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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 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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