In this paper we use a multigrid strategy to reduce the total number of optimization iterations keeping the idea of the one-shot method. Design examples of drag ...

Abstract. The paper deals with a numerical method for aerodynamic shape optimization using simultaneous pseudo-timestepping. We have recently developed a ...

An optimization-based multigrid strategy results in efficient convergence of the method. The total effort of optimization is less than two forward simulation ...

In all the applications mentioned in earlier Chapters 6-9, the cost of computation is reduced drastically in comparison to the traditional gradient methods.

In this paper we use a multigrid strategy to reduce the total number of optimization iterations keeping the idea of the one-shot method. Design examples of drag ...

In this paper we use a multigrid strategy to reduce the total number of optimization iterations keeping the idea of the one-shot method. Design examples of drag ...

The multigrid one shot method for optimal shape design problems, governed by elliptic systems, is introduced for the in nite dimensional design space. In ...

The coarse grid solution, which is achieved in much less computational effort, is used to accelerate the convergence of the optimization problem in fine grid.

In this paper an optimization-based multigrid algorithm is applied to the optimization of systems governed by differential equations.

Multigrid efficiently damps the whole spectrum of error components by relaxing the governing equations on a sequence of grids of varying resolution. Therefore, ...