Adjoint-based optimization for optimal control problems governed by nonlinear hyperbolic conservation laws

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dc.contributor.author Yohana, Elimboto
dc.date.accessioned 2012-09-05T11:41:43Z
dc.date.available 2012-09-05T11:41:43Z
dc.date.issued 2012-09-05
dc.identifier.uri http://hdl.handle.net/10539/11894
dc.description.abstract Research considered investigates the optimal control problem which is constrained by a hyperbolic conservation law (HCL). We carried out a comparative study of the solutions of the optimal control problem subject to each one of the two di erent types of hyperbolic relaxation systems [64, 92]. The objective was to employ the adjoint-based optimization to minimize the cost functional of a matching type between the optimal solution and the target solution. Numerical tests were then carried out and promising results obtained. Finally, an extension was made to the adjoint-based optimization approach to apply second-order schemes for the optimal control problem in which also good numerical results were observed. en_ZA
dc.language.iso en en_ZA
dc.subject.lcsh Conservation laws (Mathematics)
dc.subject.lcsh Nonlinear control theory
dc.title Adjoint-based optimization for optimal control problems governed by nonlinear hyperbolic conservation laws en_ZA
dc.type Thesis en_ZA


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