Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958517 | Computers & Mathematics with Applications | 2017 | 12 Pages |
Abstract
We consider the diffraction grating problem in optics, which has been modeled by a boundary value problem governed by a Helmholtz equation with transparent boundary conditions. A tensor-product finite element method is proposed to numerically solve the problem. An FFT-based matrix decomposition algorithm is developed to solve the linear system arising in the vertically layered medium case, which can be used as a preconditioning technique for the general case. Numerical examples are presented to illustrate the accuracy and efficiency of the method.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Zhi Xia, Kui Du,