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Department of Mathematics

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  2. Applied Mathematics 1
  3. Former Members
  4. Dr. Balthasar Reuter
  5. Research

Research

In page navigation: Applied Mathematics 1
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    • Dr. Vadym Aizinger
    • Dr. Apratim Bhattacharya
    • Astrid Bigott
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    • Dr. habil. Nicolae Suciu
    • Dr. Jonas Knoch
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    • Alice Lieu, PhD
    • Dr. Balthasar Reuter
      • Research
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    • Dr. Andreas Rupp
    • Doris Schneider
    • Dr. habil. Raphael Schulz
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Research

Research interests

  • finite element methods, in particular discontinuous Galerkin schemes;
  • mesh adaptivity in parallel;
  • high performance computing and accelerators with a focus on scientific and engineering applications;
  • scientific software.

KONWIHR project 2014

In autumn 2014, I spent two months at RRZE’s HPC optimizing the node level performance and resource utilization of our software UTBEST3D. This was funded by the “KONWIHR Multi-Core Software Initiative”. At the KONWIHR-website you can find the executive summary of this project.
A more detailed description of the conducted work is available in the corresponding report.

Own publication

  • Reuter B.:
    The discontinuous Galerkin method for free surface and subsurface flows in geophysical applications (Dissertation, 2020)
    URL: http://nbn-resolving.de/urn:nbn:de:bvb:29-opus4-126532
    BibTeX: Download
  • Reuter B., Hajduk H., Rupp A., Frank F., Aizinger V., Knabner P.:
    FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods
    In: Computers & Mathematics with Applications (2020)
    ISSN: 0898-1221
    DOI: 10.1016/j.camwa.2020.08.018
    BibTeX: Download
  • Reuter B., Rupp A., Aizinger V., Frank F., Knabner P.:
    FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface
    In: Communications in Computational Physics 28 (2020), p. 827-876
    ISSN: 1815-2406
    DOI: 10.4208/cicp.OA-2019-0132
    BibTeX: Download

  • Knabner P., Reuter B., Schulz R.:
    Mit Mathe richtig anfangen Eine Einführung mit integrierter Anwendung der Programmiersprache Python
    Berlin Heidelberg: Springer Spektrum, 2019
    ISBN: 978-3-662-59229-8
    DOI: 10.1007/978-3-662-59230-4
    BibTeX: Download
  • Reuter B., Rupp A., Aizinger V., Knabner P.:
    Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
    In: Computers & Mathematics with Applications 77 (2019), p. 2291-2309
    ISSN: 0898-1221
    DOI: 10.1016/j.camwa.2018.12.020
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_ReuterRuppAizingerKn_DiscontGalerkinMethForCouplHydrostFreeSurfaceFlowsToSaturSubsurfSyst
    BibTeX: Download

  • Hajduk H., Hodges BR., Aizinger V., Reuter B.:
    Locally Filtered Transport for computational efficiency in multi-component advection-reaction models
    In: ENVIRON MODELL SOFTW 102 (2018), p. 185-198
    ISSN: 1364-8152
    DOI: 10.1016/j.envsoft.2018.01.003
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_HajdukHodgesAizingerReuter_LocallyFilteredTransport.pdf
    BibTeX: Download
  • Jaust A., Reuter B., Aizinger V., Schütz J., Knabner P.:
    FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation
    In: Computers & Mathematics with Applications 75 (2018), p. 4505-4533
    ISSN: 0898-1221
    DOI: 10.1016/j.camwa.2018.03.045
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_JaustReuterAizingerSchuetzKn_FestungAMatlabGnuPartIIIHDG
    BibTeX: Download

  • Aizinger V., Kosik A., Kuzmin D., Reuter B.:
    Anisotropic slope limiting for discontinuous Galerkin methods
    In: International Journal For Numerical Methods in Fluids (2017), p. in press
    ISSN: 0271-2091
    DOI: 10.1002/fld.4360
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_AizingerKosikKuzminReuter_AnisoSlopeLimForDG.pdf
    BibTeX: Download

  • Geveler M., Reuter B., Aizinger V., Göddeke D., Turek S.:
    Energy efficiency of the simulation of three-dimensional coastal ocean circulation on modern commodity and mobile processors
    In: Computer Science - Research and Development 31 (2016), p. 225-234
    ISSN: 1865-2034
    DOI: 10.1007/s00450-016-0324-5
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_GevelerReuterAizingerGoeddekeTurek_EnergyEfficienceSimulation3DCoastalOceanCommodityMobileProc.pdf
    BibTeX: Download
  • Reuter B., Aizinger V., Wieland M., Frank F., Knabner P.:
    FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting
    In: Computers & Mathematics with Applications 72 (2016), p. 1896-1925
    ISSN: 0898-1221
    DOI: 10.1016/j.camwa.2016.08.006
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ReuterAizingerWielandFrankKn_FestungAMatLabGnuPartII
    BibTeX: Download
  • Schönwetter D., Ditter A., Aizinger V., Reuter B., Fey D.:
    Cache Aware Instruction Accurate Simulation of a 3-D Coastal Ocean Model on Low Power Hardware
    6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (Lisbon)
    DOI: 10.5220/0006006501290137
    BibTeX: Download
    (Conference report)

  • Frank F., Reuter B., Aizinger V., Knabner P.:
    FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part I: Diffusion operator
    In: Computers & Mathematics with Applications 70 (2015), p. 11 - 46
    ISSN: 0898-1221
    DOI: 10.1016/j.camwa.2015.04.013
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_FrankReuterAizingerKn_FestungAMatlabGnuPartIDiffusionOperator
    BibTeX: Download
  • Reuter B., Aizinger V., Köstler H.:
    A multi-platform scaling study for an OpenMP parallelization of a discontinuous Galerkin ocean model
    In: Computers & Fluids 117 (2015), p. 325 - 335
    ISSN: 0045-7930
    DOI: 10.1016/j.compfluid.2015.05.020
    URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_ReuterAizingerKoestler_MultiPlatformScalingOpenMPdGoceanModel.pdf
    BibTeX: Download

 

Posters

FESTUNG – Finite Element Simulation Toolbox for UNstructured Grids. SIAM Geosciences 2017, Erlangen, September 2017. (PDF)

Boosting node-level performance with compile-time generated and evaluated lookup of loop lengths. PhD Forum, ISC High Performance, Frankfurt, June 2016. (PDF)

Master thesis

Coarsening of Simplicial Meshes for Large Scale Parallel FEM Computations with DOLFIN HPC: A parallel implementation of the edge collapse algorithm. KTH Stockholm, Sweden, June 2013. TRITA-MAT-E, 2013:37.

Bachelor thesis

Parallele Simulation der Lichtausbreitung von Multilinsensystemen auf GPGPUs. FAU Erlangen, Deutschland, August 2012. Chair for Computer Architecture.

Friedrich-Alexander-Universität
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