High order exactly divergence-free hybrid discontinuous Galerkin methods for unsteady incompressible flows C Lehrenfeld, J Schöberl Computer Methods in Applied Mechanics and Engineering 307, 339-361, 2016 | 214 | 2016 |
High order unfitted finite element methods on level set domains using isoparametric mappings C Lehrenfeld Computer Methods in Applied Mechanics and Engineering 300, 716-733, 2016 | 177 | 2016 |
Hybrid Discontinuous Galerkin methods for solving incompressible flow problems, 2010 C Lehrenfeld Diploma Thesis, MathCCES/IGPM, RWTH Aachen, 0 | 175* | |
Analysis of a high-order unfitted finite element method for elliptic interface problems C Lehrenfeld, A Reusken IMA Journal of Numerical Analysis 38 (3), 1351-1387, 2018 | 81 | 2018 |
Analysis of a high-order trace finite element method for PDEs on level set surfaces J Grande, C Lehrenfeld, A Reusken SIAM Journal on Numerical Analysis 56 (1), 228-255, 2018 | 76 | 2018 |
Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier–Stokes equations PW Schroeder, C Lehrenfeld, A Linke, G Lube SeMA Journal 75, 629-653, 2018 | 74 | 2018 |
The Nitsche XFEM-DG space-time method and its implementation in three space dimensions C Lehrenfeld SIAM Journal on Scientific Computing 37 (1), A245-A270, 2015 | 67 | 2015 |
An Eulerian finite element method for PDEs in time-dependent domains C Lehrenfeld, M Olshanskii ESAIM: Mathematical Modelling and Numerical Analysis 53 (2), 585-614, 2019 | 63 | 2019 |
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems C Lehrenfeld, A Reusken Numerische Mathematik 135, 313-332, 2017 | 62 | 2017 |
Analysis of a Nitsche XFEM-DG discretization for a class of two-phase mass transport problems C Lehrenfeld, A Reusken SIAM journal on numerical analysis 51 (2), 958-983, 2013 | 56 | 2013 |
Hybrid discontinuous Galerkin methods with relaxed H (div)-conformity for incompressible flows. Part I PL Lederer, C Lehrenfeld, J Schöberl SIAM Journal on Numerical Analysis 56 (4), 2070-2094, 2018 | 50 | 2018 |
Numerical and experimental analysis of local flow phenomena in laminar Taylor flow in a square mini-channel CJ Falconi, C Lehrenfeld, H Marschall, C Meyer, R Abiev, D Bothe, ... Physics of fluids 28 (1), 2016 | 50 | 2016 |
Domain decomposition preconditioning for high order hybrid discontinuous Galerkin methods on tetrahedral meshes J Schöberl, C Lehrenfeld Advanced finite element methods and applications, 27-56, 2013 | 47 | 2013 |
A note on the stability parameter in Nitsche’s method for unfitted boundary value problems F de Prenter, C Lehrenfeld, A Massing Computers & Mathematics with Applications 75 (12), 4322-4336, 2018 | 45 | 2018 |
A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow G Fu, C Lehrenfeld Journal of Scientific Computing 77, 1605-1620, 2018 | 40 | 2018 |
Validation of interface capturing and tracking techniques with different surface tension treatments against a Taylor bubble benchmark problem H Marschall, S Boden, C Lehrenfeld, U Hampel, A Reusken, M Wörner, ... Computers & Fluids 102, 336-352, 2014 | 40 | 2014 |
On reference solutions and the sensitivity of the 2D Kelvin–Helmholtz instability problem PW Schroeder, V John, PL Lederer, C Lehrenfeld, G Lube, J Schöberl Computers & Mathematics with Applications 77 (4), 1010-1028, 2019 | 39 | 2019 |
A stabilized trace finite element method for partial differential equations on evolving surfaces C Lehrenfeld, MA Olshanskii, X Xu SIAM Journal on Numerical Analysis 56 (3), 1643-1672, 2018 | 36 | 2018 |
High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of L2 and H(div) methods N Fehn, M Kronbichler, C Lehrenfeld, G Lube, PW Schroeder International Journal for Numerical Methods in Fluids 91 (11), 533-556, 2019 | 35 | 2019 |
Divergence‐free tangential finite element methods for incompressible flows on surfaces PL Lederer, C Lehrenfeld, J Schöberl International journal for numerical methods in engineering 121 (11), 2503-2533, 2020 | 34 | 2020 |