New Developments in Reduced Order Modelling

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New Developments in Reduced Order Modelling

 15 Oct 2021

Online

  • Gabriel R. Barrenechea, University of Strathclyde

About:

The focus of this meeting was on reduced order modelling, an extremely wide topic in which the number of deep mathematical results are still largely open, especially in complicated and challenging industrially-oriented applications. With this in mind, the choice of speakers for the meeting aimed at reflecting how wide the area is, and even how the term Reduced order modelling can be interpreted in drastically different ways.
 
As can be seen from the list of speakers, they range from lectures in engineering and applied mathematics (Fossati and Wray), to well-established professors in the topic (Rozza). Somewhat between both ends, G. Li is a mathematician whose interests lie in the interface of reduced order models (in terms of reduced bases) with multiscale finite element methods, with an emphasis on the mathematical justification of the resulting methodologies. As such, the idea of the meeting was to gather an as wide as possible spectrum of speakers, spanning from finite-element experts, to researchers with a speciality in continuum mechanics, to more industrially focused engineers.

Programme:

This meeting was the last one in the 2020 series of meetings that were under the umbrella of the London Mathematical Society Network entitled Scottish Numerical Methods Network 2020. The two-year grant funded one day workshops in Dundee, Edinburgh, and Glasgow. The coordinators of the Network are Agissilaos Athanassoulis, University of Dundee, Gabriel R. Barrenechea University of Strathclyde, Benjamin Goddard, University of Edinburgh, and Mariya Ptashnyk, Heriot-Watt University.

Welcome
Gianluiggi Rozza, SISSA, Trieste Reduced order methods: state of the art, perspectives and applications in computational fluid dynamics
Alexander Wray, University of Strathclyde Physics-driven reduced order models in fluid dynamics
Break
Guanglian Li, The University of Hong Kong Wavelets-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains
Marco Fossati, University of Strathclyde Adaptive Reduced Order Modelling for steady and unsteady aerodynamics