Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition
| dc.contributor.author | Perez-Arancibia, Carlos | |
| dc.contributor.author | Ramaciotti, Pedro | |
| dc.contributor.author | Hein, Ricardo | |
| dc.contributor.author | Duran, Mario | |
| dc.date.accessioned | 2025-01-24T00:04:50Z | |
| dc.date.available | 2025-01-24T00:04:50Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | A fast multipole boundary element method (FM-BEM) for solving large-scale potential problems ruled by the Laplace equation in a locally-perturbed 2-D half-plane with a Robin boundary condition is developed in this paper. These problems arise in a wide gamut of applications, being the most relevant one the scattering of water-waves by floating and submerged bodies in water of infinite depth. The method is based on a multipole expansion of an explicit representation of the associated Green's function, which depends on a combination of complex-valued exponential integrals and elementary functions. The resulting method exhibits a computational performance and memory requirements similar to the classic FM-BEM for full-plane potential problems. Numerical examples demonstrate the accuracy and efficiency of the method. (C) 2012 Elsevier B.V. All rights reserved. | |
| dc.description.funder | program MECE Educacion Superior | |
| dc.fuente.origen | WOS | |
| dc.identifier.doi | 10.1016/j.cma.2012.04.012 | |
| dc.identifier.eissn | 1879-2138 | |
| dc.identifier.issn | 0045-7825 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cma.2012.04.012 | |
| dc.identifier.uri | https://repositorio.uc.cl/handle/11534/101815 | |
| dc.identifier.wosid | WOS:000314203000012 | |
| dc.language.iso | en | |
| dc.pagina.final | 163 | |
| dc.pagina.inicio | 152 | |
| dc.revista | Computer methods in applied mechanics and engineering | |
| dc.rights | acceso restringido | |
| dc.subject | Laplace equation | |
| dc.subject | Robin boundary condition | |
| dc.subject | Fast multipole algorithm | |
| dc.subject | Boundary element method | |
| dc.subject | Exponential integral function | |
| dc.title | Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition | |
| dc.type | artículo | |
| dc.volumen | 233 | |
| sipa.index | WOS | |
| sipa.trazabilidad | WOS;2025-01-12 |