journal.bib
@article{LR_SISC_2012,
title = {{Nitsche-XFEM} with streamline diffusion stabilization for a two-phase mass transport problem},
author = {Christoph Lehrenfeld and Arnold Reusken},
journal = {SIAM J. Sci. Comp.},
volume = {34},
pages = {2740--2759},
year = {2012},
publisher = {SIAM},
url = {http://epubs.siam.org/doi/abs/10.1137/110855235},
doi = {http://dx.doi.org/10.1137/110855235},
pdf = {https://www.igpm.rwth-aachen.de/Download/reports/reusken/ARpaper62.pdf}
}
@article{LR_SINUM_2013,
author = {Lehrenfeld, Christoph and Reusken, Arnold},
title = {Analysis of a {Nitsche XFEM-DG} Discretization for a class of Two-Phase Mass Transport Problems},
journal = {SIAM J. Numer. Anal.},
year = {2013},
volume = {51},
pages = {958--983},
file = {reuskenlehrenfeld13.pdf},
doi = {10.1137/120875260},
url = {http://epubs.siam.org/doi/abs/10.1137/120875260},
pdf = {https://www.igpm.rwth-aachen.de/Download/reports/reusken/ARpaper67.pdf}
}
@article{MBLFHRWB_CF_2014,
title = {Validation of Interface Capturing and Tracking techniques with different surface tension treatments against a {Taylor} bubble benchmark problem },
author = {Holger Marschall and Stephan Boden and Christoph Lehrenfeld and Carlos J. Falconi D. and Uwe Hampel and Arnold Reusken and Martin W\"{o}rner and Dieter Bothe},
journal = {Computers \& Fluids },
volume = {102},
number = {},
pages = {336 - 352},
year = {2014},
note = {},
issn = {0045-7930},
doi = {http://dx.doi.org/10.1016/j.compfluid.2014.06.030},
url = {http://www.sciencedirect.com/science/article/pii/S0045793014002771}
}
@article{L_SISC_2015,
title = {The {Nitsche} {XFEM-DG} space-time method and its implementation in three space dimensions},
author = {Lehrenfeld, Christoph},
journal = {SIAM J. Sci. Comp.},
volume = {37},
number = {1},
pages = {A245--A270},
year = {2015},
publisher = {SIAM},
doi = {http://dx.doi.org/10.1137/130943534},
url = {http://epubs.siam.org/doi/abs/10.1137/130943534},
pdf = {https://arxiv.org/pdf/1408.2941v1.pdf}
}
@article{FLMMABRSW_POF_2016,
author = {Carlos J. Falconi D. and Christoph Lehrenfeld and Holger Marschall and Christoph Meyer and R. Abiev and Dieter Bothe and Arnold Reusken and Michael Schl\"{u}ter and Martin W\"{o}rner},
title = {Numerical and experimental analysis of local flow phenomena in laminar {Taylor} flow in a square mini-channel},
journal = {Physics of Fluids},
year = {2016},
volume = {28},
number = {1},
eid = 012109,
pages = {},
url = {http://scitation.aip.org/content/aip/journal/pof2/28/1/10.1063/1.4939498},
doi = {http://dx.doi.org/10.1063/1.4939498}
}
@article{L_CMAME_2016,
title = {High order unfitted finite element methods on level set domains using isoparametric mappings },
author = {Christoph Lehrenfeld},
journal = {Computer Methods in Applied Mechanics and Engineering },
volume = {300},
number = {},
pages = {716 -- 733},
year = {2016},
note = {},
issn = {0045-7825},
doi = {http://dx.doi.org/10.1016/j.cma.2015.12.005},
url = {http://www.sciencedirect.com/science/article/pii/S0045782515004004},
pdf = {https://arxiv.org/pdf/1509.02762v1.pdf}
}
@article{LS_CMAME_2016,
title = {High order exactly divergence-free Hybrid Discontinuous {Galerkin} Methods for unsteady incompressible flows },
author = {Christoph Lehrenfeld and Joachim Schöberl},
journal = {Computer Methods in Applied Mechanics and Engineering },
volume = {307},
number = {},
pages = {339 -- 361},
year = {2016},
note = {},
issn = {0045-7825},
doi = {http://dx.doi.org/10.1016/j.cma.2016.04.025},
url = {http://www.sciencedirect.com/science/article/pii/S004578251630264X},
pdf = {https://arxiv.org/pdf/1508.04245v2.pdf}
}
@article{L_NM_2017,
title = {Optimal preconditioners for {Nitsche-XFEM} discretizations of interface problems},
author = {Lehrenfeld, Christoph and Reusken, Arnold},
journal = {Numerische Mathematik},
volume = {135},
pages = {313-332},
year = {2017},
publisher = {Springer}
}
@article{LR_IMAJNA_2018,
title = {Analysis of a high order unfitted finite element method for an elliptic interface problem},
author = {Lehrenfeld, Christoph and Reusken, Arnold},
journal = {IMA J. Numer. Anal.},
url = {https://academic.oup.com/imajna/article-abstract/doi/10.1093/imanum/drx041/4084723/Analysis-of-a-highorder-unfitted-finite-element},
pdf = {https://arxiv.org/pdf/1602.02970.pdf},
volume = {38},
issue = {3},
pages = {1351--1387},
doi = {10.1093/imanum/drx041},
year = {2018}
}
@article{grande2018analysis,
title = {Analysis of a High-Order Trace Finite Element Method for {PDE}s on Level Set Surfaces},
author = {Grande, J{\"o}rg and Lehrenfeld, Christoph and Reusken, Arnold},
journal = {SIAM Journal on Numerical Analysis},
volume = {56},
number = {1},
pages = {228--255},
year = {2018},
publisher = {SIAM},
url = {http://epubs.siam.org/doi/abs/10.1137/16M1102203},
pdf = {https://arxiv.org/pdf/1611.01100.pdf}
}
@article{LR_JNMA_2018,
title = {{$L^2$}-estimates for a high order unfitted finite element method for elliptic interface problems},
author = {Lehrenfeld, Christoph and Reusken, Arnold},
journal = {Journal of Numerical Mathematics},
url = {https://www.degruyter.com/view/j/jnma.just-accepted/jnma-2017-0109/jnma-2017-0109.xml?format=INT},
pdf = {https://arxiv.org/pdf/1604.04529.pdf},
note = {first online},
volume = {00},
pages = {--},
doi = {10.1515/jnma-2017-0109},
year = {2018}
}
@article{FL_JSC_2018,
author = {Fu, Guosheng and Lehrenfeld, Christoph},
title = {A Strongly Conservative Hybrid {DG}/Mixed {FEM} for the Coupling of {Stokes} and {Darcy} Flow},
journal = {Journal of Scientific Computing},
volume = {77},
issue = {3},
pages = {1605--1620},
issn = {1573-7691},
doi = {10.1007/s10915-018-0691-0},
url = {https://doi.org/10.1007/s10915-018-0691-0}
}
@article{SLLL_SEMA_2018,
title = {Towards computable flows and robust estimates for inf-sup stable {FEM} applied to the time-dependent incompressible {Navier-Stokes} equations},
author = {Schroeder, Philipp W. and Linke, Alexander and Lehrenfeld, Christoph and Lube, Gert},
journal = {SeMA Journal},
doi = {10.1007/s40324-018-0157-1},
year = {2018},
month = {April},
day = {13},
volume = {75},
number = {4},
pages = {629--653},
doi = {10.1007/s40324-018-0157-1},
url = {https://doi.org/10.1007/s40324-018-0157-1}
}
@article{dPLM_CAMWA_2017,
title = {A note on the penalty parameter in {Nitsche's} method for unfitted boundary value problems},
author = {de Prenter, Frits and Lehrenfeld, Christoph and Massing, Andr{\'e}},
journal = {Computers and Mathematics with Applications},
year = {2018},
volume = {75},
issue = {12},
pages = {4322--4336},
issn = {0898-1221},
doi = {https://doi.org/10.1016/j.camwa.2018.03.032},
url = {http://www.sciencedirect.com/science/article/pii/S0898122118301688},
pdf = {https://arxiv.org/pdf/1709.05832.pdf}
}
@article{LLS_SIAM_2017,
title = {Hybrid Discontinuous {Galerkin} methods with relaxed {H(div)}-conformity for incompressible flows. Part I},
author = {Lederer, Philip L. and Lehrenfeld, Christoph and Sch{\"o}berl, Joachim},
journal = {SIAM J. Numer. Anal.},
year = {2018},
volume = {56},
issue = {4},
pages = {2070--2094},
doi = {10.1137/17M1138078},
notes = { NAM preprint 2017-05},
url = {https://arxiv.org/abs/1707.02782},
pdf = {https://arxiv.org/pdf/1707.02782.pdf}
}
@article{LOX_SIAM_2017,
title = {A stabilized trace finite element method for partial differential equations on evolving surfaces},
author = {Lehrenfeld, Christoph and Olshanskii, Maxim A. and Xu, Xianmin},
journal = {SIAM J. Numer. Anal.},
year = {2018},
volume = {56},
issue = {3},
pages = {1643--1672},
doi = {10.1137/17M1148633},
url = {https://arxiv.org/abs/1709.07117},
pdf = {https://arxiv.org/pdf/1709.07117.pdf}
}
@article{SJLLLS_CAMWA_2019,
title = {On reference solutions and the sensitivity of the {2D} {Kelvin--Helmholtz} instability problem},
author = {Schroeder, Philipp W. and John, Volker and Lederer, Philip L. and Lehrenfeld, Christoph and Lube, Gert and Schöberl, Joachim},
journal = {Computers \& Mathematics with Applications},
volume = {77},
number = {4},
pages = {1010--1028},
year = {2019},
publisher = {Elsevier}
}
@article{LLS_ESAIM_2019,
title = {Hybrid Discontinuous {Galerkin} methods with relaxed {H(div)}-conformity for incompressible flows. Part II},
author = {Lederer, Philip L. and Lehrenfeld, Christoph and Sch{\"o}berl, Joachim},
journal = {ESAIM: M2AN},
year = {2019},
volume = {53},
pages = {503--522},
doi = {10.1051/m2an/2018054},
notes = { NAM preprint 2017-05},
url = {https://arxiv.org/abs/1707.02782},
pdf = {https://arxiv.org/pdf/1707.02782.pdf}
}
@article{LO_ESAIM_2019,
title = {An {Eulerian} Finite Element Method for {PDE}s in time-dependent domains},
author = {Lehrenfeld, Christoph and Olshanskii, Maxim A.},
journal = {ESAIM: M2AN},
year = {2019},
volume = {53},
pages = {585--614},
doi = {10.1051/m2an/2018068},
url = {https://arxiv.org/abs/1803.01779},
pdf = {https://arxiv.org/pdf/1803.01779.pdf}
}
@article{LR_ACOM_2019,
title = {Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem},
author = {Lehrenfeld, Christoph and Rave, Stephan},
journal = {Advances in Computational Mathematics},
pages = {1--25},
year = {2018},
publisher = {Springer},
code = {https://zenodo.org/record/2539712},
url = {https://link.springer.com/article/10.1007/s10444-019-09691-z},
pdf = {https://arxiv.org/pdf/1805.01812.pdf}
}
@article{vWRLHM_CF_2019,
title = {Numerical benchmarking of fluid-rigid body interactions},
author = {von Wahl, Henry and Richter, Thomas and Lehrenfeld, Christoph and Heiland, Jan and Minakowski, Piotr},
journal = {Computers \& Fluids},
pages = {104290},
year = {2019},
publisher = {Elsevier},
url = {https://doi.org/10.1016/j.compfluid.2019.104290},
code = {https://zenodo.org/record/3253455},
keywords = {Benchmarking, Computational fluid dynamics, Fluid–structure interaction, Finite elements, Code validation, Reference values}
}
@article{FKLLS_IJNMF_2019,
title = {High-order {DG} solvers for under-resolved turbulent incompressible flows: A comparison of {L2} and {H(div)} methods},
author = {Fehn, Niklas and Kronbichler, Martin and Lehrenfeld, Christoph and Lube, Gert and Schroeder, Philipp W.},
journal = {International Journal for Numerical Methods in Fluids},
volume = {91},
number = {11},
pages = {533-556},
keywords = {discontinuous Galerkin, high-order finite elements, incompressible Navier-Stokes equations, Taylor-Green vortex, turbulent channel flow, underresolved turbulent flows},
doi = {10.1002/fld.4763},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.4763},
year = {2019},
pdf = {https://arxiv.org/pdf/1905.00142.pdf}
}
@article{LLS_IJNME_2019,
title = {Divergence-free tangential finite element methods for incompressible flows on surfaces},
author = {Lederer, Philip L. and Lehrenfeld, Christoph and Sch\"{o}berl, Joachim},
volume = {121},
number = {11},
pages = {2503-2533},
keywords = {divergence-conforming finite elements, incompressible Navier-Stokes equations, Piola transformation, surface PDEs, tangential vector field},
doi = {10.1002/nme.6317},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6317},
year = {2020},
code = {https://zenodo.org/record/3406173},
eprint = {1909.06229},
archiveprefix = {arXiv},
pdf = {https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.6317}
}
@article{PHL_ARXIV_2020,
title = {Sweeping preconditioners for stratified media in the presence of reflections},
author = {Janosch Preuß and Thorsten Hohage and Christoph Lehrenfeld},
journal = {Springer Nature Partial Differential Equations and Applications},
keywords = {Helmholtz equation, Dirichlet-to-Neumann operator, Preconditioning, Domain decomposition, High-frequency waves, Computational seismology, Perfectly matched layers, Sweeping preconditioner},
volume = {1},
issue = {17},
year = {2020},
eprint = {2002.12016},
archiveprefix = {arXiv},
primaryclass = {math.NA},
doi = {10.1007/s42985-020-00019-x},
url = {https://link.springer.com/article/10.1007/s42985-020-00019-x},
pdf = {https://link.springer.com/content/pdf/10.1007/s42985-020-00019-x.pdf},
code = {https://zenodo.org/record/3686802}
}
@article{FLLS_ARXIV_2020,
title = {Locking free and gradient robust {H(div)}-conforming {HDG} methods for linear elasticity},
author = {Guosheng Fu and Christoph Lehrenfeld and Alexander Linke and Timo Streckenbach},
journal = {Journal of Scientific Computing},
keywords = {linear elasticity, nearly incompressible, locking phenomenon, volumelocking, gradient-robustness, Discontinuous Galerkin, H(div)-conforming HDG methods},
year = {2021},
issue = {86},
number = {39},
eprint = {2001.08610},
archiveprefix = {arXiv},
primaryclass = {math.NA},
url = {https://link.springer.com/article/10.1007/s10915-020-01396-6},
doi = {https://doi.org/10.1007/s10915-020-01396-6},
pdf = {https://arxiv.org/pdf/2001.08610.pdf}
}
@article{IMAJNA_vWRL_2021,
author = {von Wahl, Henry and Richter, Thomas and Lehrenfeld, Christoph},
title = {An unfitted {Eulerian} finite element method for the time-dependent {Stokes} problem on moving domains},
journal = {IMA Journal of Numerical Analysis},
year = {2021},
month = {07},
issn = {0272-4979},
doi = {10.1093/imanum/drab044},
url = {https://doi.org/10.1093/imanum/drab044},
code = {https://zenodo.org/record/3647571},
pdf = {https://arxiv.org/pdf/2002.02352.pdf},
eprint = {https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drab044/38864286/drab044.pdf}
}
@article{JOSS_LHPvW_2021,
doi = {10.21105/joss.03237},
url = {https://doi.org/10.21105/joss.03237},
year = {2021},
publisher = {The Open Journal},
volume = {6},
number = {64},
pages = {3237},
author = {Christoph Lehrenfeld and Fabian Heimann and Janosch Preuß and Henry von Wahl},
title = {\texttt{ngsxfem}: Add-on to {NGSolve} for geometrically unfitted finite element discretizations},
keywords = {numerical software, open source software, NGSolve, unfitted FEM, level set geometries, space-time, higher order FEM},
code = {https://github.com/ngsxfem/ngsxfem},
journal = {Journal of Open Source Software}
}
@article{HLP2021,
title = {Learned infinite elements},
author = {Thorsten Hohage and Christoph Lehrenfeld and Janosch Preu\ss},
year = {2021},
journal = {SIAM J. Sci. Comput.},
volume = {43},
number = {5},
pages = {A3552-A3579},
doi = {10.1137/20M1381757},
code = {https://doi.org/10.25625/XPLPRR},
keywords = {transparent boundary conditions, Dirichlet-to-Neumann map, helioseismology, learning, infinite elements, rational approximation, Helmholtz equation}
}
@article{Stocker_JOSS_2022,
doi = {10.21105/joss.04135},
url = {https://doi.org/10.21105/joss.04135},
year = {2022},
publisher = {The Open Journal},
volume = {7},
number = {71},
pages = {4135},
author = {Paul Stocker},
title = {\texttt{NGSTrefftz}: Add-on to {NGSolve} for {Trefftz} methods},
keywords = {numerical software, open source software, NGSolve, Trefftz DG, higher order FEM},
code = {https://github.com/PaulSt/ngstrefftz},
journal = {Journal of Open Source Software}
}
@article{LL_SINUM_2022,
title = {Isoparametric unfitted {BDF} -- Finite element method for {PDEs} on evolving domains},
author = {Yimin Lou and Christoph Lehrenfeld},
journal = {SIAM Journal on Numerical Analysis},
volume = {60},
number = {4},
pages = {2069-2098},
year = {2022},
doi = {10.1137/21M142126X},
url = {https://doi.org/10.1137/21M142126X},
pdf = {https://arxiv.org/pdf/2105.09162.pdf},
code = {https://gitlab.gwdg.de/lehrenfeld/repro-isop-unf-bdf-fem},
keywords = {Eulerian time stepping, isoparametric FEM, unfitted FEM, evolving domains,ghost penalty, stabilization, higher order FEM, BDF, projection errors}
}