Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703188 | Applied Mathematical Modelling | 2015 | 11 Pages |
Abstract
A combination method of finite element method and accelerated two-grid scheme is constructed for solving numerically the two-dimensional Steklov eigenvalue problem. This algorithm involves solving a small Steklov eigenvalue problem on the coarse mesh with mesh size H and a linear algebraic system on the fine mesh with mesh size h. By solving a slightly different linear problem on the fine grid, the computation will be more effective and convenient and the scaling between H and h becomes h=O(H4)h=O(H4), which can save a large amount of computational time. Finally, numerical tests confirm the theoretical results of the presented method.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhifeng Weng, Shuying Zhai, Xinlong Feng,