Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations

@inproceedings{Haasdonk2008ReducedBM,
  title={Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations},
  author={Bernard Haasdonk and Mario Ohlberger},
  year={2008}
}
The model order reduction methodology of reduced basis (RB) techniques offers efficient treatment of parametrized partial differential equations (PDEs) by providing both approximate solution procedures and efficient error estimates. RB-methods have so far mainly been applied to finite element schemes for elliptic and parabolic problems. In the current study we extend the methodology to general linear evolution schemes such as finite volume schemes for parabolic and hyperbolic evolution… CONTINUE READING
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Reduced-basis Approximations and a Posteriori Error Estimation for Parabolic Partial Differential Equations

  • M. A. Grepl
  • Ph.D. thesis, Massachusetts Institute of…
  • 2005
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