ON NUMERICAL SOLUTIONS OF BOUNDARY INTEGRAL EQUATIONS.

Abstract

Elastic boundary value problems can be formulated in the form of boundary integral equations, whose numerical solutions are obtained by boundary element methods. This paper deals with error estimation of boundary element solutions. Espcially, approximate solutions obtained by constant or linear elements are investigated for cases of two-dimensional elastic bodies with smooth boundaries, which may contain cracks. In the analysis, the boundary element solutions of an infinite plane with a Griffith crack or a circular hole are derived in analytic forms. Examinations of them lead to estimation of residuals and errors.