A Comparison of Local and Global Projections in Design Sensitivity Computations

  • Lisa G. Stanley
  • Dawn L. Stewart
Part of the Progress in Systems and Control Theory book series (PSCT, volume 24)

Abstract

In this paper we discuss the problem of constructing accurate numerical schemes for calculating state sensitivities for application to design. In computing sensitivities, spatial derivatives of finite element state approximations are required. We introduce two projection techniques, motivated by a-posteriori error estimators used in adaptive finite element schemes, for computing improved derivative approximations. We briefly describe the techniques and their implementation for calculating sensitivities for a 1-D model problem. Numerical results illustrating the improved accuracy of the sensitivities are presented for the 1-D model problem as well as for two dimensional flow around a cylinder.

Keywords

Eter Estima 

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Lisa G. Stanley
    • 1
  • Dawn L. Stewart
    • 1
  1. 1.Interdisciplinary Center for Applied Mathematics Virginia TechCenter for Optimal Design and ControlBlacksburgUSA

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