report 518, RWTH Aachen University, 2021.
  4. P. Brandner, T. Jankuhn, S. Praetorius, A. Reusken, A. Voigt: Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
    SIAM Journal on Scientific Computing, 44:4, A1807-A1832, 2022, DOI: 10.1137/21M1403126
    IGPM report 512, RWTH Aachen University, 2021.
  5. P. Brandner, A. Reusken: Finite element error analysis of surface Stokes equations in stream function formulation
    ESAIM: Mathematical Modelling and Numerical Analysis, 54(6):2069-2097, 2020, DOI: 10.1051/m2an/2020044
    IGPM report 493, RWTH Aachen University, 2019.


  • SoSe 2022: Numerische Analysis II
  • WS 2021/2022: Numerische Mathematik für Elektrotechniker
  • WS 2020/2021: Numerische Methoden für Zweiphasenströmungen II
  • SoSe 2020: Numerische Methoden für Zweiphasenströmungen I
  • WS 2019/2020: Numerische Analysis IV
  • SoSe 2019: Mathematisches Praktikum
  • WS 2018/2019: Numerische Analysis III
  • SoSe 2018: Numerische Analysis II
  • WS 2017/2018: Numerische Analysis I

Master's Thesis

I wrote my master's thesis in 2017 at the IGPM under the supervision of Prof. Dr. Arnold Reusken .

Title: The surface Stokes equations in stream function formulation