Dr. Christoph Lehrenfeld

See also my current homepage at TU Vienna


  • Member of the DFG priority program SPP 1506
  • Numerical methods for PDEs
  • fluid dynamics, two-phase flows, interface problems
  • Finite Elements, (Hybrid) Discontinuous Galerkin methods, eXtended Finite Elements, Space-Time Finite Elements
  • software development (ngsflow, DROPS package)

Recent work

  • Christoph Lehrenfeld, Arnold Reusken, Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport ,
    to appear in Computational Methods for Complex Liquid-Fluid Interfaces - Vol. 7 of "Progress in Colloid and Interface Science" (Taylor&Francis) preprint: [pdf]
  • Christoph Lehrenfeld, Arnold Reusken, Optimal preconditioners for Nitsche-XFEM discretizations of interface problems ,
    submitted to Numerische Mathematik, arxiv:1408.2940, preprint: [pdf]

Journal Publications

Book Chapters

  • Joachim Schöberl , Christoph Lehrenfeld: Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes ,
    Published in: Lecture Notes in Applied and Computational Mechanics, 2013, Volume 66, Advanced Finite Element Methods and Applications, pp. 27-56. DOI: 10.1007/978-3-642-30316-6_2, preprint: [ps.gz] [pdf]
  • Christoph Koutschan, Christoph Lehrenfeld, Joachim Schöberl : Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations ,
    Published in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer, Peter Paule (ed.), pp. 105-122. 2011. Springer, Wien, arxiv:1104.4208. preprint: [pdf] [bib]



  • Christoph Lehrenfeld: Hybrid Discontinuous Galerkin methods for incompressible flow problems. diploma thesis, MathCCES/IGPM, RWTH Aachen, 2010. [pdf]


Conference contributions

  • Christoph Lehrenfeld: Two-Phase Flow Benchmark Computations using Level-Set based FEM
    Presented at GAMM 2013, Novi Sad, Serbia, March 19, 2013.
  • Christoph Lehrenfeld, Joachim Schöberl : Domain Decomposition Preconditioners for High Order Hybrid Discontinuous Galerkin Methods
    Presented at DD21, Rennes, France, June 27, 2012. [pdf]
  • Christoph Lehrenfeld, Arnold Reusken: Streamline Diffusion Stabilisation for mass transport in two phase incompressible flows
    Presented at International Workshop: Transport Processes at Fluidic Interfaces - from Experimental to Mathematical Analysis, Aachen, Germany, December 7, 2011. [pdf]
    (video 1: [avi] , video 2: [avi] )
  • Christoph Lehrenfeld, Arnold Reusken: Nitsche-XFEM for a transport problem in two-phase incompressible flows
    Presented at GAMM 2011, Graz, Austria, April 20, 2011.
  • Christoph Lehrenfeld, Joachim Schöberl : Efficient High Order DG Method for Time-domain Maxwells Equations
    Presented at MAFELAP 2009, London, Great Britain, June 11, 2009. [pdf]

Other talks (Seminar talks, Workshops,..)

  • Christoph Lehrenfeld, Arnold Reusken: Numerical Methods for Two-Phase Flows with Mass Transport
    Presented at TU Vienna, Vienna, Austria, March 12, 2013. [pdf]
  • Christoph Lehrenfeld, Arnold Reusken: Discontinuous Galerkin Space-Time Finite Element method for two-phase mass transport
    Presented at IGPM Seminar week, Luxembourg, September 6, 2012. [pdf] (video: [avi] )
  • Christoph Lehrenfeld, Joachim Schöberl : An operator splitted Hybrid DG - DG method for solving incompressible Navier Stokes equations
    Presented at TU Vienna, Vienna, Austria, April 14, 2011. [pdf]
  • Christoph Lehrenfeld, Joachim Schöberl : Hybrid Discontinuous Galerkin methods for incompressible flow problems
    Presented at DG Workshop, Linz, Austria, May 31 - June 1, 2010. [pdf]
  • Christoph Lehrenfeld, Joachim Schöberl : Advanced Higher Order Finite Elements - From Theory to Application with Netgen/NGSolve
    Presented at SCAIM Seminar, University of British Columbia, Vancouver, Canada, November 10, 2009. [pdf]


  • WS 14/15: Seminar zur Numerischen Analysis
  • SS 13: Numerische Mathematik für Maschinenbauer
  • SS 11/WS 11/12: Supervision of Bachelor theses
  • SS 09: (Project Supervision): Advanced Finite Element Methods
  • SS 08: (Selbstrechenübung): Mathematische Grundlagen II für CES