Error Analysis In The Implementation Of The Dual Reciprocity Boundary Elements Method.

Abstract

This work presents the formulation and numerical implementation of the dual
reciprocity boundary element method applied to the analysis of elastostatic problems
considering body loads. Provided the traditional boundary element method is unable to treat
directly the influence of body loads, the dual reciprocity approach is used to make this
consideration, transforming domain integrals in equivalent boundary integrals so that the
method does not lose its most interesting features which are discretization and integration
only on the boundary of the problem. The numerical results obtained from the analysis of a
rotating disc are compared to the analytical solution for this problem in order to verify the
influence of mesh refinement and internal node density on the accuracy of the method in
study.