Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

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Article ID: iaor201522427
Volume: 35
Issue: 4
Start Page Number: 423
End Page Number: 434
Publication Date: Jul 2014
Journal: Optimal Control Applications and Methods
Authors: ,
Keywords: optimization
Abstract:

The optimality system for boundary controlled unsteady Burgers equation is transformed after linearization into a biharmonic equation in the space–time domain. It is then discretized in space and time simultaneously, so that standard finite element software can be easily implemented. Numerical experiments with and without control constraint problems confirm the applicability of this approach.

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