Abstract
A p-version zooming method for BEM is developed for 3-D elastostatic problems. The objective of this report is to develop an accuracy guarantee method for 3-D BEM analysis. First, the relations between the element degree and the analysis error of the displacement and of the traction are investigated by the numerical experiments of a thick-walled spheroid subjected to the internal or external pressure. Next, on the basis of these relations an accuracy guarantee method for the 3-D zooming method is proposed. In this method, the existence range of the analysis error of the displacement or of the traction at the point of particular interest is given by the sum of two errors. One is the analysis error of the displacement on the zooming boundary and the other is the analysis error of the traction at the point of particular interest in the zooming region. Finally, an adaptive analysis program using this method is developed and applied to the analysis of various 3-D elastostatic problems. The usefulness of this method is illustrated by these application results.
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