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### Preconditioning iterative methods for the optimal control of the Stokes equation

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 very large and ill-conditio...

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Publication date:
2010-06-05
URN:
Local pid:
oai:eprints.maths.ox.ac.uk:937