2012-11-16T00:30:19.129Z
oai:eprints.maths.ox.ac.uk:1619
Pearson, John W.
Stoll, Martin
Technical Report
NonPeerReviewed
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http://eprints.maths.ox.ac.uk/1619
http://eprints.maths.ox.ac.uk/1619/
Biology and other natural sciences
Systems theory
Numerical analysis
SIAM
application/pdf
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.
Fast iterative solution of reaction-diffusion control problems arising from chemical processes
http://eprints.maths.ox.ac.uk/
2014-02-05T00:53:41.567Z
2012-11