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dc.contributor.advisor Heinkenschloss, Matthias
dc.creatorHoward, Patricia A.
dc.date.accessioned 2009-06-03T21:13:06Z
dc.date.available 2009-06-03T21:13:06Z
dc.date.issued 2007
dc.identifier.urihttps://hdl.handle.net/1911/20561
dc.description.abstract Linear-quadratic optimal control problems governed by elliptic partial differential equations arise in a, variety of applications. The optimality conditions for these problems lead to large scale, symmetric indefinite linear systems of equations. For many applications these systems cannot be solved using direct numerical linear algebra techniques. Consequently, it is important to have efficient iterative methods for solving these optimality systems. This thesis studies multigrid methods for the solution of optimality systems arising in elliptic linear-quadratic optimal control problems. The formulation and application of multigrid methods are discussed. Their performance, both as an iterative method and as a preconditioner for GMRES, is investigated numerically. Several smoothing strategies within multigrid methods are studied for advection dominated problems.
dc.format.extent 66 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title Multigrid methods for elliptic optimal control problems
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.identifier.citation Howard, Patricia A.. "Multigrid methods for elliptic optimal control problems." (2007) Master’s Thesis, Rice University. https://hdl.handle.net/1911/20561.


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