Christoph Lehrenfeld

Inhaltsverzeichnis

Contact

Jr.-Prof. Dr. Christoph Lehrenfeld
Institut für Numerische und Angewandte Mathematik
Lotzestraße 16-18
D-37083 Göttingen
Room 104
phone: +49 (0)551 39 10584
email: lehrenfeld-at-math.uni-goettingen.de

Research interests

Short CV

Publications

Recent publications

recent

[1] Christoph Lehrenfeld, Maxim A. Olshanskii, and Xianmin Xu. A stabilized trace finite element method for partial differential equations on evolving surfaces. arXiv preprint arXiv:1709.07117, 2017. [ bib | http | .pdf ]
[2] Frits de Prenter, Christoph Lehrenfeld, and André Massing. A note on the penalty parameter in nitsche's method for unfitted boundary value problems. arXiv preprint arXiv:1709.05832, 2017. [ bib | http | .pdf ]
[3] Philipp W. Schroeder, Alexander Linke, Christoph Lehrenfeld, and Gert Lube. Towards computable flows and robust estimates for inf-sup stable fem applied to the time-dependent incompressible navier-stokes equations. arXiv preprint arXiv:1709.03063, 2017. [ bib | http | .pdf ]
[4] Philip L. Lederer, Christoph Lehrenfeld, and Joachim Schöberl. Hybrid discontinuous galerkin methods with relaxed h(div)-conformity for incompressible flows. part i. arXiv preprint arXiv:1707.02782, 2017. [ bib | http | .pdf ]
[5] Christoph Lehrenfeld. A higher order isoparametric fictitious domain method for level set domains. arXiv preprint arXiv:1612.02561, 2016. [ bib | http | .pdf ]
[6] Jörg Grande, Christoph Lehrenfeld, and Arnold Reusken. Analysis of a high order trace finite element method for PDEs on level set surfaces. arXiv preprint arXiv:1611.01100, 2016. NAM preprint 2016-05, accepted for publication in SIAM Num. Ana. (2017). [ bib | http | .pdf ]
[7] Christoph Lehrenfeld and Arnold Reusken. L2-estimates for a high order unfitted finite element method for elliptic interface problems. arXiv preprint arXiv:1604.04529, 2016. [ bib | http | .pdf ]

Journal publications

journal

[1] Christoph Lehrenfeld and Arnold Reusken. Analysis of a high order unfitted finite element method for an elliptic interface problem. IMA J. Numer. Anal., 00:1--37, 2017. first online. [ bib | DOI | http | .pdf ]
[2] Christoph Lehrenfeld and Arnold Reusken. Optimal preconditioners for nitsche-xfem discretizations of interface problems. Numerische Mathematik, 135:313--332, 2017. [ bib ]
[3] Christoph Lehrenfeld and Joachim Schöberl. High order exactly divergence-free hybrid discontinuous galerkin methods for unsteady incompressible flows. Computer Methods in Applied Mechanics and Engineering, 307:339 -- 361, 2016. [ bib | DOI | http | .pdf ]
[4] Christoph Lehrenfeld. High order unfitted finite element methods on level set domains using isoparametric mappings. Computer Methods in Applied Mechanics and Engineering, 300:716 -- 733, 2016. [ bib | DOI | http | .pdf ]
[5] Carlos J. Falconi D., Christoph Lehrenfeld, Holger Marschall, Christoph Meyer, R. Abiev, Dieter Bothe, Arnold Reusken, Michael Schlüter, and Martin Wörner. Numerical and experimental analysis of local flow phenomena in laminar taylor flow in a square mini-channel. Physics of Fluids, 28(1), 2016. [ bib | DOI | http ]
[6] Christoph Lehrenfeld. The Nitsche XFEM-DG space-time method and its implementation in three space dimensions. SIAM J. Sci. Comp., 37(1):A245--A270, 2015. [ bib | DOI | http | .pdf ]
[7] Holger Marschall, Stephan Boden, Christoph Lehrenfeld, Carlos J. Falconi D., Uwe Hampel, Arnold Reusken, Martin Wörner, and Dieter Bothe. Validation of interface capturing and tracking techniques with different surface tension treatments against a taylor bubble benchmark problem. Computers & Fluids, 102:336 -- 352, 2014. [ bib | DOI | http ]
[8] Christoph Lehrenfeld and Arnold Reusken. Analysis of a Nitsche XFEM-DG discretization for a class of two-phase mass transport problems. SIAM J. Numer. Anal., 51:958--983, 2013. [ bib | DOI | http | .pdf ]
[9] Christoph Lehrenfeld and Arnold Reusken. Nitsche-XFEM with streamline diffusion stabilization for a two-phase mass transport problem. SIAM J. Sci. Comp., 34:2740--2759, 2012. [ bib | DOI | http | .pdf ]

Book chapters

bookchap

[1] Holger Marschall, Carlos Falconi, Christoph Lehrenfeld, Rufat Abiev, Martin Wörner, Arnold Reusken, and Dieter Bothe. Direct numerical simulations of taylor bubbles in a square mini-channel: Detailed shape and flow analysis with experimental validation. In Transport Processes at Fluidic Interfaces, pages 663--679. Springer, 2017. [ bib ]
[2] Christoph Lehrenfeld and Arnold Reusken. High order unfitted finite element methods for interface problems and pdes on surfaces. In Transport Processes at Fluidic Interfaces, pages 33--63. Springer, 2017. [ bib | .pdf ]
[3] Christoph Lehrenfeld and Arnold Reusken. Finite element techniques for the numerical simulation of two-phase flows with mass transport. In Computational Methods for Complex Liquid-Fluid Interfaces, pages 353--372, 2015. [ bib | .pdf ]
[4] Joachim Schöberl and Christoph Lehrenfeld. Domain decomposition preconditioning for high order hybrid discontinuous Galerkin methods on tetrahedral meshes. In Thomas Apel and Olaf Steinbach, editors, Advanced Finite Element Methods and Applications, volume 66 of Lecture Notes in Applied and Computational Mechanics, pages 27--56. Springer Berlin Heidelberg, 2013. [ bib | DOI | http | .pdf ]
[5] Christoph Koutschan, Christoph Lehrenfeld, and Joachim Schöberl. Computer algebra meets finite elements: An efficient implementation for maxwells equations. In Numerical and Symbolic Scientific Computing, volume 1 of Texts and Monographs in Symbolic Computation, pages 105--121. Springer Vienna, 2012. [ bib | DOI | .pdf ]

Prooceding articles

proc

[1] Philip L. Lederer, Carl-Martin Pfeiler, Christoph Wintersteiger, and Christoph Lehrenfeld. Higher order unfitted fem for stokes interface problems. PAMM, 16(1):7--10, 2016. [ bib | DOI | http ]
[2] Christoph Lehrenfeld. Removing the stabilization parameter in fitted and unfitted symmetric nitsche formulations. In Proc. of ECCOMAS 2016, 2016. [ bib | .pdf ]
[3] Sebastian Aland, Christoph Lehrenfeld, Holger Marschall, Christoph Meyer, and Stephan Weller. Accuracy of two-phase flow simulations: The Taylor flow benchmark. Proc. Appl. Math. Mech., 13(1):595--598, December 2013. [ bib | DOI | http ]
[4] Christoph Lehrenfeld. Nitsche-XFEM for a transport problem in two-phase incompressible flows. PAMM, 11(1):613--614, December 2011. [ bib | DOI | http ]

Theses

theses

[1] Christoph Lehrenfeld. On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems. PhD thesis, RWTH Aachen, February 2015. [ bib | http | .pdf ]
[2] Christoph Lehrenfeld. Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems. Master's thesis, RWTH Aachen, May 2010. [ bib | .pdf ]

Teaching

Software

Media

Profiles

Author Christoph Lehrenfeld (lehrenfeld-at-math.uni-goettingen.de)
Date 2017-09-22 08:02:12