The extended adjoint method
Stanislas Larnier, Mohamed Masmoudi (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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Searching for the optimal partitioning of a domain leads to the use of the adjoint method in topological asymptotic expansions to know the influence of a domain perturbation on a cost function. Our approach works by restricting to local subproblems containing the perturbation and outperforms the adjoint method by providing approximations of higher order. It is a universal tool, easily adapted to different kinds of real problems and does ...