ORA Technical report: "Fast iterative solution of reaction-diffusion control problems arising from chemical processes" - uuid:3f317dfe-0165-4df4-a80f-7ca579edd64b

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http://ora.ox.ac.uk/objects/oai:eprints.maths.ox.ac.uk:1619

Reference: John W. Pearson and Martin Stoll, (2012). Fast iterative solution of reaction-diffusion control problems arising from chemical processes. SIAM.

Citable link to this page: http://ora.ox.ac.uk/objects/uuid:3f317dfe-0165-4df4-a80f-7ca579edd64b
 
Title: 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 representation and effective Schur complement approximation, as well as the outer (Newton) iteration to take account of the nonlinearity of the underlying PDEs.


About The Authors
John W. Pearson More by this author
 
Martin Stoll More by this author
 
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Issue Date: 2012-11
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Urn: uuid:3f317dfe-0165-4df4-a80f-7ca579edd64b
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Type: Technical Report;
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