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Preconditioning iterative methods for the optimal control of the stokes equations

Abstract:

Solving problems regarding the optimal control of partial differential equations (PDEs)—also known as PDE-constrained optimization—is a frontier area of numerical analysis. Of particular interest is the problem of flow control, where one would like to effect some desired flow by exerting, for example, an external force. The bottleneck in many current algorithms is the solution of the optimality system—a system of equations in saddle point form that is usually ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1137/100798491

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
New College
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Scientific Computing Journal website
Volume:
33
Issue:
05
Pages:
2903–2926
Publication date:
2011-10-27
Acceptance date:
2011-05-31
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
Pubs id:
pubs:191356
URN:
uri:3c29d4b6-ff97-4c1f-a843-a614179108e5
UUID:
uuid:3c29d4b6-ff97-4c1f-a843-a614179108e5
Local pid:
pubs:191356
Keywords:

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