ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics
Numerical Analysis
2018-03-09 v2
Abstract
The simulation method ArbiLoMod has the goal to provide 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 in H(curl).
Keywords
Cite
@article{arxiv.1606.06206,
title = {ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics},
author = {Andreas Buhr and Christian Engwer and Mario Ohlberger and Stephan Rave},
journal= {arXiv preprint arXiv:1606.06206},
year = {2018}
}