Multiobjective PDE-constrained optimization using the Reduced-Basis Method

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In this paper the reduced basis method is utilized to solve multiob- jective optimization problems governed by linear variational equations. These problems often arise in practical applications, where the quality of the system behavior has to be measured by more than one criterium. For the numerical solution the weighting sum method is applied. This approach leads to an algo- rithm, where many parameterized quadratic optimization problems are solved very efficiently by a appropriate reduced basis approximation. Further, the number of parameter variations is reduced by a sensitivity analysis for the parameterized objective.

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510 Mathematik
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ISO 690IAPICHINO, Laura, Stefan ULBRICH, Stefan VOLKWEIN, 2013. Multiobjective PDE-constrained optimization using the Reduced-Basis Method
BibTex
@techreport{Iapichino2013Multi-25019,
  year={2013},
  title={Multiobjective PDE-constrained optimization using the Reduced-Basis Method},
  author={Iapichino, Laura and Ulbrich, Stefan and Volkwein, Stefan}
}
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