Reduced Order Modeling for Parameterized Electromagnetic Simulation Based on Tensor Decomposition
- Creators
- He, Xiao-Feng
- Li, Liang
- Lanteri, Stéphane
- Li, Kun
- Others:
- School of Mathematical Sciences [Chengdu] (UESTC) ; University of Electronic Science and Technology of China [Chengdu] (UESTC)
- Modélisation et méthodes numériques pour le calcul d'interactions onde-matière nanostructurée (ATLANTIS) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (LJAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
- Southwestern University of Finance and Economics [Chengdu, China]
Description
We present a data-driven surrogate modeling for parameterized electromagnetic simulation. This method extracts a set of reduced basis (RB) functions from full-order solutions through a two-step proper orthogonal decomposition (POD) method. A mapping from the time/parameter to the principal components of the projection coefficients, extracted by canonical polyadic decomposition (CPD) , is approximated by a cubic spline interpolation (CSI) approach. The reduced-order model (ROM) is trained in the offline phase, while the RB solution of a new time/parameter value is recovered fast during the online phase. We evaluate the performance of the proposed method with numerical tests for the scattering of a plane wave by a 2-D multi-layer dielectric disk and a 3-D multi-layer dielectric sphere.
Abstract
International audience
Additional details
- URL
- https://inria.hal.science/hal-04402221
- URN
- urn:oai:HAL:hal-04402221v1
- Origin repository
- UNICA