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Fast iterative solution of reaction-diffusion control problems arising from chemical processes

Abstract:

PDE-constrained optimization problems, and the development of preconditioned iterative methods for the efficient solution of the arising matrix system, is a field of numerical analysis that has recently been attracting much attention. In this paper, we analyze and develop preconditioners for matrix systems that arise from the optimal control of reaction-diffusion equations, which themselves result from chemical processes. Important aspects in our solvers are saddle point theory, mass matrix r...

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Publisher:
SIAM
Publication date:
2012-11-01
UUID:
uuid:3f317dfe-0165-4df4-a80f-7ca579edd64b
Local pid:
oai:eprints.maths.ox.ac.uk:1619
Deposit date:
2012-11-16

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