The hypersingular boundary contour method for two-dimensional linear elasticity
This paper presents a novel hypersingular boundary contour method (HBCM) for two-dimensional linear elastostatics. This method can be considered as a variant of the standard boundary element method (BEM) and the boundary countour method (BCM) because: (a) a regularized form of the hypersingular boundary integral equation is employed as the starting point, and (b) the above regularized form is then converted to a boundary contour version based on the divergence-free property of its integrand. Therefore, as in the two-dimensional BCM, numerical integrations are totally eliminated in the two-dimensional HBCM. The authors present a theoretical development of this method. Selected examples are included, and the numerical results obtained are uniformly accurate.
regularized form of hypersingular boundary integral equation
scientific article; zbMATH DE number 1235039