Computational PDEs

Prof. Dr. Christoph Lehrenfeld

Institut für Numerische und Angewandte Mathematik
Lotzestraße 16-18
D-37083 Göttingen
Room 104
phone: +49 (0)551 39 24565
fax: +49 (0)551 39 33944
email: lehrenfeld-at-math.uni-goettingen.de
PGP public key

Short CV

  • Positions
    • 09/2020 - today: Professor(W2) at University of Göttingen
    • 09/2016 - 08/2020: Junior professor at University of Göttingen
    • 09/2015 - 08/2016: Postdoctoral Fellow at University of Münster
    • 03/2015 - 08/2015: Postdoctoral Fellow at TU Wien
    • 10/2010 - 02/2015: Research Associate at RWTH Aachen
    • 06/2010 - 09/2010: Research Associate at TU Wien
  • Education
    • 2010 - 2015: Doctorate in Mathematics at RWTH Aachen
    • 2005 - 2010: Diploma in Computational Engineering Science at RWTH Aachen

Research interests

  • Numerical methods for PDEs (Finite Elements)
  • Advanced Finite Element Methods:
    • Unfitted Finite Element Methods (XFEM/CutFEM/..)
    • Space-Time Finite Element Methods for evolving domains
    • High Order Finite Element Methods
    • Hybrid Discontinuous Galerkin Methods
  • Applications:
    • fluid dynamics
    • interface problems
    • problems involving moving domains

Publications: see here

Teaching: see here

Software

  • Netgen/NGSolve is a mesh generator and a high performance multiphysics finite element software that I mainly work with
  • ngsxfem is an Add-On library to Netgen/NGSolve which adds the essential features to implement geometrically unfitted FEM
  • ngsxfem-jupyter contains several tutorials to get started with ngsxfem

Profiles

Media

  • You can find some simulation videos on youtube