Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Control and Cybernetics

1 2008

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Optimal design of stationary flow problems by path-following interior-point methods

Antil H., Hoppe R. H., Linsenmann C.

Control and Cybernetics

2008

Vol. 37, no 4

771-796

We consider the numerical solution of structural optimization problems in CFD where the state variables are supposed to satisfy a linear or nonlinear Stokes system and the design variables are subject to bilateral pointwise constraints. Within a primal-dual setting, we suggest an all-at-once approach based on interior-point methods. The discretization is taken care of by Taylor-Hood elements with respect to a simplicial triangulation of the computational domain. The efficient numerical solution of the discretized problem relies on path-following techniques, namely a continuation method with an adaptive choice of the continuation step size, a long-step path-following algorithm and a nonlinear version of Mehrotra's algorithm. The performance of the suggested methods is documented by several illustrative numerical examples.