Sensitivity calculations for iteratively solved problems

Raphael T. Haftka · International Journal for Numerical Methods in Engineering · 1985

Abstract The calculation of sensitivity derivatives of solutions of iteratively solved systems of algebraic equations is investigated. A modified finite difference procedure is presented which improves the accuracy of the calculated derivatives. The procedure is demonstrated for a simple algebraic example as well as an element‐by element preconditioned conjugate gradient iterative solution technique applied to truss examples.

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