Felix Gruber, M.Sc.

IGPM employee from December 2012 to June 2018
(Fingerprint: 70D0 D75F 03D2 7D44 9F78 E4AF 4531 4162 42BE F49C)

Former Position

From December 2012 to June 2018, I was a doctoral student at the IGPM under the supervision of Prof. Dr. Wolfgang Dahmen.

The topic of my thesis is the design of a stable formulation for radiative transfer problems. It is based on a Discontinuous Petrov–Galerkin formulation for the spatial discretization and a wavelet-based discretization in the transport direction.

Research Interests

  • Stability in finite element methods (specifically, Discontinuous Petrov–Galerkin)
  • Reduced basis methods
  • Sparse grids

Research Work

  • Development of a Discontinuous Petrov–Galerkin method for the radiative transfer equation (with Wolfgang Dahmen and Olga Mula)


  • F. Gruber, Adaptive Source Term Iteration: A Stable Formulation for Radiative Transfer, doctoral thesis, 2018. [URL] [PDF]
  • W. Dahmen, F. Gruber and O. Mula, An Adaptive Nested Source Term Iteration for Radiative Transfer Equations, 2018. arXiv:1810.07035v1
  • F. Gruber, A. Klewinghaus and O. Mula, The DUNE-DPG library for solving PDEs with Discontinuous Petrov–Galerkin finite elements, Archive of Numerical Software 5(1), 2017. DOI: 10.11588/ans.2017.1.27719 [PDF]
  • M. Blatt, A. Burchardt, A. Dedner, C. Engwer, J. Fahlke, B. Flemisch, C. Gersbacher, C. Gräser, F. Gruber, C. Grüninger, D. Kempf, R. Klöfkorn, T. Malkmus, S. Müthing, M. Nolte, M. Piatkowski and O. Sander, The Distributed and Unified Numerics Environment, Version 2.4, Archive of Numerical Software 4(100), 2016. DOI: 10.11588/ans.2016.100.26526 [PDF]


Programming Projects

Some of my contributions to free software projects can be found on my GitHub profile.

  • dune-dpg: A C++ library for solving transport dominated problems with the Discontinuous Petrov–Galerkin method (C++, Dune), joint work with Angela Klewinghaus and Olga Mula, IGPM, RWTH Aachen
  • Implementation of the Discontinuous Petrov–Galerkin method for simple transport problems (C++, deal.II), IGPM, RWTH Aachen
  • Implementation of a sparse grid library (C++), IGPM and AVT-PT, RWTH Aachen (funded as an RWTH Undergraduate Funds project)

Master's Thesis

I did my master's thesis in 2012 at the IGPM under the supervision of Prof. Dr. Wolfgang Dahmen.

Title: On the Stability of Discontinuous Petrov–Galerkin Methods


Most webpages of older courses have unfortunately been lost in a CMS migration. Some links have been replaced with links to partial copies at the Internet Archive.