Arbeitsgruppe Numerik Singulär Gestörter Partieller Differentialgleichungen - NAM
Veröffentlichungen


Viele der folgenden Arbeiten sind über die Preprint-Reihe des Instituts für Numerische und Angewandte Mathematik verfügbar.

    • W. Lemster, G. Lube, G. Of, O. Steinbach:
      Analysis of a kinematic dynamo model with FEM-BEM coupling.
      TU Graz, Institut für Numerische Mathematik, Bericht 2012/3 (May 2012).
    • L. Röhe, G. Lube:
      Layer-adapted meshes vs. weak Dirichlet boundary conditions in low-turbulent flow simulations.
      NAM-Preprint, January 2012, accepted to Proceed. ENUMATH Conf. 2011 (March 2012).
    • S.C. Kramer, C. Pfaffenbach, G. Lube:
      Parallel preconditioning for low-turbulent indoor airflow RANS simulations,
      NAM-Preprint, December 2011, accepted to Proceed. ENUMATH Conf. 2011 (March 2012).
    • M. Braack, G. Lube, L. Röhe:
      Divergence preserving interpolation on anisotropic quadrilateral meshes,
      Comput. Meths. Appl Math. 12 (2012) 2, 123-138.
    • J. Löwe, G. Lube:
      A projection-based variational multiscale method for large-eddy simulation with application to non-isothermal free-convection problems,
      Math. Model. Meths. Appl. Sc. 22 (2012) 2, DOI 10.1142/S0218202511500114.
    • L. Röhe, G. Lube:
      Large-eddy simulation of wall-bounded turbulent flows - Layer-adapted meshes vs. weak Dirichlet boundary conditions -.
      BAIL 2010 - Boundary and Interior Layers, C. Clavero, J.L. Gracia, F.J. Lisbona (Eds.),
      Springer-Verlag, Lecture Notes in Computational Science and Engineering, Vol. 81 (2011), pp. 197-206. pdf-file.
    • J. Löwe, G. Lube, L. Röhe:
      A projection-based variational multiscale method for the incompressible Navier-Stokes/Fourier model.
      BAIL 2010 - Boundary and Interior Layers, C. Clavero, J.L. Gracia, F.J. Lisbona (Eds.),
      Springer-Verlag, Lecture Notes in Computational Science and Engineering, Vol. 81 (2011), pp. 167-176. pdf-file.
    • Röhe, L., Lube, G.:
      Analysis of a variational multiscale method for large-eddy simulation and its application to homogeneous isotropic turbulence,
      Comput. Meth. Appl. Mech. Engrg. 199 (2010) 2331-2342.pdf-file.
    • Heister, T., Lube, G., Rapin, G.:
      On robust parallel preconditioning for incompressible flow problems.
      in: G. Kreisss et al. (eds.), Numerical Mathematics and Advanced Applications, 2009 Springer-Verlag Berlin Heidelberg 2010, 441-448.
    • Lemster, W., Lube, G.:
      A MHD problem on unbounded domains: Coupling of FEM and BEM,
      in: G. Kreisss et al. (eds.), Numerical Mathematics and Advanced Applications, 2009 Springer-Verlag Berlin Heidelberg 2010, 587-594.
    • Lube, G., Tews, B.:
      Optimal control of singularly perturbed advection-diffusion-reaction problems.
      Math. Model. Meths. Appl. Sc. 20 (2010) 3, 375-395.
    • Knopp, T., Zhang, X.Q., Kessler, R., Lube, G.:
      Calibration of a finite volume discretization and of model parameters for incompressible large eddy-type simulations.
      Comput. Meth. Appl. Mech. Engrg. 199 (2010) 13-16, 890-902
    • Olshanskii, M., Lube, G., Heister, T., Löwe, J.:
      Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations,
      Comput. Meth. Appl. Mech. Engrg. 198 (2009), 3975-3988
    • Knobloch, P., Lube, G.:
      Local projection stabilization for advection-diffusion-reaction problems: One-level vs. two-level approach.
      Appl. Numer. Math. 59 (2009), 2891-2907
    • Zhang, X.Q., Knopp, T., Valentino, M., Kessler, R., Lube, G.:
      Investigation of resolution requirements for wall-modelled LES of attached and massively separated flows at high Reynolds numbers.
      in: A. Dillmann et al. (eds.) New Results in Numerical and Experimental Fluid Mechanics VII,
      Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Springer-Verlag 2009, 167--174.
    • Matthies, G., Lube, G., Röhe, L.:
      Some remarks on streamline-diffusion methods for inf-sup stable discretisations of the generalised Oseen problem,
      Comp. Meths. Appl. Math. 9 (2009) 4, 1-23.
    • Lube, G., Tews, B.:
      Distributed and boundary control of singularly perturbed advection-diffusion-reaction problems.
      Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008.
      Lecture Notes in Computational Science and Engineering, Volume 69. Springer Berlin Heidelberg (2009), 205-215
    • Braack, M., Lube, G.:
      Finite elements with local projection stabilization for incompressible flow problems.
      J. Comp. Math. 27 (2009), 116-147.
    • Lube, G., Rapin, G., Löwe, J.:
      Local projection stabilization for incompressible flows: Equal-order vs. inf-sup stable interpolation.
      ETNA 32 (2008) 106-122.
    • Lube, G., Rapin, G., Löwe, J.:
      Local projection stabilization of finite elements for incompressible flows.
      In: K. Kunisch et al. (eds.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007. Springer 2008, 481-488.
    • Rapin, G.,Lube, G., Löwe, J.:
      Applying local projection stabilization to inf-sup stable elements.
      In: K. Kunisch et al. (eds.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007. Springer 2008, 521-528.
    • Zhang, X.Q., Knopp, T., Lube, G.:
      Calibration of model and discretization parameters for turbulent channel flow.
      In: K. Kunisch et al. (eds.), Numer. Math. Adv. Applic., Proceed. ENUMATH 2007. Springer 2008, 529-537.
    • Lube, G., Knopp, T., Rapin, G., Gritzki, R., Rösler, M.:
      Application of stabilized finite element methods to indoor air flow simulations.
      Intern. J. Numer. Meth. Fluids 57 (2008), 1269-1290.
    • Apel, Th. , Knopp, T., Lube, G.:
      Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem,
      Appl. Numer. Math. 58 (2008), pp. 1830 - 1843.
    • Lube, G., Knopp, T., Gritzki, R., Rösler, M., Seifert, J.:
      Application of domain decomposition methods to indoor air flow simulation,
      Intern. J. Comput. Math. 85 (2008) 10, pp. 1551 - 1562
    • Braack, M., Burman, E., John, V., Lube, G.:
      Stabilized finite element methods for the generalized Oseen problem,
      Comp. Meth. Appl.Mech. Engrg. 196 (2007) 4-6, 853-866,
    • Knopp, T., Lube, G., Rapin, G.:
      Non-overlapping Domain Decomposition Methods for Incompressible Flows,
      In: Mesh Partitioning Techniques and Domain Decomposition Methods (edited by F. Magoules),
      Saxe-Coburg Publications 2007, pp. 239-268
    • Apel, Th. , Knopp, T., Lube, G.:
      Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem,
      Proc. Intern. Conf. Boundary and Interior Layers (BAIL 2006), Göttingen, Lube, G., Rapin, G. (Eds.), pp. 1-8.
    • Lube, G.:
      Stabilized FEM for incompressible flows. A critical review and new trends,
      Proceedings of ECCOMAS CFD 2006, pp. 1-20.
    • Lube, G., Knopp, T., Gritzki, R.:
      Stabilized FEM with anisotropic mesh refinement for the Oseen problem,
      Proceedings ENUMATH 2005, pp. 799-806, Springer 2006.
    • Lube, G., Rapin, G.:
      Residual-based stabilized higher-order FEM for a generalized Oseen problem,
      Math. Mod. Meths. Appl. Sc. 16 (2006) 7, 949-966
    • Lube, G., Rapin, G.:
      Residual-based stabilized higher-order FEM for advection-diffusion problems,
      Computer Meths. Applied Mechan. Engrg. 195 (2006), 4124-4138.


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