Consist Approximations, Automatic Differentiation and Domain Decomposition For Optimal

Abstract. Our purpose is to use mesh adaptation for accuracy and Domain Decomposition Methods (DDM) for parallelization. To speed up the computations we wish to embed the mesh refinment loop within the optimization loop and for this we shall use the theory of Consistent Approximation (CA). However the sensitivity analysis becomes quite involved and so we will use AD (Automatic Differentiation). Consequently this paper is about mixing several new developments of Optimal Shape Design with a DDM approach.