Christoph Lehrenfeld

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 34

Top Topics

Development Environments

Diffuse Optical Tomography

Partial Differential Equations

Top Venues

SIAM J. Numer. Anal.

SIAM J. Sci. Comput.

Comput. Math. Appl.

Publications

Christoph Lehrenfeld, Paul Stocker, Maximilian Zienecker
Sparsity comparison of polytopal finite element methods. CoRR (2024)
Pedro Costa Klein, Christoph Lehrenfeld, Markus Osterhoff, Martin Uecker
LiveDocs: Crafting Interactive Development Environments From Research Findings. CoRR (2024)
Philip L. Lederer, Christoph Lehrenfeld, Paul Stocker
Trefftz discontinuous Galerkin discretization for the Stokes problem. Numerische Mathematik 156 (3) (2024)
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains. SIAM J. Sci. Comput. 45 (2) (2023)
Christoph Lehrenfeld, Tim van Beeck, Igor Voulis
Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem. CoRR (2023)
Philip L. Lederer, Christoph Lehrenfeld, Paul Stocker
Trefftz Discontinuous Galerkin discretization for the Stokes problem. CoRR (2023)
Fabian Heimann, Christoph Lehrenfeld
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains: Geometry Error Analysis. CoRR (2023)
Christoph Lehrenfeld, Paul Stocker
Embedded Trefftz discontinuous Galerkin methods. CoRR (2022)
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains. CoRR (2022)
Tilman Alemán, Martin Halla, Christoph Lehrenfeld, Paul Stocker
Robust finite element discretizations for a simplified Galbrun's equation. CoRR (2022)
Fabian Heimann, Christoph Lehrenfeld, Paul Stocker, Henry von Wahl
Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems. CoRR (2022)
Yimin Lou, Christoph Lehrenfeld
Isoparametric Unfitted BDF-Finite Element Method for PDEs on Evolving Domains. SIAM J. Numer. Anal. 60 (4) (2022)
Martin Halla, Christoph Lehrenfeld, Paul Stocker
A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun's equation. CoRR (2022)
Yimin Lou, Christoph Lehrenfeld
Isoparametric unfitted BDF - Finite element method for PDEs on evolving domains. CoRR (2021)
Guosheng Fu, Christoph Lehrenfeld, Alexander Linke, Timo Streckenbach
Locking-Free and Gradient-Robust ${\varvec{H}}({{\, \mathrm{{\text {div}}}\, }})$-Conforming HDG Methods for Linear Elasticity. J. Sci. Comput. 86 (3) (2021)
Thorsten Hohage, Christoph Lehrenfeld, Janosch Preuß
Learned Infinite Elements. SIAM J. Sci. Comput. 43 (5) (2021)
Christoph Lehrenfeld, Fabian Heimann, Janosch Preuß, Henry von Wahl
ngsxfem: Add-on to NGSolve for geometrically unfitted finite element discretizations. J. Open Source Softw. 6 (64) (2021)
Thorsten Hohage, Christoph Lehrenfeld, Janosch Preuß
Learned infinite elements. CoRR (2020)
Janosch Preuß, Thorsten Hohage, Christoph Lehrenfeld
Sweeping preconditioners for stratified media in the presence of reflections. CoRR (2020)
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains. CoRR (2020)
Guosheng Fu, Christoph Lehrenfeld, Alexander Linke, Timo Streckenbach
Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity. CoRR (2020)
Christoph Lehrenfeld, Stephan Rave
Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem. Adv. Comput. Math. 45 (5) (2019)
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld, Jan Heiland, Piotr Minakowski
Numerical benchmarking of fluid-rigid body interactions. CoRR (2019)
Philipp W. Schroeder, Volker John, Philip L. Lederer, Christoph Lehrenfeld, Gert Lube, Joachim Schöberl
On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Comput. Math. Appl. 77 (4) (2019)
Christoph Lehrenfeld, Arnold Reusken
L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems. J. Num. Math. 27 (2) (2019)
Philip L. Lederer, Christoph Lehrenfeld, Joachim Schöberl
Divergence-free tangential finite element methods for incompressible flows on surfaces. CoRR (2019)
Guosheng Fu, Christoph Lehrenfeld
A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow. J. Sci. Comput. 77 (3) (2018)
Christoph Lehrenfeld, Maxim A. Olshanskii, Xianmin Xu
A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces. SIAM J. Numer. Anal. 56 (3) (2018)
Frits de Prenter, Christoph Lehrenfeld, André Massing
A note on the stability parameter in Nitsche's method for unfitted boundary value problems. Comput. Math. Appl. 75 (12) (2018)
Jörg Grande, Christoph Lehrenfeld, Arnold Reusken
Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces. SIAM J. Numer. Anal. 56 (1) (2018)
Philip L. Lederer, Christoph Lehrenfeld, Joachim Schöberl
Hybrid Discontinuous Galerkin Methods with Relaxed H(div)-Conformity for Incompressible Flows. Part I. SIAM J. Numer. Anal. 56 (4) (2018)
Frits de Prenter, Christoph Lehrenfeld, André Massing
A note on the penalty parameter in Nitsche's method for unfitted boundary value problems. CoRR (2017)
Christoph Lehrenfeld, Arnold Reusken
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. Numerische Mathematik 135 (2) (2017)
Christoph Lehrenfeld
A Higher Order Isoparametric Fictitious Domain Method for Level Set Domains. CoRR (2016)
Christoph Lehrenfeld, Joachim Schöberl
High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows. CoRR (2015)
Christoph Lehrenfeld
The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions. SIAM J. Sci. Comput. 37 (1) (2015)
Christoph Lehrenfeld
High order unfitted finite element methods on level set domains using isoparametric mappings. CoRR (2015)
Christoph Lehrenfeld, Arnold Reusken
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. CoRR (2014)
Christoph Lehrenfeld
The Nitsche XFEM-DG space-time method and its implementation in three space dimensions. CoRR (2014)
Christoph Lehrenfeld, Arnold Reusken
Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems. SIAM J. Numer. Anal. 51 (2) (2013)
Christoph Lehrenfeld, Arnold Reusken
Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem. SIAM J. Sci. Comput. 34 (5) (2012)
Christoph Koutschan, Christoph Lehrenfeld, Joachim Schöberl
Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations CoRR (2011)