Analysis of thin-walled structural elements via 3D standard BEM with generic substructuring.

Abstract

This paper is concerned with the application of standard 3DBoundary Element Methods to solve thin-walled structural elements (needle-like/shell-like solids). A subregion- by-subregion data structure, incorporating iterative solvers and discontinuous boundary elements, is presented. To efficiently and accurately evaluate the quasi-singular integrals, special quadrature methods are applied. In addition, structured matrix-vector products, designed to avoid the excessive number of conditional tests during solver iterations, are proposed. Numerical results for complex thinwalled BE models are validated by comparison with FEM calculations and previously published BEM analyses.