Computation of singular and hypersingular boundary integrals by Green identity and application to boundary value problems
| Title | Computation of singular and hypersingular boundary integrals by Green identity and application to boundary value problems |
| Publication Type | Journal Articles |
| Year of Publication | 2009 |
| Authors | Seydou F, Duraiswami R, Seppänen T, Gumerov NA |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 33 |
| Issue | 8–9 |
| Pagination | 1124 - 1131 |
| Date Published | 2009/08// |
| ISBN Number | 0955-7997 |
| Keywords | Bounday integral method, Green identity, Hypersingular integrals, Nyström method, Singular integrals |
| Abstract | The problem of computing singular and hypersingular integrals involved in a large class of boundary value problems is considered. The method is based on Green's theorem for calculating the diagonal elements of the resulting discretized matrix using the Nyström discretization method. The method is successfully applied to classical boundary value problems. Convergence of the method is also discussed. |
| URL | http://www.sciencedirect.com/science/article/pii/S0955799709000447 |
| DOI | 10.1016/j.enganabound.2009.02.004 |