Multiple scattering in thermal diffusion: iteration and preconditioning
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Ricardo Celorrio [1] ; Francisco Javier Sayas [1]
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[1] Universidad de Zaragoza
Universidad de Zaragoza
Zaragoza, España
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- Localización: XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001 / coord. por Luis Ferragut Canals, Anastasio Pedro Santos Yanguas, 2001, ISBN 8469961446, págs. 389-390
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
Integral–equation methods are often used to deal with exterior problems of wave propagation. This approach is used here for an exterior problem where plane time–harmonic thermal diffusion waves propagating through a semi–infinite material are scattered by aligned cylindrical holes. By an indirect method for the two–dimensional Helmholtz equation the problem is reduced to a system of inte- gral equations of the second with continuous non–smooth kernels. The numerical approximation by a boundary element method leads to a large complex and full system. For an efficient solution of the system, we propose use the physical idea of the multiple scattering to precondition the GMRES method.
