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

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.

Mots clés: FMOSA; degree elevation; Bézier parameterization; RAE2822 airfoil; shape optimization; nonlinear optimization; two level idea algorithm; full multi-grid method

Domaines: Analyse numérique [math.NA]; Optimisation et contrôle [math.OC]

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