CV
Honors
- Borchers-Plakette – RWTH Aachen
Appointment
- Ruf auf eine Juniorprofessur für Numerische Mathematik (W1), Georg-August-Universität Göttingen
University of Göttingen, Numerische Mathematik (W1) – accepted
Publications
- Lehrenfeld, C, and Reusken, A. . “L2-estimates for a high order unfitted finite element method for elliptic interface problems.” arXiv eprints.
- Lehrenfeld, Christoph. . “High order unfitted finite element methods on level set domains using isoparametric mappings.” Comp. Meth. Appl. Mech. Eng. 300 (1): 716–733. doi: 10.1016/j.cma.2015.12.005.
- Lehrenfeld, C, and Reusken, A. . “Analysis of a high order unfitted finite element method for elliptic interface problems.” arXiv preprint arXiv:1602.02970 1602.02970.
- Lehrenfeld, C, and Reusken, A. . “Optimal Preconditioners for Nitsche-XFEM Discretizations of Interface Problems.” Numerische Mathematik 2016. doi: 10.1007/s00211-016-0801-6.
- Falconi, Delgado C, Lehrenfeld, C, Marschall, H, Meyer, C, Abiev, R, Bothe, D, Reusken, A, Schlüter, M, and Wörner, M. . “Numerical and Experimental Analysis of Local Flow Phenomena in Laminar Taylor Flow in a Square Mini-Channel.” Physics of Fluids 28 (1): 012109..
- Lehrenfeld, C, and Schöberl, J. . “High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows.” Comp. Meth. Appl. Mech. Eng. 2016. doi: 10.1016/j.cma.2016.04.025.
- Lehrenfeld, C, and Reusken, A. . “Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport.” in Computational Methods for Complex Liquid-Fluid Interfaces, edited by Press CRC.
- Lehrenfeld, C. . “The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions.” SIAM J. Sci. Comput. 37: A245–A270.. doi: 10.1137/130943534.
- Lehrenfeld, C. . “On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems.” Dissertation thesis, RWTH Aachen.
- Marschall, H, Boden, S, Lehrenfeld, C, Falconi, Delgado C, Hampel, U, Reusken, A, Wörner, M, and Bothe, D. . “Validation of Interface Capturing and Tracking Techniques with different Surface Tension Treatments against a Taylor Bubble Benchmark Problem.” Comput. & Fluids 102: 336–352. doi: 10.1016/j.compfluid.2014.06.030.
- Schöberl, J, and Lehrenfeld, C. . “Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes.” in Advanced Finite Element Methods and Applications, Vol. 66 of Lecture Notes in Applied and Computational Mechanics, edited by Thomas Apel and Olaf Steinbach. Springer VDI Verlag.
- Lehrenfeld, C, and Reusken, A. . “Analysis of a DG-XFEM Discretization for a Class of Two-Phase Mass Transport Problems.” SIAM J. Numer. Anal. 51: 958–983. doi: 10.1137/120875260.
- Aland, S, Lehrenfeld, C, Marschall, H, Meyer, C, and Weller, S. . “Accuracy of Two-Phase Flow Simulations.” in Proc. Appl. Math. Mech., Vol. 13 of Proc. Appl. Math. Mech. Springer. doi: 10.1002/pamm.201310278.
- Lehrenfeld, Christoph Reusken Arnold. . “Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem.” SIAM J. Sci. Comput. 34: 2740–2759. doi: 10.1137/110855235.
- Koutschan, Christoph, Lehrenfeld, Christoph, and Schöberl, Joachim. . “Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwells Equations.” in Numerical and Symbolic Scientific Computing: Progress and Prospects, edited by Langer PP Ulrich. Springer VDI Verlag. doi: 10.1007/978-3-7091-0794-2_6.
- Lehrenfeld, Christoph. . “Nitsche-XFEM for a Transport Problem in Two- Phase Incompressible Flows.” in Proc. Appl. Math. Mech., Vol. 11 John Wiley & Sons. doi: 10.1002/pamm.201110296.
- Lehrenfeld, Christoph. . Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems