Edit Profile Lehrenfeld, Christoph Compute Distance To: Compute Author ID: lehrenfeld.christoph Published as: Lehrenfeld, Christoph Documents Indexed: 27 Publications since 2012 all top 5 Co-Authors 3 single-authored 8 Reusken, Arnold 6 Schöberl, Joachim 3 Lederer, Philip Lukas 2 Fu, Guosheng 2 Linke, Alexander 2 Lube, Gert 2 Olshanskii, Maxim A. 2 Schroeder, Philipp W. 1 Abiev, Rufat 1 Bothe, Dieter 1 de Prenter, Frits 1 Falconi, Carlos J. 1 Grande, Jörg 1 Heiland, Jan 1 Heimann, Fabian 1 Hohage, Thorsten 1 John, Volker 1 Koutschan, Christoph 1 Marschall, Holger 1 Massing, André 1 Minakowski, Piotr 1 Preuß, Janosch 1 Rave, Stephan David 1 Richter, Thomas 1 Streckenbach, Timo 1 von Wahl, Henry 1 Wörner, Martin 1 Xu, Xianmin all top 5 Serials 4 SIAM Journal on Numerical Analysis 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 Numerische Mathematik 1 Advances in Computational Mathematics 1 Journal of Numerical Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 SN Partial Differential Equations and Applications all top 5 Fields 22 Numerical analysis (65-XX) 12 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 21 Publications have been cited 160 times in 113 Documents Cited by ▼ Year ▼ High order unfitted finite element methods on level set domains using isoparametric mappings. Zbl 1425.65168Lehrenfeld, Christoph 21 2016 Analysis of a high-order trace finite element method for PDEs on level set surfaces. Zbl 1383.65140Grande, Jörg; Lehrenfeld, Christoph; Reusken, Arnold 13 2018 Hybrid discontinuous Galerkin methods with relaxed \(H(\operatorname{div})\)-conformity for incompressible flows. I. Zbl 1402.35209Lederer, Philip L.; Lehrenfeld, Christoph; Schöberl, Joachim 12 2018 High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows. Zbl 1439.76081Lehrenfeld, Christoph; Schöberl, Joachim 11 2016 Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations. Zbl 1421.35253Schroeder, Philipp W.; Lehrenfeld, Christoph; Linke, Alexander; Lube, Gert 10 2018 Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. Zbl 1360.65281Lehrenfeld, Christoph; Reusken, Arnold 10 2017 The Nitsche XFEM-DG space-time method and its implementation in three space dimensions. Zbl 1326.65162Lehrenfeld, Christoph 10 2015 A note on the stability parameter in Nitsche’s method for unfitted boundary value problems. Zbl 1419.65106de Prenter, Frits; Lehrenfeld, Christoph; Massing, André 9 2018 Analysis of a Nitsche XFEM-DG discretization for a class of two-phase mass transport problems. Zbl 1268.76033Lehrenfeld, Christoph; Reusken, Arnold 9 2013 Domain decomposition preconditioning for high order hybrid discontinuous Galerkin methods on tetrahedral meshes. Zbl 1263.65120Schöberl, Joachim; Lehrenfeld, Christoph 9 2013 A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow. Zbl 1406.65112Fu, Guosheng; Lehrenfeld, Christoph 8 2018 Analysis of a high-order unfitted finite element method for elliptic interface problems. Zbl 06983850Lehrenfeld, Christoph; Reusken, Arnold 7 2018 Nitsche-XFEM with streamline diffusion stabilization for a two-phase mass transport problem. Zbl 1426.76282Lehrenfeld, Christoph; Reusken, Arnold 7 2012 High order unfitted finite element methods for interface problems and PDEs on surfaces. Zbl 1444.35130Lehrenfeld, Christoph; Reusken, Arnold 6 2017 Hybrid discontinuous Galerkin methods with relaxed. Zbl 1434.35058Lederer, Philip L.; Lehrenfeld, Christoph; Schöberl, Joachim 4 2019 A stabilized trace finite element method for partial differential equations on evolving surfaces. Zbl 1402.65112Lehrenfeld, Christoph; Olshanskii, Maxim A.; Xu, Xianmin 4 2018 Direct numerical simulations of Taylor bubbles in a square mini-channel: detailed shape and flow analysis with experimental validation. Zbl 1391.76781Marschall, Holger; Falconi, Carlos; Lehrenfeld, Christoph; Abiev, Rufat; Wörner, Martin; Reusken, Arnold; Bothe, Dieter 3 2017 Computer algebra meets finite elements: an efficient implementation for Maxwell’s equations. Zbl 1250.78042Koutschan, Christoph; Lehrenfeld, Christoph; Schöberl, Joachim 3 2012 An Eulerian finite element method for PDEs in time-dependent domains. Zbl 1422.65223Lehrenfeld, Christoph; Olshanskii, Maxim 2 2019 On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Zbl 1442.76050Schroeder, Philipp W.; John, Volker; Lederer, Philip L.; Lehrenfeld, Christoph; Lube, Gert; Schöberl, Joachim 1 2019 \(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 07089645Lehrenfeld, Christoph; Reusken, Arnold 1 2019 Hybrid discontinuous Galerkin methods with relaxed. Zbl 1434.35058Lederer, Philip L.; Lehrenfeld, Christoph; Schöberl, Joachim 4 2019 An Eulerian finite element method for PDEs in time-dependent domains. Zbl 1422.65223Lehrenfeld, Christoph; Olshanskii, Maxim 2 2019 On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem. Zbl 1442.76050Schroeder, Philipp W.; John, Volker; Lederer, Philip L.; Lehrenfeld, Christoph; Lube, Gert; Schöberl, Joachim 1 2019 \(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 07089645Lehrenfeld, Christoph; Reusken, Arnold 1 2019 Analysis of a high-order trace finite element method for PDEs on level set surfaces. Zbl 1383.65140Grande, Jörg; Lehrenfeld, Christoph; Reusken, Arnold 13 2018 Hybrid discontinuous Galerkin methods with relaxed \(H(\operatorname{div})\)-conformity for incompressible flows. I. Zbl 1402.35209Lederer, Philip L.; Lehrenfeld, Christoph; Schöberl, Joachim 12 2018 Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations. Zbl 1421.35253Schroeder, Philipp W.; Lehrenfeld, Christoph; Linke, Alexander; Lube, Gert 10 2018 A note on the stability parameter in Nitsche’s method for unfitted boundary value problems. Zbl 1419.65106de Prenter, Frits; Lehrenfeld, Christoph; Massing, André 9 2018 A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow. Zbl 1406.65112Fu, Guosheng; Lehrenfeld, Christoph 8 2018 Analysis of a high-order unfitted finite element method for elliptic interface problems. Zbl 06983850Lehrenfeld, Christoph; Reusken, Arnold 7 2018 A stabilized trace finite element method for partial differential equations on evolving surfaces. Zbl 1402.65112Lehrenfeld, Christoph; Olshanskii, Maxim A.; Xu, Xianmin 4 2018 Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. Zbl 1360.65281Lehrenfeld, Christoph; Reusken, Arnold 10 2017 High order unfitted finite element methods for interface problems and PDEs on surfaces. Zbl 1444.35130Lehrenfeld, Christoph; Reusken, Arnold 6 2017 Direct numerical simulations of Taylor bubbles in a square mini-channel: detailed shape and flow analysis with experimental validation. Zbl 1391.76781Marschall, Holger; Falconi, Carlos; Lehrenfeld, Christoph; Abiev, Rufat; Wörner, Martin; Reusken, Arnold; Bothe, Dieter 3 2017 High order unfitted finite element methods on level set domains using isoparametric mappings. Zbl 1425.65168Lehrenfeld, Christoph 21 2016 High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows. Zbl 1439.76081Lehrenfeld, Christoph; Schöberl, Joachim 11 2016 The Nitsche XFEM-DG space-time method and its implementation in three space dimensions. Zbl 1326.65162Lehrenfeld, Christoph 10 2015 Analysis of a Nitsche XFEM-DG discretization for a class of two-phase mass transport problems. Zbl 1268.76033Lehrenfeld, Christoph; Reusken, Arnold 9 2013 Domain decomposition preconditioning for high order hybrid discontinuous Galerkin methods on tetrahedral meshes. Zbl 1263.65120Schöberl, Joachim; Lehrenfeld, Christoph 9 2013 Nitsche-XFEM with streamline diffusion stabilization for a two-phase mass transport problem. Zbl 1426.76282Lehrenfeld, Christoph; Reusken, Arnold 7 2012 Computer algebra meets finite elements: an efficient implementation for Maxwell’s equations. Zbl 1250.78042Koutschan, Christoph; Lehrenfeld, Christoph; Schöberl, Joachim 3 2012 all cited Publications top 5 cited Publications all top 5 Cited by 233 Authors 15 Lehrenfeld, Christoph 9 Reusken, Arnold 8 Olshanskii, Maxim A. 6 Burman, Erik 6 Larson, Mats G. 5 Lederer, Philip Lukas 4 Fu, Guosheng 4 Hansbo, Peter 4 Massing, André 4 Rhebergen, Sander 4 Schillinger, Dominik 4 Schöberl, Joachim 3 Groß, Sven 3 Hou, Yanren 3 Larsson, Karl 3 Reali, Alessandro 3 Sticko, Simon 3 Van Brummelen, Harald 3 Verhoosel, Clemens V. 3 Zahedi, Sara 2 Antonietti, Paola Francesca 2 Auricchio, Ferdinando 2 Barrenechea, Gabriel R. 2 Clain, Stéphane Louis 2 Costa, Ricardo 2 de Prenter, Frits 2 Dryja, Maksymilian 2 Elfverson, Daniel 2 Ern, Alexandre 2 Feng, Xinlong 2 Fries, Thomas-Peter 2 Galvis, Juan 2 Guo, Ruchi 2 Gürkan, Ceren 2 He, Yinnian 2 Kreiss, Gunilla 2 Linke, Alexander 2 Ludescher, Thomas 2 Machado, Gaspar J. 2 Neumüller, Martin 2 Qian, Lingzhi 2 Ruiz-Baier, Ricardo 2 Sarkis, Marcus V. 2 Schanz, Martin 2 Wall, Wolfgang A. 2 Wells, Garth N. 2 Williams, David M. 2 Wörner, Martin 2 Xie, Xiaoping 2 Xu, Xianmin 2 Xue, Dandan 2 Yushutin, Vladimir 2 Zhang, Qinghui 1 Abiev, Rufat 1 Akbas, Mine 1 Alauzet, Frédéric 1 Albocher, Uri 1 Anaya, Verónica 1 Antolin, Pablo 1 Apel, Thomas 1 Ayuso de Dios, Blanca 1 Aziz, Imran 1 Babuška, Ivo 1 Baird, Graham 1 Behr, Marek A. 1 Bertoluzza, Silvia 1 Bosy, Michał 1 Bothe, Dieter 1 Bouharguane, Afaf 1 Buffa, Annalisa 1 Bui, Hoang-Giang 1 Bürger, Raimund 1 Carraturo, Massimo 1 Çeşmelioğlu, Ayçıl 1 Chan, Jesse 1 Chen, Hongbin 1 Chen, Jinru 1 Chen, Xi 1 Chen, Xi 1 Cheng, Changzheng 1 Chernyshenko, Alexey Y. 1 Chung, Tsz Shun Eric 1 Cicuttin, Matteo 1 Claus, Susanne 1 Coradello, Luca 1 D’Angella, Davide 1 Darmofal, David L. 1 Delay, Guillaume 1 Dijoux, Loic 1 Divi, Sai C. 1 Dolean, Victorita 1 Drapaca, Corina-Ştefania 1 Drescher, Lukas 1 Du, Shukai 1 Engwer, Christian 1 Fabrèges, Benoît 1 Falconi, Carlos J. 1 Fernández, Miguel Ángel 1 Fontaine, Vincent 1 Frachon, Thomas ...and 133 more Authors all top 5 Cited in 26 Serials 30 Computer Methods in Applied Mechanics and Engineering 13 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 9 Journal of Scientific Computing 7 Journal of Computational and Applied Mathematics 6 Computers & Mathematics with Applications 4 Journal of Computational Physics 3 Computers and Fluids 3 Numerische Mathematik 3 Computational Methods in Applied Mathematics 2 Calcolo 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematical Modelling 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Fluid Mechanics 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Advances in Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Advances in Computational Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Electronic Research Archive all top 5 Cited in 14 Fields 100 Numerical analysis (65-XX) 52 Fluid mechanics (76-XX) 32 Partial differential equations (35-XX) 17 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year