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

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

Selected Talks (to be updated at some point):

Rennes 2012/06 (DD21), BDDC Preconditioning for HDG slides
Egmond an Zee 2019/10 (ENUMATH), H(div)-conf. flows on surfaces slides
Hannover 2020/01, H(div)-conf. methods for flows slides
Oslo 2022/06, Unfitted mixed FEM slides
Leeds 2022/11, Unfitted time discretization slides
Göttingen 2022/03, Computational Helioseismology slides
Aachen 2022/08 (GAMM), Embedded Trefftz DG slides
Hamburg 2022/11, Unfitted space-time methods slides
Magdeburg 2024/03 (GAMM), Trefftz DG for Stokes slides
Oaxaca 2024/05 (Banff), unfitted Trefftz DG slides
Vienna 2024/06 (NGSolve User Meeting), ngsxfem slides
Hamburg 2024/11 (on Trefftz-like methods) slides

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