Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636026 | Applied Mathematics and Computation | 2007 | 9 Pages |
Abstract
In this paper, we discuss one-dimensional second-order Helmholtz equation with rapidly oscillating coefficient, and present an asymptotic expansion method for the problem, which will play an important role in numerical computation. Of course, the convergence result and its proof will be given. Then, its corresponding finite element algorithm is proposed. Finally, some numerical experiments are given to investigate the asymptotic expansion method and the finite element algorithm.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wen-ming He,