Computational PDEs

Janosch Preuß (former member)

Institut für Numerische und Angewandte Mathematik
Lotzestraße 16-18
D-37083 Göttingen
Room 220

Janosch is now at UCL London.

Research interests

Currently I am mainly working on numerical methods for wave propagation in stratified media. This research is fueled by the challenging demands of computational helioseismology. The extreme conditions in the Sun amplify the classical problems of numerical wave propagation:

  • accurate discretization methods
  • transparent boundary conditions
  • efficient preconditioners for iterative methods

We are aiming to address these issues by developing so called learned infinite elements. These are special transparent boundary conditions which are learned from the stratified background medium to provide an optimal approximation of the Dirichlet-to-Neumann operator. Further, learned infinite elements could then serve as transmission conditions in a domain decomposition framework to construct efficient preconditioners.

My work is supervised by Christoph Lehrenfeld, Thorsten Hohage and Damien Fournier. Additionally, I am a member of the IMPRS for Solar System Science.

Conferences and workshops

Upcoming (planned)