Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction

M. Kahlbacher () and S. Volkwein ()
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M. Kahlbacher: University of Graz, Institute for Mathematics and Scientific Computing
S. Volkwein: University of Graz, Institute for Mathematics and Scientific Computing

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 727-734 from Springer

Abstract: Abstract Proper orthogonal decomposition (POD) is a powerful technique for model reduction of linear and non-linear systems. It is based on a Galerkin type discretization with basis elements created from the system itself. In this work POD is applied to estimate scalar parameters in a scalar non-linear Ginzburg-Landau equation. The parameter estimation is formulated in terms of an optimal control problem that is solved by an augmented Lagrangian method combined with a sequential quadratic programming algorithm. A numerical example illustrates the efficiency of the proposed solution method.

Date: 2008
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DOI: 10.1007/978-3-540-69777-0_87

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