1 |
Zienkiewicz, O.C. and Campbell, J.S., 1973, “Shape Optimization and Sequential Linear Programming. In Optimum Structural Design, Gallgher RH, Zienkiewicz OC (eds). Wiley: New York, pp. 109-127
|
2 |
Pederson, P., Cheng, G. and Rasmussen, J., 1989, On Accuracy Problems of Semi-Analytical Sensitivity Analysis. Mechanics of Structures and Machines, Vol.17, No.3, pp. 373-384
DOI
ScienceOn
|
3 |
Cheng, G. and Liu, Y., 1987, A New Sensitivity Scheme for Sensitivity Analysis. Engineering Optimization, Vol.12, pp. 219-234
DOI
|
4 |
Olhoff N. and Rasmussen, J., 1991, Study of Inaccuracy in Semi-Analytical Analysis-a Model Problem. Structural Optimization, Vol. 3, pp. 203-213
DOI
|
5 |
Parente, E. Jr. and Vaz, L.E., 2001, Improvement of semi Analytical Design Sensitivities of Non-Linear Structures Using Equilibrium Relations. International Journal for Numerical Methods in Engineering, Vol.50, pp. 2127-2142
DOI
ScienceOn
|
6 |
Cho, M. and Kim, H., 2005, A Refined Semi-Analytic Design Sensitivity Based on Mode Decomposition and Neumann Series. International Journal for Numerical Methods in Engineering, Vol.62, pp.19-49
DOI
ScienceOn
|
7 |
Barthelemy, B., Chen C.T. and Haftka, R.T., 1986, Sensitivity Approximation of the Static Structural Response. In First World Congress on Computational Mechanics, Austin, TX, Sept
|
8 |
Cheng, G., Gu, Y. and Zhou, Y., 1989, Accuracy of Semi-Analytical Sensitivity Analysis. Finite Elements in Analysis and Design, Vol. 6, pp. 113-128
DOI
ScienceOn
|
9 |
Lyness, J.N., 1967, Numerical Algorithms Based on the Theory of Complex Variables, Proc. ACM 22nd Nat. Conf. Thompson Book Co. Washington DC, pp.124-134
DOI
|
10 |
Lyness, J.N. and Moler, C.B., 1967, Numerical Differentiation of Analytic Functions, SIAM, J. Numer. Anal., Vol.4: pp.202-210
DOI
ScienceOn
|
11 |
Squire, W. and Trapp, G., 1998, Using complex variables to Estimate Derivatives of Real Functions, SIAM Rev. Vol.40, No.1, pp.110-112
DOI
ScienceOn
|
12 |
Martins, J.R.R.A., Sturdza, P. and Alonso, J.J., 2001, The Connection Between the Complex-step Derivative Approximation and Algorithmic Differentiation, AIAA Paper 2001-0921
|
13 |
Anderson, W.K., Newman, J.C., Whitfield, D.L. and Nielsen, E.J., 1999, Sensitivity Analysis for the Navier-stokes Equation on Unstructured Meshes Using Complex Variables, AIAA Paper No. 99-3294, Proceedings of the 17th Applied Aerodynamics Conference
|
14 |
Cho, M. and Kim, H., 2006, Improved Semi-Analytic Sensitivity Analysis Combined with Iterative Scheme in the Framework of Adjoint Variable Method, Computers and Structures, Vol.84, Issue 29-30, pp.1827-1840
DOI
ScienceOn
|
15 |
Barthelemy, B., Chon, C.T. and Haftka, R.T., 1988, Accuracy Problems Associated with Semi-Analytical Derivatives of Static Response. Finite Elements in Analysis and Design, Vol.4, pp. 249-265
DOI
ScienceOn
|
16 |
Van Keulen, F. and De Boer, H., 1998, Rigorous Improvement of Semi-Analytical Design Sensitivities by Exact Differentiation of Rigid Body Motions. International Journal for Numerical Methods in Engineering, Vol.42, pp. 71-91
DOI
ScienceOn
|
17 |
Newman, J.C., Anderson, W.K. and Whitfield, D.L., 1998, Multidisciplinary Sensitivity Derivatives Using Complex Variables, MSSU-COE-ERC-98-08
|
18 |
Cervino, L.I. and Bewley, T.R., 2003, On the extension of the Complex-Step Derivative Technique to Pseudospectral Algorithms, Journal of Computational Physics, Vol.187, pp.544-549
DOI
ScienceOn
|
19 |
Burg, C.O.E. and Newman J.C., III, 2003, Computationally Efficient, Numerically Exact Design Space Derivatives via the Complex Talyor's Series Expansion Method, Computers and Fluids, Vol.32, pp.373-383
DOI
ScienceOn
|
20 |
De Boer, H. and Van Keulen, F., 2000, Refined Semi-Analytical Design Sensitivities. International Journal of Solids and Structures, Vol.37, pp.6961-6980
DOI
ScienceOn
|
21 |
Martins, J.R.R.A., Kroo, I.M. and Alonso, J.J., 2000, An Automated Method for Sensitivity Analysis Using Complex Variables, AIAA Paper 2000-0689
|