Open Access

ARTICLE

A New Application of the Panel Clustering Method for 3D SGBEM

A. Aimi¹, M. Diligenti¹, F. Lunardini¹, A. Salvadori²
1 Department of Mathematics, University of Parma (Italy)
2 Department of Civil Engineering, University of Brescia (Italy)

Computer Modeling in Engineering & Sciences 2003, 4(1), 31-50. https://doi.org/10.3970/cmes.2003.004.031

Abstract

This paper is devoted to the study of a new application of the Panel Clustering Method [Hackbusch and Sauter (1993); Hackbusch and Nowak (1989)]. By considering a classical 3D Neumann screen problem in its boundary integral formulation discretized with the Galerkin BEM, which requires the evaluation of double integrals with hypersingular kernel, we recall and use some recent results of analytical evaluation of the inner hypersingular integrals. Then we apply the Panel Clustering Method (PCM) for the evaluation of the outer integral. For this approach error estimate is shown. Numerical examples and comparisons with classical PCM technique are presented.

---

Keywords

Galerkin method, Boundary Element Method, Panel Clustering Method

---