Toward Modular Multigrid Design Optimisation

A simultaneous timestepping method for primal, dual and design variables using multigrid convergence acceleration for primal and dual is reviewed. The necessary requirements to include the design variables in the multigrid algorithms are presented. Alternative algorithms for gradient smoothing are presented and numerically evaluated. Different formulations of the coarse grid functional are discussed and compared. Convergence results for an inverse aerofoil optimisation are presented.