Iteration schemes for improved convergence in boundary element reanalysis

For large changes in design, the simple iteration scheme for reanalysis with the boundary element method shows a poor convergence. A variety of techniques to improve the convergence of these iterations are presented. The effect of modified Aitken's acceleration process on the simple iterations for reanalysis is determined. These developments are applied for the reanalysis of both the structural response and design sensitivities. The number of arithmetic operations required for each of the iteration schemes considered are given to compare the relative efficiencies of these schemes. While all the schemes for improving convergence of the reanalysis procedure demonstrate advantageous results, no single method is seen to be clearly superior to the rest for boundary element reanalysis. The advantages of the proposed procedure are demonstrated by numerical examples.