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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 40
ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper VIII.1

Boundary Element Reanalysis for Shape Optimization

L.-J. Leu and S.-F. Tsai

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan

Full Bibliographic Reference for this paper
L.-J. Leu, S.-F. Tsai, "Boundary Element Reanalysis for Shape Optimization", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 189-198, 1996. doi:10.4203/ccp.40.8.1
Abstract
This paper is concerned with reanalysis for boundary element systems arid its application in shape optimization. An efficient arid accurate reduction method is proposed for reanalyzing boundary element systems. The new method has several merits. In particular, the reduced system is uncoupled by a Gram-Schmidt orthonormalization procedure. Also, a computation-inexpensive convergence criterion is proposed for the automatic determination of the number of basis vectors required to approximate the solution within a specified level of accuracy. The accuracy and efficiency of the new method are verified by several numerical examples on reanalysis and shape optimization.

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