POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations

@article{Grle2018PODRM,
  title={POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations},
  author={Carmen Gr{\"a}{\ss}le and M. Hinze},
  journal={Advances in Computational Mathematics},
  year={2018},
  volume={44},
  pages={1941-1978}
}
  • Carmen Gräßle, M. Hinze
  • Published 2018
  • Mathematics, Computer Science
  • Advances in Computational Mathematics
  • The main focus of the present work is the inclusion of spatial adaptivity for the snapshot computation in the offline phase of model order reduction utilizing proper orthogonal decomposition (POD-MOR) for nonlinear parabolic evolution problems. We consider snapshots which live in different finite element spaces, which means in a fully discrete setting that the snapshots are vectors of different length. From a numerical point of view, this leads to the problem that the usual POD procedure which… CONTINUE READING
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