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Refined second order semi‐analytical design sensitivities
Author(s) -
de Boer H.,
van Keulen F.,
Vervenne K.
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.533
Subject(s) - sensitivity (control systems) , order (exchange) , finite element method , computer science , context (archaeology) , first order , algorithm , mathematical optimization , mathematics , engineering , electronic engineering , structural engineering , paleontology , finance , economics , biology
Accurate and efficient calculation of second order design sensitivities in a finite element context is often difficult. The semi‐analytical (SA) method is efficient and easy to implement but has accuracy problems even for first order shape design sensitivities. To overcome accuracy problems a refined semi‐analytical (RSA) method has been developed for first order sensitivities. The present paper investigates the application of the RSA method to second order design sensitivities. It is found that second order RSA sensitivities are significantly more accurate than their SA counterparts. Copyright © 2002 John Wiley & Sons, Ltd.