A fast iterative solver for scattering by elastic objects in layered media

• Autores: K. Ito, J. Toivanen
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 5-7, 2007, págs. 811-820
• Idioma: inglés
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• Resumen

  • We developed a fast iterative solver for computing time-harmonic acoustic waves scattered by an elastic object in layered media. The discretization of the problem was performed using a finite element method with linear elements based on a locally body-fitted uniform triangulation. We used a domain decomposition preconditioner in the iterative solution of the resulting system of linear equations. The preconditioner was based on a cyclic reduction type fast direct solver. The solution procedure reduces GMRES iterates onto a sparse subspace which decreases the storage and computational requirements essentially. The numerical results demonstrate the effectiveness of the proposed approach for two-dimensional domains that are hundreds of wavelengths wide and require the solution of linear systems with several millions of unknowns.