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Regularized Two Level Algorithms for Model Problems

Jichao Zhao 1 Jean-Antoine Desideri 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : In previous work, we experimented a variant of the two-level ideal algorithm for parametric shape optimization that was proposed by Desideri, and two of three approaches were shown superior. In this report, we try to look them in a more classic way -- in terms of singular value decomposition (SVD) and regularizations, for model problems, i.e., we combine these regularization tools with these two-level ideal algorithms. Numerical results show that regularized two level algorithms are more robust.
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https://hal.inria.fr/inria-00166639
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, December 5, 2007 - 2:47:39 PM
Last modification on : Monday, October 12, 2020 - 2:28:02 PM
Long-term archiving on: : Tuesday, September 21, 2010 - 3:33:56 PM

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  • HAL Id : inria-00166639, version 2

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Jichao Zhao, Jean-Antoine Desideri. Regularized Two Level Algorithms for Model Problems. [Research Report] RR-6382, INRIA. 2007, pp.29. ⟨inria-00166639v2⟩

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