Spatial domain decomposition and model reduction for parabolic optimal control problems

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dc.contributor.advisorSorensen, Danny C.
dc.creatorSun, Kai
dc.date.accessioned2009-06-04T08:02:27Z
dc.date.available2009-06-04T08:02:27Z
dc.date.issued2006
dc.description.abstractIn this thesis, we propose a spatial domain decomposition method and model reduction techniques for the solution of linear-quadratic parabolic optimal control problems. Such problems arise directly from many applications such as the data assimilation, circuit design and oil reservoir modeling. The motivation for this work is threefold. First, we attempt to address the storage issue in numerically solving the parabolic optimal control problem. Secondly, spatial domain decomposition leads to parallelism. Therefore, data can be decomposed uniformly by assigning subdomains to each processor. Finally, for large-scale problems, the subproblems on the subdomains are still very large. Model reduction techniques applied to the subproblems are expected to dramatically reduce the size of the subproblems and save computational time.
dc.format.extent44 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS MATH.SCI. 2006 SUN
dc.identifier.citationSun, Kai. "Spatial domain decomposition and model reduction for parabolic optimal control problems." (2006) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17920">https://hdl.handle.net/1911/17920</a>.
dc.identifier.urihttps://hdl.handle.net/1911/17920
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectMathematics
dc.titleSpatial domain decomposition and model reduction for parabolic optimal control problems
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematical Sciences
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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