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Publication Announcement: Space-Time Enriched Finite Elements for Elastodynamic Wave Propagation


FEN Research‘s latest journal publication on the “Enriched Finite Element Method” in collaboration with Heiko Gimperlein at the Leopold-Franzens-Universität Innsbruck.

This research is based in the field of wave propagation in elastic media. Common applications for wave problems are seismic analysis, railway tracks and contact problems for which standard numerical methods are often inadequate for efficient solving. Therefore, this research’s primary focus is on the improvement of standard finite element methods using enrichments. We include enrichments by utilising known physical information about the problem. For example, if there is wave behaviour, then include a wave before the computing the solution. Consequently, the key results are: rapid error reduction and reduced computational costs while producing comparable or improved accuracies compared to standard methods.

The expertise FEN Research gleaned from this state-of-the-art work is now used to propel the ground-breaking research in the Hydrogen Drone project. Moreover, this article has formed the basis for close ties between the department of Engineering Mathematics at the Leopold-Franzens-Universität Innsbruck and FEN Research.

FEN Research together with the University of Innsbruck plan to use the concept of ‘enrichments’ to build on other projects within the framework of the research centre HyWest. For example, considering heat modelling or even logistic systems in the framework of the research and development project WIVA P&G HyWest.

You can read the preprint of the publication here and share the published journal article through the link below: https://doi.org/10.1007/s00366-023-01874-z