Prof. Dr. Gert Lube

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  • 2021 | Journal Article | 
    ​ ​A CUDA fast multipole method with highly efficient M2L far field evaluation​
    Kohnke, B.; Kutzner, C.; Beckmann, A.; Lube, G. ; Kabadshow, I.; Dachsel, H. & Grubmüller, H. ​ (2021) 
    The International Journal of High Performance Computing Applications, 35(1) pp. 97​-117​.​ DOI: https://doi.org/10.1177/1094342020964857 
    ​Details  DOI 
  • 2019 | Journal Article
    ​ ​Viscous dissipation in DG methods for turbulent incompressible flows​
    Lehrenfeld, C. ; Lube, G.   & Schröder, P. W. ​ (2019) 
    Proceedings in Applied Mathematics and Mechanics, 19(1).​ DOI: https://doi.org/10.1002/pamm.201900049 
    ​Details  DOI 
  • 2019 | Journal Article | 
    ​ ​High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H(div)$ methods​
    Fehn, N.; Kronbichler, M.; Lehrenfeld, C. ; Lube, G.   & Schröder, P. W. ​ (2019) 
    International Journal for Numerical Methods in Fluids, 91(11) pp. 533​-556​.​ DOI: https://doi.org/10.1002/fld.4763 
    ​Details  DOI  arXiv 
  • 2018 | Journal Article | Research Paper
    ​ ​On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem​
    Schröder, P. W. ; John, V.; Lederer, P. L.; Lehrenfeld, C. ; Lube, G.   & Schöberl, J.​ (2018) 
    Computers & Mathematics with Applications, 77(4) pp. 1010​-1028​.​ DOI: https://doi.org/10.1016/j.camwa.2018.10.030 
    ​Details  DOI  arXiv 
  • 2018 | Journal Article
    ​ ​Numerical simulation of Bloch equations for dynamic magnetic resonance imaging​
    Hazra, A.; Lube, G.   & Raumer, H.-G.​ (2018) 
    Applied Numerical Mathematics, 123 pp. 241​-255​.​ DOI: https://doi.org/10.1016/j.apnum.2017.09.007 
    ​Details  DOI 
  • 2018 | Journal Article
    ​ ​Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier–Stokes equations​
    Schröder, P. W. ; Lehrenfeld, C. ; Linke, A. & Lube, G. ​ (2018) 
    SeMA Journal, 75(4) pp. 629​-653​.​ DOI: https://doi.org/10.1007/s40324-018-0157-1 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​Divergence-Free H(div)-FEM for Time-Dependent Incompressible Flows with Applications to High Reynolds Number Vortex Dynamics​
    Schröder, P. W.   & Lube, G. ​ (2017) 
    Journal of Scientific Computing, 75(2) pp. 830​-858​.​ DOI: https://doi.org/10.1007/s10915-017-0561-1 
    ​Details  DOI 
  • 2017 | Journal Article | Research Paper
    ​ ​Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier–Stokes flows​
    Schröder, P. W.   & Lube, G. ​ (2017) 
    Journal of Numerical Mathematics, 25(4).​ DOI: https://doi.org/10.1515/jnma-2016-1101 
    ​Details  DOI 
  • 2017 | Journal Article
    ​ ​Stabilised dG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshes​
    Schroeder, P. W.   & Lube, G. ​ (2017) 
    Journal of Computational Physics, 335 pp. 760​-779​.​ DOI: https://doi.org/10.1016/j.jcp.2017.01.055 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Stabilized nodal-based finite element methods for the magnetic induction problem​
    Kaya, U.; Wacker, B. & Lube, G. ​ (2016) 
    Mathematical Methods in the Applied Sciences, 39(13) pp. 3576​-3590​.​ DOI: https://doi.org/10.1002/mma.3801 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics​
    Wacker, B.; Arndt, D. & Lube, G. ​ (2016) 
    Computer Methods in Applied Mechanics and Engineering, 302 pp. 170​-192​.​ DOI: https://doi.org/10.1016/j.cma.2016.01.004 
    ​Details  DOI  WoS 
  • 2016 | Journal Article
    ​ ​Local projection stabilization for the Oseen problem​
    Dallmann, H.; Arndt, D. & Lube, G. ​ (2016) 
    IMA Journal of Numerical Analysis, 36(2) pp. 796​-823​.​ DOI: https://doi.org/10.1093/imanum/drv032 
    ​Details  DOI  WoS 
  • 2015 | Journal Article
    ​ ​Local Projection FEM Stabilization for the Time-Dependent Incompressible Navier-Stokes Problem​
    Arndt, D.; Dallmann, H. & Lube, G. ​ (2015) 
    Numerical Methods for Partial Differential Equations, 31(4) pp. 1224​-1250​.​ DOI: https://doi.org/10.1002/num.21944 
    ​Details  DOI  WoS 
  • 2014 | Journal Article
    ​ ​Analysis of a kinematic dynamo model with FEM-BEM coupling​
    Lemster, W.; Lube, G. ; Of, G. & Steinbach, O.​ (2014) 
    Mathematical Methods in the Applied Sciences, 37(16) pp. 2484​-2501​.​ DOI: https://doi.org/10.1002/mma.2991 
    ​Details  DOI  WoS 
  • 2012 | Journal Article
    ​ ​Divergence Preserving Interpolation on Anisotropic Quadrilateral Meshes​
    Braack, M.; Lube, G.   & Röhe, L.​ (2012) 
    Computational Methods in Applied Mathematics, 12(2) pp. 123​-138​.​ DOI: https://doi.org/10.2478/cmam-2012-0016 
    ​Details  DOI 
  • 2012 | Preprint
    ​ ​Layer-adapted meshes vs. weak Dirichlet boundary conditions in low-turbulent flow simulations​
    Röhe, L.& Lube, G. ​ (2012)
    ​Details 
  • 2012 | Journal Article
    ​ ​A projection-based variational multiscale method for large-eddy simulation with application to non-isothermal free-convection problems​
    Loewe, J. & Lube, G. ​ (2012) 
    Mathematical Models and Methods in Applied Sciences, 22(2) art. 1150011​.​ DOI: https://doi.org/10.1142/S0218202511500114 
    ​Details  DOI  WoS 
  • 2011 | Preprint
    ​ ​Parallel preconditioning for low-turbulent indoor airflow RANS simulations​
    Kramer, S. C.; Pfaffenbach, C.& Lube, G. ​ (2011)
    ​Details 
  • 2011 | Book Chapter
    ​ ​Large-eddy simulation of wall-bounded turbulent flows - Layer-adapted meshes vs. weak Dirichlet boundary conditions​
    Röhe, L.& Lube, G. ​ (2011)
    In:​Clavero, C.; Gracia, J. L.; Lisbona, F. J.​ (Eds.), BAIL 2010 - Boundary and Interior Layers pp. 197​-206. ​Springer.
    ​Details 
  • 2011 | Book Chapter
    ​ ​A projection-based variational multiscale method for the incompressible Navier-Stokes/Fourier model​
    Löwe, J.; Lube, G.  & Röhe, L.​ (2011)
    In:​Clavero, C.; Gracia, J. L.; Lisbona, F. J.​ (Eds.), BAIL 2010 - Boundary and Interior Layers pp. 167​-176. ​Springer.
    ​Details 
  • 2010 | Journal Article
    ​ ​Enhancement of an industrial finite-volume code for large-eddy-type simulation of incompressible high Reynolds number flow using near-wall modelling​
    Knopp, T.; Zhang, X.; Kessler, R. & Lube, G. ​ (2010) 
    Computer Methods in Applied Mechanics and Engineering, 199(13-16) pp. 890​-902​.​ DOI: https://doi.org/10.1016/j.cma.2009.01.005 
    ​Details  DOI  WoS 
  • 2010 | Journal Article
    ​ ​Calibration of a finite volume discretization and of model parameters for incompressible large eddy-type simulations​
    Knopp, T.; Zhang, X. Q.; Kessler, R. & Lube, G. ​ (2010) 
    Computer Methods in Applied Mechanics and Engineering, 199 pp. 13​-16​.​
    ​Details 
  • 2010 | Book Chapter
    ​ ​On robust parallel preconditioning for incompressible flow problems​
    Heister, T.; Lube, G.  & Rapin, G.​ (2010)
    In:​Kreisss, G.​ (Ed.), Numerical Mathematics and Advanced Applications pp. 441​-448. ​Berlin: ​Springer.
    ​Details 
  • 2010 | Book Chapter
    ​ ​A MHD problem on unbounded domains: Coupling of FEM and BEM​
    Lemster, W.& Lube, G. ​ (2010)
    In:​Kreisss, G.​ (Ed.), Numerical Mathematics and Advanced Applications pp. 587​-594. ​Berlin: ​Springer.
    ​Details 
  • 2010 | Journal Article
    ​ ​Analysis of a variational multiscale method for Large-Eddy simulation and its application to homogeneous isotropic turbulence​
    Roehe, L. & Lube, G. ​ (2010) 
    Computer Methods in Applied Mechanics and Engineering, 199(37-40) pp. 2331​-2342​.​ DOI: https://doi.org/10.1016/j.cma.2010.02.015 
    ​Details  DOI  WoS 
  • 2010 | Journal Article
    ​ ​Optimal control of singularly perturbed advection-diffusion-reaction problems​
    Lube, G.   & Tews, B.​ (2010) 
    Mathematical Models and Methods in Applied Sciences, 20(3) pp. 375​-395​.​ DOI: https://doi.org/10.1142/S0218202510004271 
    ​Details  DOI  WoS 
  • 2009 | Journal Article
    ​ ​Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations​
    Olshanskii, M.; Lube, G. ; Heister, T. & Loewe, J.​ (2009) 
    Computer Methods in Applied Mechanics and Engineering, 198(49-52) pp. 3975​-3988​.​ DOI: https://doi.org/10.1016/j.cma.2009.09.005 
    ​Details  DOI  WoS 
  • 2009 | Conference Paper
    ​ ​Finite elements with local projection stabilization for incompressible flow problems​
    Braack, M. & Lube, G. ​ (2009)
    Journal of Computational Mathematics, 27(2-3) pp. 116​-147. ​2nd Sino-German Workshop on Computational and Applied Mathematics​, Hangzhou, PEOPLES R CHINA.
    Wanchai​: Global Science Press.
    ​Details  WoS 
  • 2009 | Book Chapter
    ​ ​Distributed and boundary control of singularly perturbed advection-diffusion-reaction problems​
    Lube, G.  & Tews, B.​ (2009)
    In: Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008 pp. 205​-215. ​Berlin: ​Springer.
    ​Details 
  • 2009 | Book Chapter
    ​ ​Investigation of resolution requirements for wall-modelled LES of attached and massively separated flows at high Reynolds numbers​
    Zhang, X. Q.; Knopp, T.; Valentino, M.; Kessler, R.& Lube, G. ​ (2009)
    In:​Dillmann, A.​ (Ed.), New Results in Numerical and Experimental Fluid Mechanics VII pp. 167​-174. ​Springer.
    ​Details 
  • 2009 | Journal Article
    ​ ​Local projection stabilization for advection-diffusion-reaction problems: One-level vs. two-level approach​
    Knobloch, P. & Lube, G. ​ (2009) 
    Applied Numerical Mathematics, 59(12) pp. 2891​-2907​.​ DOI: https://doi.org/10.1016/j.apnum.2009.06.004 
    ​Details  DOI  WoS 
  • 2009 | Journal Article | 
    ​ ​Some remarks on residual-based stabilisation of inf-sup stable discretisations of the generalised oseen problem​
    Matthies, G.; Lube, G.   & Röhe, L.​ (2009) 
    Computational methods in applied mathematics, 9(4) pp. 368​-390​.​
    ​Details 
  • 2008 | Conference Paper
    ​ ​Stabilized finite element methods to predict ventilation efficiency and thermal comfort in buildings​
    Lube, G. ; Knopp, T.; Rapin, G.; Gritzki, R. & Roesler, M.​ (2008)
    International Journal for Numerical Methods in Fluids, 57(9) pp. 1269​-1290. ​14th International Conference on Finite Elements in Flow Problems​, Santa Fe, NM.
    Chichester​: John Wiley & Sons. DOI: https://doi.org/10.1002/fld.1790 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem​
    Apel, T.; Knopp, T. & Lube, G. ​ (2008) 
    Applied Numerical Mathematics, 58(12) pp. 1830​-1843​.​ DOI: https://doi.org/10.1016/j.apnum.2007.11.016 
    ​Details  DOI  WoS 
  • 2008 | Book Chapter
    ​ ​Local projection stabilization of finite elements for incompressible flows​
    Lube, G. ; Rapin, G.& Löwe, J.​ (2008)
    In:​Kunisch, K.​ (Ed.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007 pp. 481​-488. ​Springer.
    ​Details 
  • 2008 | Book Chapter
    ​ ​Applying local projection stabilization to inf-sup stable elements​
    Rapin, G.; Lube, G.  & Löwe, J.​ (2008)
    In:​Kunisch, K.​ (Ed.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007 pp. 521​-528. ​Springer.
    ​Details 
  • 2008 | Book Chapter
    ​ ​Calibration of model and discretization parameters for turbulent channel flow​
    Zhang, X. Q.; Knopp, T.& Lube, G. ​ (2008)
    In:​Kunisch, K.​ (Ed.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007 pp. 529​-537. ​Springer.
    ​Details 
  • 2008 | Conference Paper
    ​ ​Application of domain decomposition methods to indoor air flow simulation​
    Lube, G. ; Knopp, T.; Gritzki, R.; Roesler, M. & Seifert, J.​ (2008)
    International Journal of Computer Mathematics, 85(10) pp. 1551​-1562. ​Japan-France Conference on Analytical and Numerical Methods for Scientific Computing in Science and Engineering​, Univ Henri Poincare, Nancy, FRANCE.
    Abingdon​: Taylor & Francis. DOI: https://doi.org/10.1080/00207160802033541 
    ​Details  DOI  WoS 
  • 2008 | Journal Article
    ​ ​Local projection stabilization for incompressible flows: Equal-order vs. inf-sup stable interpolation​
    Lube, G. ; Rapin, G. & Loewe, J.​ (2008) 
    Electronic Transactions on Numerical Analysis, 32 pp. 106​-122​.​
    ​Details  WoS 
  • 2007 | Journal Article
    ​ ​Stabilized finite element methods for the generalized Oseen problem​
    Braack, M.; Burman, E.; John, V. & Lube, G. ​ (2007) 
    Computer Methods in Applied Mechanics and Engineering, 196(4-6) pp. 853​-866​.​ DOI: https://doi.org/10.1016/j.cma.2006.07.011 
    ​Details  DOI  WoS 
  • 2007 | Book Chapter
    ​ ​Non-overlapping Domain Decomposition Methods for Incompressible Flows​
    Knopp, T.; Lube, G.  & Rapin, G.​ (2007)
    In:​Magoules, F.​ (Ed.), Mesh Partitioning Techniques and Domain Decomposition Methods pp. 239​-268. ​Saxe-Coburg Publications.
    ​Details 
  • 2006 | Book Chapter
    ​ ​Stabilized FEM with anisotropic mesh refinement for the Oseen problem​
    Lube, G. ; Knopp, T.& Gritzki, R.​ (2006)
    In: Proceedings ENUMATH 2005 pp. 799​-806. ​Springer.
    ​Details 
  • 2006 | Book Chapter
    ​ ​Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem​
    Apel, T.; Knopp, T.& Lube, G. ​ (2006)
    In:​Lube, Gert; Rapin, G.​ (Eds.), Proc. Intern. Conf. Boundary and Interior Layers (BAIL 2006) pp. 1​-8. ​Göttingen. 
    ​Details 
  • 2006 | Book Chapter
    ​ ​Stabilized FEM for incompressible flows. A critical review and new trends​
    Lube, G. ​ (2006)
    In: Proceedings of ECCOMAS CFD 2006 pp. 1​-20. 
    ​Details 
  • 2006 | Journal Article
    ​ ​Residual-based stabilized higher-order FEM for advection-dominated problems​
    Lube, G.   & Rapin, G.​ (2006) 
    Computer Methods in Applied Mechanics and Engineering, 195(33-36) pp. 4124​-4138​.​ DOI: https://doi.org/10.1016/j.cma.2005.07.017 
    ​Details  DOI  WoS 
  • 2006 | Journal Article
    ​ ​Residual-based stabilized higher-order fem for a generalized Oseen problem​
    Lube, G.   & Rapin, G.​ (2006) 
    Mathematical Models and Methods in Applied Sciences, 16(7) pp. 949​-966​.​ DOI: https://doi.org/10.1142/S0218202506001418 
    ​Details  DOI  WoS 
  • 2005 | Journal Article
    ​ ​Stabilized finite element schemes with LBB-stable elements for incompressible flows​
    Gelhard, T.; Lube, G. ; Olshanskii, M. A. & Starcke, J. H.​ (2005) 
    Journal of Computational and Applied Mathematics, 177(2) pp. 243​-267​.​ DOI: https://doi.org/10.1016/j.cam.2004.09.017 
    ​Details  DOI  WoS 
  • 2005 | Journal Article
    ​ ​A near-wall strategy for buoyancy-affected turbulent flows using stabilized FEM with applications to indoor air flow simulation​
    Knopp, T.; Lube, G. ; Gritzki, R. & Rosler, M.​ (2005) 
    Computer Methods in Applied Mechanics and Engineering, 194(36-38) pp. 3797​-3816​.​ DOI: https://doi.org/10.1016/j.cma.2004.10.003 
    ​Details  DOI  WoS 
  • 2004 | Journal Article
    ​ ​A stabilized three-field formulation for advection-diffusion equations​
    Rapin, G. & Lube, G. ​ (2004) 
    Computing, 73(2) pp. 155​-178​.​ DOI: https://doi.org/10.1007/s00607-004-0069-0 
    ​Details  DOI  WoS 
  • 2002 | Journal Article
    ​ ​Stabilized finite element methods with shock capturing for advection-diffusion problems​
    Knopp, T.; Lube, G.   & Rapin, G.​ (2002) 
    Computer Methods in Applied Mechanics and Engineering, 191(27-28) art. PII S0045-7825(02)0222-0​.​ DOI: https://doi.org/10.1016/S0045-7825(02)00222-0 
    ​Details  DOI  WoS 
  • 2002 | Conference Paper
    ​ ​Iterative substructuring methods for incompressible non-isothermal flows and its application to indoor air flow simulation​
    Knopp, T.; Lube, G. ; Gritzki, R. & Rosler, M.​ (2002)
    International Journal for Numerical Methods in Fluids, 40(12) pp. 1527​-1538. ​Workshop on Domain Decomposition Methods in Fluid Mechanics​, UNIV GREENWICH, LONDON, ENGLAND.
    W sussex​: John Wiley & Sons Ltd. DOI: https://doi.org/10.1002/fld.409 
    ​Details  DOI  WoS 
  • 2002 | Journal Article
    ​ ​Stable finite-element calculation of incompressible flows using the rotation form of convection​
    Lube, G.   & Olshanskii, M. A.​ (2002) 
    IMA Journal of Numerical Analysis, 22(3) pp. 437​-461​.​ DOI: https://doi.org/10.1093/imanum/22.3.437 
    ​Details  DOI  WoS 
  • 2001 | Conference Paper
    ​ ​Stabilized FEM with shock-capturing for advection-diffusion problems​
    Knopp, T.; Lube, G.   & Rapin, G.​ (2001)
    ZAMM, 81 pp. S767​-S768. ​Annual Scientific Conference of the Society-for-Applied-Mathematics-and-Mechanics (GAMM 2000)​, UNIV GOTTINGEN, GOTTINGEN, GERMANY.
    Berlin​: Wiley-v C H Verlag Gmbh.
    ​Details  WoS 
  • 2001 | Journal Article
    ​ ​A nonoverlapping domain decomposition method for stabilized finite element approximations of the Oseen equations​
    Lube, G. ; Mueller, L. & Otto, F. C.​ (2001) 
    Journal of Computational and Applied Mathematics, 132(2) pp. 211​-236​.​ DOI: https://doi.org/10.1016/S0377-0427(00)00321-6 
    ​Details  DOI  WoS 
  • 2001 | Journal Article
    ​ ​An iterative substructuring method for div-stable finite element approximations of the Oseen problem​
    Otto, F. C.; Lube, G.   & Mueller, L.​ (2001) 
    Computing, 67(2) pp. 91​-117​.​ DOI: https://doi.org/10.1007/s006070170009 
    ​Details  DOI  WoS 
  • 2001 | Conference Paper
    ​ ​A nonoverlapping DDM for the nonstationary Navier-Stokes problem​
    Mueller, L. & Lube, G. ​ (2001)
    ZAMM, 81 pp. S725​-S726. , UNIV GOTTINGEN, GOTTINGEN, GERMANY.
    Berlin​: Wiley-v C H Verlag Gmbh.
    ​Details  WoS 
  • 2000 | Journal Article
    ​ ​A non-overlapping domain decomposition method for the advection-diffusion problem​
    Lube, G. ; Mueller, L. & Otto, F. C.​ (2000) 
    Computing, 64(1) pp. 49​-68​.​ DOI: https://doi.org/10.1007/s006070050003 
    ​Details  DOI  WoS 
  • 2000 | Journal Article
    ​ ​A new non-overlapping domain decomposition method for stabilized finite element methods applied to the non-stationary Navier-Stokes equations​
    Lube, G. ; Mueller, L. & Mueller, H.​ (2000) 
    Numerical Linear Algebra with Applications, 7(6) pp. 449​-472​.​
    ​Details  WoS 

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