ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics

Buhr A, Engwer C, Ohlberger M, Rave S

Research article (book contribution)

Abstract

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 harmonic Maxwell’s equations in 2D, formulated inH(curl).

Details zur Publikation

Publisher: Benner P., Ohlberger M., Patera A., Rozza G., Urban K.
Book title: Model Reduction of Parametrized Systems
Release year: 2017
Publishing company: Springer International Publishing
ISBN: 978-3-319-58785-1
Language in which the publication is written: English
Event: Cham