A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
A new three-point approximation approach for design optimization problems
In this paper, a newly developed three-point approximation scheme is proposed. The expression of this scheme consists of a linear combination of the direct and reciprocal linear Taylor expansions as well as of the lumped diagonal terms of the second-order direct and inverse terms. The unknown parameters of the expression are computed on the basis of the function and gradient values at three points in the design space. Based on this approach, the accuracy of the existing constraint approximation methods can be improved. The effectiveness of the proposed approach is demonstrated on a number of numerical examples. The numerical results are also compared with those of the previously published work.
A new three-point approximation approach for design optimization problems
In this paper, a newly developed three-point approximation scheme is proposed. The expression of this scheme consists of a linear combination of the direct and reciprocal linear Taylor expansions as well as of the lumped diagonal terms of the second-order direct and inverse terms. The unknown parameters of the expression are computed on the basis of the function and gradient values at three points in the design space. Based on this approach, the accuracy of the existing constraint approximation methods can be improved. The effectiveness of the proposed approach is demonstrated on a number of numerical examples. The numerical results are also compared with those of the previously published work.
A new three-point approximation approach for design optimization problems
Guo, X. (author) / Yamazaki, K. (author) / Cheng, G.D. (author)
International Journal for Numerical Methods in Engineering ; 50 ; 869-884
2001
16 Seiten, 11 Quellen
Article (Journal)
English
A new two-point approximation approach for structural optimization
| British Library Online Contents | 2000
Optimum design of plate structures using three-point approximation
| Tema Archive | 1997
Three point problems simplified
| Engineering Index Backfile | 1931
Optimization of Fluid Problems using a Cumulative Approximation Method
| British Library Conference Proceedings | 1997