Author(s)

F. Navarrina, I. Columinas, R. Juanes, E. Bendito & M. Casteleiro

Abstract

A unified approach for high order sensitivity analysis 1 19^ F. Navarrina , I. Colominas , R. Juanes , E. Bendito & M. Casteleiro^ ^Dept. Applied Math., Universidad de La Coruna ^Dept. Civil & Env. Eng., University of California at Berkeley *Dept. Applied Math., Universidad Politecnica de Cataluna Dept. Mech. Engrg., Northwestern University Abstract Many engineering problems require solving PDEs by means of numerical methods (type FEM/BEM) which sensitivity analysis entails taking deriva- tives of functions defined through integration. In sizing optimization prob- lems, the integration domains are fixed, what enables the regular use of analytical sensitivity techniques. In shape optimization problems, the in- tegration domains are nevertheless variable. This fact causes some cum- bersome difficulties [1], that have traditionally been overcome by means of finite difference approximations [2]. Three kinds of analytical approaches have been

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