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      Parametric model order reduction for large-scale systems using Krylov subspace

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      Krylov subspace, priori error bound, large-scale system

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          Abstract

          In this work, we propose a method for reduced order models that preserve the physical parameters and therefore enable the optimization of the design parameters, material properties or geometries. More specifically, for an arbitrary rational transfer function $G(s,p)$ in the complex variables s and parameter p, we aim to find a low order rational $G_r(s,p)$ that matches the moments in both frequencies and design parameters at dedicated points $\mathcal{S}:=\{s_1,\dots,s_k\} \subset \mathbb{C}$ and $\mathcal{P}:=\{p_1,\dots,p_{\ell}\}\subset \mathbb{R}$. We construct the projection matrices along these two sets. An a-priori error bound has been derived that represents the local accuracy of the reduced model's transfer function nearby the points $\mathcal{S}\times \mathcal{P}$. Furthermore, this error bound allows for finding the optimal expansion points and truncation order. Simulation results show that both time domain and frequency domain indicate that the proposed method delivers good matching and outperforms the previous work.

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          Author and article information

          Journal
          ScienceOpen Posters
          ScienceOpen
          27 April 2018
          Affiliations
          [1 ]Technology university of Eindhoven
          [2 ]Technology university of Eindhoven
          [* ]Correspondence: d.lou@ 123456tue.nl
          Article
          10.14293/P2199-8442.1.SOP-MATH.YRUBLP.v1
          Copyright © 2018

          This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.

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