A Galerkin boundary contour method for two-dimensional linear elasticity (Q1305584)

The Boundary Contour Method (BCM) is a boundary integral equation method proposed for two-dimensional linear elasticity theory by \textit{A. Nagarajan, S. Mukherjee} and \textit{E. Lutz} [J. Appl. Mech. 63, No. 2, 278-286 (1996; Zbl 0879.73079)]. This method can be considered as a variant of the Boundary Element Method (BEM). Here the authors propose a variational version of BCM simular to Galerkin-symmetric BEM for two-dimensional linear elasticity problems. The numerical integration is not used: all double line-integrals over boundary elements pairs can be evaluated by generating appropriate potential functions in closed form, and by computing their values at the element end-points. The numerical results, for three problems for which analytical solutions are available, are presented.