ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics

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).

References in corpus (3)

• pyMOR - Generic Algorithms and Interfaces for Model Order Reduction
• Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment
• ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications

Cited by in corpus (4)

• ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications
• Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry
• Towards Automatic and Reliable Localized Model Order Reduction
• An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization