Multilevel functional Preconditioning for shape optimisation
Francois Courty
Alain Dervieux
Article in International Journal of CFD (44 pages)
Abstract:
We study the application of a multi-level preconditioner to a
practical optimal shape design problem. The preconditioner is based on the
Bramble-Pasciak-Xu series. We extend it to the unstructured
parametrization of 3D shapes by using the volume-agglomeration
heuristics. The choice of the smoothing parameter is analysed from
functional arguments. Application to the shape design for optimising
aerodynamic and sonic boom performances of a wing is demonstrated.
Keywords:
multilevel, optimal shape design, partial differential equations,
Computational Fluid Dynamics, finite element, unstructured mesh
Full text (pdf)
@article{CourtyDervieux06,
author = {Courty, F. and Dervieux, A.},
title = {Multilevel functional Preconditioning for shape optimisation},
journal = {International Journal of CFD},
Volume = 20,
Number = 7,
pages = "481-490",
year = 2006
}