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Computational Mathematics


Computational Mathematics

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STEFAN KARPINSKI

Stefan KarpinskiDr. Stefan Karpinski

 

Hasselt University
Faculty of Sciences
Discipline group Mathematics and statistics
Research group Computational mathematics


Numerical methods for partial differential equations:

  • Discontinuous Galerkin methods: convergence, error estimates
  • Linear iterative schemes
  • Scientific computing

Applications:

  • Flow in porous media: unsaturated, two-phase, non-standard models, dynamic capillarity
  • Hererogeneous media

Studies

Hasselt University, Faculty of Sciences

Ph.D. in Mathematics (May 11th, 2017)

University of Erlangen Nuremberg, Faculty of Science I, Mathematics

Diplom Technomathematiker Univ. ( April 4th, 2011)

Minor: Electrical Engineering, Computer Science
 

Work experience

May 2011 – March 2014: Scientific Employee, Technical University of Munich, Chair for Numerical Mathematics

July 2014 – now: Engineering Consultant, Esprit Engineering GmbH, Munich Germany

Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two phase flow in porous media with dynamic capillarity effects, Internat. J. Numer. Methods Engrg. (accepted), with I.S. Pop and F.A. Radu (see also Hasselt University CMAT Report UP-16-05).

Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillarity effectsNumer. Math. Vol. 136 (2017), pp. 249-286, with I.S. Pop (also see CASA Report 15-27, Eindhoven University of Technology). 

 

Ph. D. Thesis: Numerical analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in heterogeneous porous media with discontinuous dynamic capillary pressure effects, Hasselt University, Faculty of Sciences, May 2017