Author(s) :
Michael Hinze
,
Thomas Slawig
Preprint series :
to appear in Opt. Meth. Software
MSC 2000
- 65K10 Optimization and variational techniques
-
76D05 Navier-Stokes equations
Abstract :
Gradients computed via an adjoint equation and obtained algorithmically by Automatic Differentiation (AD) tools are compared with respect to accuracy and performance.
As model application the method of instantaneous control for the time-dependent
incompressible Navier-Stokes equations with distributed control is used.
The method of instantaneous control and both approaches to obtain the gradient are described in detail. Implementation issues of the AD process are given.
Numerical results for gradient evaluations and complete control runs on different grids are presented.
Keywords :
Algorithmic Differentiation, Control, Navier-Stokes Equations