Dr. Christoph Lehrenfeld

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Dr. Christoph Lehrenfeld

Einsteinstr. 62
48149 Münster

Academic Profile

External Profile

  • CV


    Borchers-Plakette – RWTH Aachen


    Georg-August-Universität Göttingen, Numerische Mathematik (W1) – accepted
  • Publications

    • Lehrenfeld C, Reusken A. . L2-estimates for a high order unfitted finite element method for elliptic interface problems : arXiv eprints, . [submitted / under review]
    • Lehrenfeld Christoph. . ‘High order unfitted finite element methods on level set domains using isoparametric mappings.’ Comp. Meth. Appl. Mech. Eng. 300, No. 1: 716–733. doi: 10.1016/j.cma.2015.12.005.
    • Lehrenfeld C, Reusken A. . ‘Analysis of a high order unfitted finite element method for elliptic interface problems.’ arXiv preprint arXiv:1602.02970 1602.02970. [submitted / under review]
    • Lehrenfeld C, 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, Wörner M. . ‘Numerical and Experimental Analysis of Local Flow Phenomena in Laminar Taylor Flow in a Square Mini-Channel.’ Physics of Fluids 28, No. 1: 012109.
    • Lehrenfeld C, 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. [online first]
    • Lehrenfeld C, 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 CRC Press, 353–371.
    • 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, 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, Lehrenfeld C. . ‘Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes.’ In Advanced Finite Element Methods and Applications, edited by Apel Thomas, Steinbach Olaf, 27–56. Springer VDI Verlag.
    • Lehrenfeld C, 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, Weller S. . ‘Accuracy of Two-Phase Flow Simulations.’ In Proc. Appl. Math. Mech., 595–598.: 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, Schöberl Joachim. . ‘Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwells Equations.’ In Numerical and Symbolic Scientific Computing: Progress and Prospects, edited by Ulrich Langer PP, 105–122. 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., 613–614.: Wiley. doi: 10.1002/pamm.201110296.
    • Lehrenfeld Christoph. . Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems.