SIAM
Systems theory
Biology and other natural sciences
Numerical analysis
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.
Stoll, Martin
Pearson, John W.
http://eprints.maths.ox.ac.uk/1619
http://eprints.maths.ox.ac.uk/1619/
2012-11
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2014-02-05T00:53:41.567Z
Fast iterative solution of reaction-diffusion control problems arising from chemical processes
oai:eprints.maths.ox.ac.uk:1619
http://eprints.maths.ox.ac.uk/
uuid:3f317dfe-0165-4df4-a80f-7ca579edd64b
2012-11-16T00:30:19.129Z