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Greedy sampling of distributed parameters in the reduced-basis method by numerical optimization

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Iapichino_Volkwein_315.pdf
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2013

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In the present paper the authors study second-order elliptic parametric partial differential equations, where the Parameters are scalars or distributed functions. By utilizing a modified greedy algorithm a reduced-basis approximation is derived. This new strategy combines the classical greedy algorithm with techniques from PDE constrained optimization. Numerical examples for the Graetz problem illustrate the efficiency of the strategy to handle not only scalar, but also distributed parameter functions.

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510 Mathematik

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ISO 690IAPICHINO, Laura, Stefan VOLKWEIN, 2013. Greedy sampling of distributed parameters in the reduced-basis method by numerical optimization
BibTex
@techreport{Iapichino2013Greed-22838,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={Greedy sampling of distributed parameters in the reduced-basis method by numerical optimization},
  number={315},
  author={Iapichino, Laura and Volkwein, Stefan}
}
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