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SILVA, V. S. B.. The averaged adjoint method in shape optmization and aplications. Dissertação In the present work we present several concepts of shape optimization and apply them using an educational code based on the level set method,written using the FEniCS package. For this, we compute the so-called distributed shape derivative, which takes the form of a domain integral. This distributed expression of the shape derivative is advantageous for dening a numerical shape optimization algorithmdoi:10.11606/d.45.2020.tde-07122019-072502 fatcat:gixj4ox2wzemboxjqqkp2o5geu