Fast iterative solution of reaction-diffusion control problems arising from chemical processes / John W. Pearson, Martin Stoll
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87036345X
URN
urn:nbn:de:gbv:3:2-64077
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Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, November 14, 2012
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1 Online-Ressource (29 Seiten = 1,03 MB) : Diagramme
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Sprache
eng
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Inhaltliche Zusammenfassung
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.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 12-16 ppn:870173030