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A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction

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Model Reduction of Complex Dynamical Systems

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 171))

Abstract

In this contribution, we aim to satisfy the demand for a publicly available benchmark for parametric model order reduction that is scalable both in degrees of freedom as well as parameter dimension.

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Notes

  1. 1.

    Actually, the core feature is the unified form language (UFL) [1] that also other packages, e.g., firedrake [20] use.

References

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Acknowledgements

The authors would like to thank Christian Himpe, Petar Mlinarić and Steffen W. R. Werner for helpful comments and discussions during the creation of the model.

Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC 2044-390685587, Mathematics Münster: Dynamics-Geometry-Structure. Funded by German Bundesministerium für Bildung und Forschung (BMBF, Federal Ministry of Education and Research) under grant number 05M18PMA in the programme “Mathematik für Innovationen in Industrie und Dienstleistungen”.

Author information

Authors and Affiliations

  1. University of Münster, Orleans-Ring 10, 48149, Münster, Germany

    Stephan Rave

  2. Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstr. 1, 39106, Magdeburg, Germany

    Jens Saak

Authors
  1. Stephan Rave
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  2. Jens Saak
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Correspondence to Jens Saak .

Editor information

Editors and Affiliations

  1. Dynamics of Complex Technical Systems, Max Planck Institute, Magdeburg, Sachsen-Anhalt, Germany

    Peter Benner

  2. Institute of Mathematics, Technical University of Berlin, Berlin, Germany

    Tobias Breiten

  3. Institute for Numerical Analysis, TU Braunschweig, Braunschweig, Germany

    Heike Faßbender

  4. Mathematisches Institut, Universität Koblenz-Landau, Campus Koblenz, Koblenz, Germany

    Michael Hinze

  5. Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    Tatjana Stykel

  6. Department of Mathematics and Computer Science, University of Southern Denmark, Odense, Denmark

    Ralf Zimmermann

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Rave, S., Saak, J. (2021). A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction. In: Benner, P., Breiten, T., Faßbender, H., Hinze, M., Stykel, T., Zimmermann, R. (eds) Model Reduction of Complex Dynamical Systems. International Series of Numerical Mathematics, vol 171. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-72983-7_16

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