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    Spatial domain decomposition and model reduction for parabolic optimal control problems

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    Author
    Sun, Kai
    Date
    2006
    Advisor
    Sorensen, Danny C.
    Degree
    Master of Arts
    Abstract
    In 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.
    Keyword
    Mathematics
    Citation
    Sun, Kai. "Spatial domain decomposition and model reduction for parabolic optimal control problems." (2006) Master’s Thesis, Rice University. https://hdl.handle.net/1911/17920.
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    • Rice University Electronic Theses and Dissertations [14030]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
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