Article
Fast multipole method applied to 3D frequency domain elastodynamics
Author/s | Sanz Herrera, José Antonio
Bonnet, Marc Domínguez Abascal, José |
Department | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Publication Date | 2008 |
Deposit Date | 2019-09-20 |
Published in |
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Abstract | 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 ... 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. |
Project ID. | DPI2004-08147-C02-02 |
Citation | Sanz Herrera, J.A., Bonnet, M. y Domínguez Abascal, J. (2008). Fast multipole method applied to 3D frequency domain elastodynamics. Engineering Analysis with Boundary Elements, 32 (10), 787-795. |
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