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PREIM for nonlinear parabolic problems

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      Abstract

      The purpose of PREIM (Progressive RB-EIM) is to reduce the offline costs of nonlinear parabolic reduced order models with accurate RB approximations in the online stage. The key idea is a progressive enrichment of both the EIM approximation and the RB space, in contrast to the standard approach where the EIM approximation and the RB space are built separately. PREIM uses high-fidelity computations whenever available and RB computations otherwise. Another key feature of each PREIM iteration is to select twice the parameter in a greedy fashion, the second selection being made after computing the high-fidelity solution for the firstly selected value of the parameter.

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      Affiliations
      [1 ]CERMICS (ENPC) - EDF R&D - Inria
      [2 ]CERMICS (ENPC) - Inria
      [3 ]EDF R&D
      [* ]Correspondence: amina.benaceur@ 123456enpc.fr
      Journal
      ScienceOpen Posters
      ScienceOpen
      27 April 2018
      10.14293/P2199-8442.1.SOP-MATH.MUIUXR.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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