کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646150 | 1632215 | 2007 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A fast iterative solver for scattering by elastic objects in layered media A fast iterative solver for scattering by elastic objects in layered media](/preview/png/4646150.png)
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.
Journal: Applied Numerical Mathematics - Volume 57, Issues 5–7, May 2007, Pages 811-820