The Mathematical Institute, University of Oxford, Eprints Archive

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

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

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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.

Item Type:Technical Report (Technical Report)
Subjects:A - C > Biology and other natural sciences
H - N > Numerical analysis
O - Z > Systems theory
Research Groups:Numerical Analysis Group
ID Code:1619
Deposited By:Lotti Ekert
Deposited On:15 Nov 2012 09:23
Last Modified:15 Nov 2012 09:23

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