Fast interior point solvers for H1-regularized PDE-constrained optimization problems |
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| Authors: | John W Pearson Jacek Gondzio |
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| Institution: | 1. School of Mathematics, Statistics and Actuarial Science, University of Kent, Cornwallis Building (East), Canterbury, CT2 7NF, UK;2. School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, UK |
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| Abstract: | We consider Newton systems arising from the interior point solution of PDE-constrained optimization problems. In particular, we examine problems where the control variable is regularized by an H1-norm within the cost functional. We present preconditioned iterative methods for the resulting matrix systems, and justify the potency of our approach through numerical experiments. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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