Antunes, Pedro R. S.Barbarosie, CristianToader, Anca-Maria2018-02-072018-02-072017http://hdl.handle.net/10400.2/7075We consider the numerical solution of an inverse problem of finding the shape and location of holes in an elastic body. The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes. We use the adjoint method to calculate the shape derivative of this functional. The optimization is performed by BFGS, using a genetic algorithm as a preprocessor and the Method of Fundamental Solutions as a solver for the direct problem. We address several numerical simulations that illustrate the good performance of the method.engInverse problemShape optimizationEigenvalue problemLinear elasticityAdjoint methodMethod of fundamental solutionsjournal article