The simulation method ArbiLoMod (Buhr et al., SIAM J. Sci. Comput. 2017, accepted) has the goal of providing users of Finite Element based simulation software with quick re-simulation after localized changes to the model under consideration. It generates a Reduced Order Model (ROM) for the full model without ever solving the full model. To this end, a localized variant of the Reduced Basis method is employed, solving only small localized problems in the generation of the reduced basis. The key to quick re-simulation lies in recycling most of the localized basis vectors after a localized model change. In this publication, ArbiLoMod’s local training algorithm is analyzed numerically for the non-coercive problem of time harmonicMaxwell’s equations in 2D, formulated in H.curl/.
CITATION STYLE
Buhr, A., Engwer, C., Ohlberger, M., & Rave, S. (2017). ArbiLoMod: Local solution spaces by random training in electrodynamics. In Modeling, Simulation and Applications (Vol. 17, pp. 137–148). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-319-58786-8_9
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