Properties of an augmented Lagrangian for design optimization

Abstract:

We consider the task of design optimization, where the constraint is a state equation that can only be solved by a typically rather slowly converging fixed point solver. This process can be augmented by a corresponding adjoint solver, and based on the resulting approximate reduced derivatives, also an optimization iteration that updates the design variables simultaneously. To coordinate the three iterative processes, we use an exact penalty function of a doubly augmented Lagrangian type that should be consistently reduced. Some numerical experiments on a variant of the Bratu problem are presented. © 2010 Taylor & Francis.

Año de publicación:

2010

Keywords:

• Exact penalty function
• Nonlinear optimization
• preconditioning
• Simultaneous analysis and design
• Bounded retardation

Fuente:

scopus