Difference between revisions of "Christoph Lehrenfeld"
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Email: [mailto:christoph.lehrenfeld@gmail.comNOSPAMPLEASE christoph.lehrenfeld@gmail.com] <br /> | Email: [mailto:christoph.lehrenfeld@gmail.comNOSPAMPLEASE christoph.lehrenfeld@gmail.com] <br /> | ||
Homepage: [http://www.asc.tuwien.ac.at/~lehrenfeld http://www.asc.tuwien.ac.at/~lehrenfeld] | Homepage: [http://www.asc.tuwien.ac.at/~lehrenfeld http://www.asc.tuwien.ac.at/~lehrenfeld] | ||
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Revision as of 09:49, 27 June 2015
Dr. rer. nat. Christoph Lehrenfeld
ContactInstitute for Analysis and Scientific Computing Room: DA 03 K22 |
Research Interests |
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Publications
Recent work
- C. Lehrenfeld, "On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems", Ph.D. thesis, IGPM, RWTH Aachen, 2015, pdf(A4), pdf(A5)
- C. Lehrenfeld, A. 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
- C. Lehrenfeld, A. Reusken: "Optimal preconditioners for Nitsche-XFEM discretizations of interface problems", submitted to Numerische Mathematik, 2014, arxiv:1408.2940, preprint
Journal Publications
- C. Lehrenfeld: "The Nitsche XFEM-DG space-time method and its implementation in three space dimensions", SIAM Journal on Scientific Computing, 2015, Volume 37, No. 1, pp. A245-A270, DOI: 10.1137/130943534, ps.gz, pdf
- H. Marschall, S. Boden, C. Lehrenfeld, , C. Falconi Delgado, U.Hampel, A. Reusken, M. Wörner, D. Bothe: "Validation of Interface Capturing and Tracking Techniques with different Surface Tension Treatments against a Taylor Bubble Benchmark problem", Computers & Fluids, 2014, DOI: 10.1137/120875260, pdf
- C. Lehrenfeld, A. Reusken: "Analysis of a DG-XFEM Discretization for a class of two-phase mass transport problems", SIAM Journal on Numerical Analysis, 2013, Volume 51, No. 2, pp. 958-983, DOI: 10.1137/120875260, ps.gz, pdf
- C. Lehrenfeld, A. Reusken: "Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem", SIAM Journal on Scientific Computing, 2012, Volume 34, No. 5, pp. A2740-A2759, DOI: 10.1137/110855235, ps.gz, pdf
Book Chapters
- J. Schöberl, C. Lehrenfeld: "Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes", 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, ps.gz, pdf
- C. Koutschan, C. Lehrenfeld, J. Schöberl, "Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations", Numerical and Symbolic Scientific Computing: Progress and Prospects, Ulrich Langer, Peter Paule (ed.), pp. 105-122, 2011, Springer, Wien, DOI: 10.1007/978-3-7091-0794-2_6, arxiv:1104.4208, preprint, bib
Proceedings
- S. Aland, C. Lehrenfeld, H. Marschall, C. Meyer, S. Weller, "Accuracy of two-phase flow simulations", Proceedings in Applied Mathematics and Mechanics (PAMM) 2013, Volume 13, pp. 595-598, DOI: 10.1002/pamm.201110296, pdf
- C. Lehrenfeld, "Nitsche-XFEM for a transport problem in two-phase incompressible flows", Proceedings in Applied Mathematics and Mechanics (PAMM) 2011, Volume 11, pp. 613-614, DOI: 10.1002/pamm.201310278, pdf
Theses
- C. Lehrenfeld, "On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems", Ph.D. thesis, IGPM, RWTH Aachen, 2015, pdf(A4), pdf(A5)
- C. Lehrenfeld, "Hybrid Discontinuous Galerkin methods for incompressible flow problems", Diploma thesis, MathCCES, RWTH Aachen, 2010, pdf
Talks
- "Two-Phase Flow Benchmark Computations using Level-Set based FEM", presented at GAMM 2013, Novi Sad, Serbia, March 19, 2013
- "Domain Decomposition Preconditioners for High Order Hybrid Discontinuous Galerkin Methods", presented at DD21, Rennes, France, June 27, 2012, pdf
- "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)
- "Nitsche-XFEM for a transport problem in two-phase incompressible flows", presented at GAMM 2011, Graz, Austria, April 20, 2011
- "Efficient High Order DG Method for Time-domain Maxwells Equations", presented at MAFELAP 2009, London, Great Britain, June 11, 2009, pdf
Teaching
- SS 2015: Extended Finite Element Methods for interface problems at TU Vienna
- WS 2014/2015: Seminar zur Numerischen Analysis (Prof. Reusken) at RWTH Aachen
- SS 2013: Numerische Mathematik für Maschinenbauer (Prof. Reusken) at RWTH Aachen
- SS 2011 - WS 2011/2012: "Supervision of Bachelor theses" (Prof. Reusken) at RWTH Aachen
- SS 2009: "Advanced Finite Element Methods" (Prof. Schöberl) at RWTH Aachen
- SS 2008: "Mathematische Grundlagen II (CES)" (Prof. Bothe) at RWTH Aachen
Media
... to be updated soon ...
Benard Rayleigh instability (solved with ngsflow)
3D incompr. flow around a cylinder (Re=100) (solved with ngsflow)
rising and deforming bubble with mass transport (solved with DROPS)