Name
Abstract | ||
|---|---|---|
The paper focuses on the numerical study of electromagnetic scattering from two-dimensional (2D) large partly covered cavities, which is described by the Helmholtz equation with a nonlocal boundary condition on the aperture. The classical five-point finite difference method is applied for the discretization of the Helmholtz equation and a linear approximation is used for the nonlocal boundary condition. We prove the existence and uniqueness of the numerical solution when the medium in the cavity is y-direction layered or the number of the mesh points on the aperture is large enough. The fast algorithm proposed in Bao and Sun (2005) [2] for open cavity models is extended to solving the partly covered cavity problem with (vertically) layered media. A preconditioned Krylov subspace method is proposed to solve the partly covered cavity problem with a general medium, in which a layered medium model is used as a preconditioner of the general model. Numerical results for several types of partly covered cavities with different wave numbers are reported and compared with those by ILU-type preconditioning algorithms. Our numerical experiments show that the proposed preconditioning algorithm is more efficient for partly covered cavity problems, particularly with large wave numbers. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cam.2011.01.026 | J. Computational Applied Mathematics |
Keywords | DocType | Volume |
numerical study,open cavity model,numerical experiment,electromagnetic scattering,cavity problem,nonlocal boundary condition,numerical result,helmholtz equation,large enough,general medium,numerical solution,finite difference method,linear approximation | Journal | 235 |
Issue | ISSN | Citations |
13 | 0377-0427 | 3 |
PageRank | References | Authors |
0.54 | 4 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kui Du | 1 | 34 | 6.50 |
| Weiwei Sun | 2 | 154 | 15.12 |