Adaptive Finite Element Methods for Linear-Quadratic Convection Dominated Elliptic Optimal Control Problems

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dc.contributor.authorNederkoorn, Eelcoen_US
dc.date.accessioned2018-06-19T17:45:08Zen_US
dc.date.available2018-06-19T17:45:08Zen_US
dc.date.issued2009-08en_US
dc.date.noteAugust 2009en_US
dc.descriptionThis work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/61980en_US
dc.description.abstractThe numerical solution of linear-quadratic elliptic optimal control problems requires the solution of a coupled system of elliptic partial differential equations (PDEs), consisting of the so-called state PDE, the adjoint PDE and an algebraic equation. Adaptive finite element methods (AFEMs) attempt to locally refine a base mesh in such a way that the solution error is minimized for a given discretization size. This is particularly important for the solution of convection dominated problems where inner and boundary layers in the solutions to the PDEs need to be sufficiently resolved to ensure that the solution of the discretized optimal control problem is a good approximation of the true solution. This thesis reviews several AFEMs based on energy norm based error estimates for single convection dominated PDEs and extends them to the solution of the coupled system of convection dominated PDEs arising from the optimality conditions for optimal control problems.en_US
dc.format.extent115 ppen_US
dc.identifier.citationNederkoorn, Eelco. "Adaptive Finite Element Methods for Linear-Quadratic Convection Dominated Elliptic Optimal Control Problems." (2009) <a href="https://hdl.handle.net/1911/102129">https://hdl.handle.net/1911/102129</a>.en_US
dc.identifier.digitalTR09-27en_US
dc.identifier.urihttps://hdl.handle.net/1911/102129en_US
dc.language.isoengen_US
dc.titleAdaptive Finite Element Methods for Linear-Quadratic Convection Dominated Elliptic Optimal Control Problemsen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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