Abstract

For numerical treatment integral equations are discretized and replaced by systems of algebraic equations. The condition properties of these systems depend on the eigenvalues and eigenvectors of the corresponding coefficient matrices. In this paper the eigenvalues of four integral operators for plane elastostatic boundary value problems are calculated numerically and checked against exact data. The results of the evaluations are represented in condensed form as condition numbers, which can be used to estimate the truncation error. The decay behaviour of the error of the numerically calculated eigenvalues permits the precision to be improved by application of Richardson extrapolation.

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