Publications

Articles in Journals

  1. R. Hartmann and T. Leicht
    Generation of unstructured curvilinear grids and high-order Discontinuous Galerkin discretization applied to a 3D high-lift configuration
    Int. J. Num. Meth. Fluids, 82(6): 316-333, 2016.
    (Abstract, DOI: 10.1002/fld.4219, journal, BibTeX entry)

  2. R. Hartmann and T. Leicht
    Generalized adjoint consistent treatment of wall boundary conditions for compressible flows
    J. Comput. Phys., 300: 754-778, 2015.
    (Abstract, DOI: 10.1016/j.jcp.2015.07.042, journal, BibTeX entry)

  3. S. Renda, R. Hartmann, C. De Bartolo and M. Wallraff
    A high-order discontinuous Galerkin method for all-speed flows
    Int. J. Num. Meth. Fluids, 77(4): 224-247, 2015.
    (Abstract, DOI: 10.1002/fld.3987, journal, BibTeX entry)

  4. D. Li and R. Hartmann
    Adjoint-based airfoil optimization with discretization error control
    Int. J. Num. Meth. Fluids, 77(1): 1-17, 2015.
    (Abstract, DOI: 10.1002/fld.3971, journal, BibTeX entry)

  5. S. Schoenawa and R. Hartmann
    Discontinuous Galerkin discretization of the Reynolds-averaged Navier-Stokes equations with the shear-stress transport model
    J. Comput. Phys., 262: 194-216, 2014.
    (Abstract, DOI: 10.1016/j.jcp.2013.12.062, journal, BibTeX entry)

  6. Ralf Hartmann
    Higher-order and adaptive discontinuous Galerkin methods with shock-capturing applied to transonic turbulent delta wing flow
    Int. J. Numer. Meth. Fluids, 72(8): 883-894, 2013.
    (Abstract, DOI: 10.1002/fld.3762, journal, BibTeX entry)

  7. Z.J. Wang, K. Fidkowski, R. Abgrall, F. Bassi, D. Caraeni, A. Cary, H. Deconinck, R. Hartmann, K. Hillewaert, H.T. Huynh, N. Kroll, G. May, P.-O. Persson, B. van Leer and M. Visbal
    High-order CFD methods: current status and perspective
    Int. J. Numer. Meth. Fluids, 72(8): 811-845, 2013.
    (Abstract, DOI: 10.1002/fld.3767, journal, BibTeX entry)

  8. A. Nigro, S. Renda, C. De Bartolo, R. Hartmann and F. Bassi
    A high-order accurate discontinuous Galerkin finite element method for laminar low Mach number flows
    Int. J. Numer. Meth. Fluids, 72(1): 43-68, 2013.
    (Abstract, DOI: 10.1002/fld.3732, journal, BibTeX entry)

  9. R. Hartmann, J. Held and T. Leicht
    Adjoint-based error estimation and adaptive mesh refinement for the RANS and k-ω turbulence model equations
    J. Comput. Phys., 230(11): 4268-4284, 2011.
    (Abstract, DOI: 10.1016/j.jcp.2010.10.026, journal, BibTeX entry)

  10. R. Hartmann, J. Held, T. Leicht, and F. Prill
    Discontinuous Galerkin methods for computational aerodynamics - 3D adaptive flow simulation with the DLR PADGE code.
    Aerospace Science and Technology, 14: 512-519, 2010.
    (Abstract, DOI: 10.1016/j.ast.2010.04.002, journal, BibTeX entry)

  11. T. Leicht and R. Hartmann
    Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations
    J. Comput. Phys., 229(19): 7344-7360, 2010.
    (Abstract, DOI: 10.1016/j.jcp.2010.06.019, journal, BibTeX entry)

  12. A. Nigro, C. De Bartolo, R. Hartmann and F. Bassi
    Discontinuous Galerkin solution of preconditioned Euler equations for very low Mach number flows
    Int. J. Numer. Meth. Fluids, 63(4): 449-467, 2010.
    (Abstract, DOI: 10.1002/fld.2083, BibTeX entry)

  13. F. Prill, M. Lukacova-Medvidova and R. Hartmann
    Smoothed aggregation multigrid for the discontinuous Galerkin method
    SIAM J. Sci. Comput., 31(5): 3503-3528, 2009.
    (BibTeX entry)

  14. F. Bassi, C. De Bartolo, R. Hartmann and A. Nigro
    A discontinuous Galerkin method for inviscid low Mach number flows
    J. Comput. Phys., 228(11): 3996-4011, 2009.
    (Abstract, DOI: 10.1016/j.jcp.2009.02.021, journal, BibTeX entry)

  15. R. Hartmann, M. Lukacova-Medvidova and F. Prill
    Efficient Preconditioning for the Discontinuous Galerkin Finite Element Method by Low-Order Elements
    Appl. Numer. Math. 59(8): 1737-1753, 2009.
    (BibTeX entry)

  16. Ralf Hartmann
    Multitarget error estimation and adaptivity in aerodynamic flow simulations
    SIAM J. Sci. Comput., 31(1): 708-731, 2008.
    (Abstract, DOI: 10.1137/070710962, journal, BibTeX entry)

  17. R. Hartmann and P. Houston
    An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations
    J. Comput. Phys., 227(22): 9670-9685, 2008.
    (Abstract, journal, BibTeX entry)

  18. T. Leicht and R. Hartmann
    Anisotropic mesh refinement for discontinuous Galerkin methods in two-dimensional aerodynamic flow simulations
    Int. J. Numer. Meth. Fluids, 56(11): 2111-2138, 2008.
    (Abstract, journal, BibTeX entry)

  19. Ralf Hartmann
    Adjoint consistency analysis of Discontinuous Galerkin discretizations
    SIAM J. Numer. Anal., 45(6): 2671-2696, Dec. 2007.
    (Abstract, DOI: 10.1137/060665117, journal, BibTeX entry)

  20. Ralf Hartmann
    Error estimation and adjoint based refinement for an adjoint consistent DG discretization of the compressible Euler equations
    Int. J. Computing Science and Mathematics, 1(2-4): 207-220, 2007.
    (Abstract, BibTeX entry)

  21. W. Bangerth, R. Hartmann and G. Kanschat
    deal.II - A General Purpose Object Oriented Finite Element Library
    ACM Transactions on Mathematical Software, 33(4), Aug. 2007.
    (Abstract, BibTeX entry)

  22. Ralf Hartmann
    Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations
    Int. J. Numer. Meth. Fluids 51(9-10): 1131-1156, 2006.
    (Abstract, BibTeX entry)

  23. R. Hartmann and P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented A Posteriori Error Estimation
    Int. J. Numer. Anal. Model. 3(2): 141-162, 2006.
    (Abstract, download, journal, BibTeX entry)

  24. R. Hartmann and P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
    Int. J. Numer. Anal. Model. 3(1): 1-20, 2006.
    (Abstract, download, journal, BibTeX entry)

  25. R. Hartmann and P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations
    J. Comput. Phys., 183(2): 508-532, 2002.
    (Abstract, DOI: 10.1006/jcph.2002.7206, journal, BibTeX entry)

  26. R. Hartmann and P. Houston
    Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws
    SIAM J. Sci. Comput. 24(3): 979-1004, 2003.
    (Abstract, DOI: 10.1137/S1064827501389084, BibTeX entry)

Articles in Books and Collections (with peer-review)

  1. D. Li and R. Hartmann
    Adjoint-based error estimation and mesh refinement in an adjoint-based airfoil shape optimization of a transonic benchmark problem
    New Results in Numerical and Experimental Fluid Mechanics X: Contributions to the 19th STAB/DGLR Symposium Munich, Germany, 2014, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 132, pages 537-546, Springer, 2016.
    (Abstract, DOI: 10.1007/978-3-319-27279-5_47, BibTeX entry)

  2. M. Wallraff, R. Hartmann and T. Leicht
    Multigrid solver algorithms for DG methods and applications to aerodynamic flows
    In N. Kroll and C. Hirsch and F. Bassi and C. Johnston and K. Hillewaert, editors, IDIHOM - Industrialization of High-Order Methods - A Top Down Approach,
    Vol. 128 of Notes on Numerical Fluid Mechanics and Multidisciplinary Design, pages 153--178, Springer, 2015.
    (Abstract, DOI: 10.1007/978-3-319-12886-3_9, BibTeX entry)

  3. Ralf Hartmann
    Higher-order and adaptive Discontinuous Galerkin methods applied to turbulent delta wing flow
    In A. Dillmann, G. Heller, H.-P. Kreplin, W. Nitsche, and I. Peltzer, editors, New Results in Numerical and Experimental Fluid Mechanics VIII: Contributions to the 17th STAB/DGLR Symposium Berlin, Germany, 2010, Vol. 121 of Notes on Numerical Fluid Mechanics and Multidisciplinary Design, p. 497-505, Springer, 2013.
    (Abstract, Preprint(pdf), DOI: 10.1007/978-3-642-35680-3_59, BibTeX entry)

  4. T. Leicht and R. Hartmann
    Error estimation and hp-adaptive mesh refinement for discontinuous Galerkin methods
    In Z. J. Wang, editor, Adaptive High-Order Methods in Computational Fluid Dynamics, vol. 2 of Advances in Computational Fluid Dynamics, chap. 3, pp. 67-94, World Science Books, 2011.
    (Abstract, DOI: 10.1142/9789814313193_0003, book, BibTeX entry)

  5. R. Hartmann, J. Held, T. Leicht, and F. Prill
    Error estimation and adaptive mesh refinement for aerodynamic flows
    In N. Kroll, H. Bieler, H. Deconinck, V. Couallier, H. van der Ven and K. Sorensen, editors, ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications,
    vol. 113 of Notes on Numerical Fluid Mechanics and Multidisciplinary Design, pp. 339-353, Springer, 2010.
    (Abstract, Preprint(pdf), BibTeX entry)

  6. Ralf Hartmann
    The role of the Jacobian in the adaptive discontinuous Galerkin method for the compressible Euler equations
    In G. Warnecke, editor, Analysis and Numerics for Conservation Laws, pp. 301-316, Springer, 2005.
    (Abstract, Preprint(ps.gz), BibTeX entry)

Articles in Conference Proceedings (with and without peer-review)

  1. T. Leicht, D. Vollmer, J. Jägersküpper, A. Schwöppe, R. Hartmann, J. Fiedler, and T. Schlauch
    DLR-Project Digital-X: Next generation CFD solver 'Flucs'
    In Deutscher Luft- und Raumfahrtkongress 2016, 13.-15. Sept. 2016.
    (Abstract, pdf, BibTeX entry)

  2. R. Hartmann, Harlan McMorris and T. Leicht
    Curved grid generation and DG computation for the DLR-F11 high lift configuration
    In M. Papadrakakis, V. Papadopoulos, G. Stefanou and V. Plevris. Proceedings of the ECCOMAS Congress 2016, Crete Island, Greece, 5-10 June 2016.
    (Abstract, pdf, BibTeX entry)

  3. R. Hartmann and T. Leicht
    High-order unstructured grid generation and Discontinuous Galerkin discretization applied to a 3D high-lift configuration
    53rd AIAA Aerospace Sciences Meeting (SciTech 2015), AIAA 2015-0819, Kissimmee, Florida, 2015.
    (Abstract, BibTeX entry)

  4. Ralf Hartmann
    Higher-order and adaptive discontinuous Galerkin methods with shock-capturing applied to transonic turbulent delta wing flow
    50thAIAA Aerospace Sciences Meeting, AIAA 2012-459, Nashville, Tennessee, 2012.
    (Abstract, BibTeX entry)

  5. A. Nigro, S. Renda, C. De Bartolo, R. Hartmann and F. Bassi
    A discontinuous Galerkin method for laminar low Mach number flows
    66th National Congress ATI in Rende, Italy, 5-9 Sept. 2011. University of Calabria, 2011.
    (BibTeX entry)

  6. T. Leicht and R. Hartmann
    Goal-oriented error estimation and hp-adaptive mesh refinement for aerodynamic flows.
    49thAIAA Aerospace Sciences Meeting, AIAA 2011-212, Orlando, Florida, 2011.
    (BibTeX entry)

  7. R. Hartmann and T. Leicht
    Discontinuous Galerkin Verfahren in der Aerodynamik: Höhere Ordnung, Fehlerschätzung und Gitteradaption.
    STAB Mitteilungen. 17. DGLR-Fach-Symposium der STAB, 9.-10. Nov. 2010, Berlin, 2010. In German.
    (pdf)

  8. T. Leicht and R. Hartmann
    Error estimation and anisotropic mesh refinement for aerodynamic flow simulations
    In G. Kreiss, P. Lötstedt, A. Malqvist, and M. Neytcheva, editors, Numerical Mathematics and Advanced Applications, ENUMATH 2009, vol. 2, pages 579-587. Springer, 2010.
    (BibTeX entry)

  9. F. Prill, M. Lukacova-Medvidova and R. Hartmann
    A multilevel discontinuous Galerkin method for the compressible Navier-Stokes equations
    In A. Handlovicova, P. Frolkovic, K. Mikula and D. Sevcovic, eds., Proceedings of ALGORITMY 2009. 18th Conference on Scientific Computing Vysoke Tatry - Podbanske, Slovakia, March 15 - 20, 2009.
    (BibTeX entry)

  10. R. Hartmann, J. Held, T. Leicht and F. Prill
    Entwicklung von Discontinuous Galerkin Verfahren höherer Ordnung auf unstrukturierten, adaptiv verfeinerten Gittern inklusive Fehlerschätzung
    STAB Mitteilung. 16. DGLR-Fach-Symposium der STAB, 3.-4. Nov. 2008, RWTH Aachen, 2008. In German.
    (pdf)

  11. Ralf Hartmann
    Entwicklung von Discontinuous Galerkin Verfahren höherer Ordnung auf unstrukturierten, adaptiv verfeinerten Gittern inklusive Fehlerschätzung
    STAB Mitteilung. 13. STAB-Workshop, 14.-15. Nov. 2007. DLR-Göttingen, 2007. In German.
    (pdf)

  12. Ralf Hartmann
    DG discretizations for compressible flows: Adjoint consistency analysis, error estimation and adaptivity
    In R. Rannacher, E. Süli, and R. Verführt, eds., Adaptive Numerical Methods for PDEs,
    Mathematisches Forschungsinstitut Oberwolfach Report 29/2007, pp. 26-30.
    (Abstract, pdf, ps.gz, BibTeX entry, see also here for the complete conference report)

  13. Ralf Hartmann
    Error estimation and adjoint-based adaptation in aerodynamics
    In P. Wesseling, E. Onate, J. Periaux, eds. Proceedings of the ECCOMAS CFD 2006, Sept. 5-8, Egmond aan Zee, The Netherlands, 2006.
    (Abstract, pdf, BibTeX entry)

  14. Ralf Hartmann
    Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations
    In G. Lube and G. Rapin, editors, Proceedings of the BAIL 2006 Conference, 2006.
    (Abstract, pdf, BibTeX entry)

  15. R. Hartmann and P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods with Interior Penalty for the Compressible Navier-Stokes Equations
    in M. Feistauer, V. Doleji, P. Knobloch and K. Najzar, editors, Numerical Mathematics and Advanced Applications, ENUMATH 2003, pp. 410-419, Springer-Verlag, 2004.
    (Preprint(ps.gz), BibTeX entry)

  16. R. Hartmann and P. Houston
    Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
    In T.Y. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pp. 579-588, Springer, 2003.
    (Abstract, Preprint(ps.gz), BibTeX entry)

  17. R. Hartmann and P. Houston
    Goal-Oriented A Posteriori Error Estimation for Compressible Fluid Flows
    In F. Brezzi, A. Buffa, S. Corsaro and A. Murli, editors, Numerical Mathematics and Advanced Applications, pp. 775-784, Springer, 2003.
    (Abstract, Preprint(ps.gz), BibTeX entry)

  18. P. Houston, R. Hartmann and E. Süli,
    Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows
    In M. Baines, editor, Numerical Methods for Fluid Dynamics VII. ICFD, 347-353, 2001.
    (Abstract, Preprint(ps.gz), BibTeX entry)

  19. Ralf Hartmann
    Adaptive FE Methods for Conservation Equations.
    In Heinrich Freistühler and Gerald Warnecke, eds.
    Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, 2000.
    International series of numerical mathematics 141: 495-503. Birkhäuser, Basel 2001.
    (Abstract, Preprint(ps.gz), BibTeX entry)

Lecture notes

  1. R. Hartmann and T. Leicht
    Higher order and adaptive DG methods for compressible flows
    In H. Deconinck and R. Abgrall, editors, VKI LS 2014-03: 37th Advanced VKI CFD Lecture Series: Recent developments in higher order methods and industrial application in aeronautics, Dec. 9-12, 2013.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium (2014).
    (Contents, pdf (version 2013/12/16), BibTeX entry)

  2. R. Hartmann and P. Houston
    Error estimation and adaptive mesh refinement for aerodynamic flows
    In H. Deconinck, editor, VKI LS 2010-01: 36th CFD/ADIGMA course on hp-adaptive and hp-multigrid methods, Oct. 26-30, 2009.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium (2010).
    (pdf, BibTeX entry)

  3. Ralf Hartmann
    Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods
    In H. Deconinck, editor, VKI LS 2008-08: 35th CFD/ADIGMA course on very high order discretization methods, Oct. 13-17, 2008.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium (2008).
    (Contents, pdf, BibTeX entry)

  4. Ralf Hartmann
    Discontinuous Galerkin methods for compressible flows: higher order accuracy, error estimation and adaptivity
    In H. Deconinck and M. Ricchiuto, editors, VKI LS 2006-01: CFD - Higher order discretization methods, Nov. 14-18, 2005.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium (2006).
    (Contents, pdf, BibTeX entry)

Theses

  1. Ralf Hartmann
    Adaptive Finite Element Methods for the Compressible Euler Equations
    PhD thesis, University of Heidelberg, 2002.
    (Abstract, Download, BibTeX entry)

  2. Ralf Hartmann
    A-posteriori Fehlerschätzung und adaptive Schrittweiten- und Ortsgittersteuerung bei Galerkin-Verfahren für die Wärmeleitungsgleichung
    Diploma thesis, University of Heidelberg, 1998. (in German)
    (Download, BibTeX entry)

Supervised Student Theses

  1. Marcel Wallraff
    An investigation of multigrid algorithms for a higher order Discontinuous Galerkin RANS solver.
    PhD thesis, TU Braunschweig, 2015.
    Also available as DLR-FB 2015-20, DLR, 2015. ISSN 1434-8454.
    (Download(pdf), UB Braunschweig )

  2. Stefan Schoenawa
    Higher-order discontinuous Galerkin discretizations of two-equation models of turbulence
    PhD thesis, TU Braunschweig, 2015.
    Also available as DLR-FB 2015-06, DLR, 2015. ISSN 1434-8454.

  3. Salvatore Manuel Renda
    Discontinuous Galerkin Methods for all speed flows
    PhD thesis, University of Calabria, 2013.

  4. Florian Prill
    Diskontinuierliche Galerkin-Methoden und schnelle iterative Löser zur Simulation kompressibler Strömungen
    PhD thesis, TU Hamburg-Harburg, 2010. (in German)
    Also available as DLR-FB 2010-17, DLR, 2010. ISSN 1434-8454.

  5. Alessandra Nigro
    Discontinuous Galerkin Methods for inviscid low Mach number flows
    PhD thesis, University of Calabria, 2007.
    Also available as DLR-IB 124-2008/1, DLR, 2008.
    (Download(pdf) )

  6. Tobias Leicht
    Anisotropic Mesh Refinement for Discontinuous Galerkin Methods in Aerodynamic Flow Simulations
    Diploma thesis, TU Dresden, 2006.
    (Download(pdf) )

Articles written about my work

Reference to the deal.II homepage

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