Fast multipole method applied to 3D frequency domain elastodynamics
This article is concerned with the formulation and implementation of a fast multipole- accelerated BEM for 3-D elastodynamics in the frequency domain, based on the so-called diagonal form for the expansion of the elastodynamic fundamental solu- tion, a multi-level strategy. As usual with the FM-BEM,...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/89234 |
| Acceso en línea: | https://hdl.handle.net/11441/89234 https://doi.org/10.1016/j.enganabound.2008.03.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Fast Multipole Method Boundary Element Method, 3D Elastodynamics |
| Sumario: | This article is concerned with the formulation and implementation of a fast multipole- accelerated BEM for 3-D elastodynamics in the frequency domain, based on the so-called diagonal form for the expansion of the elastodynamic fundamental solu- tion, a multi-level strategy. As usual with the FM-BEM, the linear system of BEM equations is solved by GMRES, and the matrix is never explicitly formed. The truncation parameter in the multipole expansion is adjusted to the level, a feature known from recent published studies for the Maxwell equations. A preconditioning strategy based on the concept of sparse approximate inverse (SPAI) is presented and implemented. The proposed formulation is assessed on numerical examples in- volving O(105) BEM unknowns, which show in particular that, as expected, the proposed FM-BEM is much faster than the traditional BEM, and that the GMRES iteration count is significantly reduced when the SPAI preconditioner is used. |
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