Optimality system POD and a-posteriori error analysis for linear-quadratic problems
Optimality system POD and a-posteriori error analysis for linear-quadratic problems
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2011
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Konstanzer Schriften in Mathematik; 291
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Abstract
In this paper an abstract linear-quadratic optimal control problem governed by an evolution equation is considered. To solve this problem numerically a reduced-order approach based on proper orthogonal decomposition (POD) is applied. The error between the POD suboptimal control and the optimal control of the original problem is controlled by an a-posteriori error analysis. However, if the POD basis has bad approximation properties, a huge number of POD basis function is required to solve the reduced-order problem with the desired accuracy. To overcome this problem optimality system POD (OS-POD) is utilized, where the POD basis is chosen with respect to the optimization criteria.
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510 Mathematics
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Optimal control,model reduction,proper orthogonal decomposition,a-posteriori error estimates,optimality system POD
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VOLKWEIN, Stefan, 2011. Optimality system POD and a-posteriori error analysis for linear-quadratic problemsBibTex
@techreport{Volkwein2011Optim-15360, year={2011}, series={Konstanzer Schriften in Mathematik}, title={Optimality system POD and a-posteriori error analysis for linear-quadratic problems}, number={291}, author={Volkwein, Stefan} }
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