Nodal Collocation for the <i>P</i>-Convergent Scheme in Boundary Element Technique

Abstract

The concept of the p-convergent boundary element modeling has been presented to analyze the potential problem with L-shaped domain. The details of the p-convergent boundary element formulation are discussed. These include the equations of nodal collocation for the p-convergent scheme, selection of higher order hierarchical shape functions, techniques for integrating the product of the kernel functions and corresponding shape functions, strategies for selecting collocation points used in approximating the unknowns associated with the higher order shape functions, and program organizations. A numerical example that demonstrates the performance of the p-convergent boundary element formulation is shown with respect to different arrangement of collocation points including both symmetric non-hierarchical pattern and non-symmetric hierarchical pattern.