New schemes with fractal error compensation for PDE eigenvalue computations
文献类型：期刊论文
| 作者 | Sun JiaChang |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:2页码:221-244 |
| 关键词 | PDE eigenvalues computation generalized matrix eigen-problem discrete Rayleigh quotient |
| ISSN号 | 1674-7283 |
| 中文摘要 | With an error compensation term in the fractal Rayleigh quotient of PDE eigen-problems, we propose a new scheme by perturbing the mass matrix M (h) to , where K (h) is the corresponding stiff matrix of a 2m - 1 degree conforming finite element with mesh size h for a 2m-order self-adjoint PDE, and the constant C exists in the priority error estimation lambda (j) (h) - lambda (j) similar to Ch (2m) lambda (j) (2) . In particular, for Laplace eigenproblems over regular domains in uniform mesh, e.g., cube, equilateral triangle and regular hexagon, etc., we find the constant and show that in this case the computation accuracy can raise two orders, i.e., from lambda (j) (h) - lambda (j) = O(h (2)) to O(h (4)). Some numerical tests in 2-D and 3-D are given to verify the above arguments. |
| 英文摘要 | With an error compensation term in the fractal Rayleigh quotient of PDE eigen-problems, we propose a new scheme by perturbing the mass matrix M (h) to , where K (h) is the corresponding stiff matrix of a 2m - 1 degree conforming finite element with mesh size h for a 2m-order self-adjoint PDE, and the constant C exists in the priority error estimation lambda (j) (h) - lambda (j) similar to Ch (2m) lambda (j) (2) . In particular, for Laplace eigenproblems over regular domains in uniform mesh, e.g., cube, equilateral triangle and regular hexagon, etc., we find the constant and show that in this case the computation accuracy can raise two orders, i.e., from lambda (j) (h) - lambda (j) = O(h (2)) to O(h (4)). Some numerical tests in 2-D and 3-D are given to verify the above arguments. |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000329791900001 |
| 公开日期 | 2014-12-16 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/16701]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Sun JiaChang. New schemes with fractal error compensation for PDE eigenvalue computations[J]. SCIENCE CHINA-MATHEMATICS,2014,57(2):221-244. |
| APA | Sun JiaChang.(2014).New schemes with fractal error compensation for PDE eigenvalue computations.SCIENCE CHINA-MATHEMATICS,57(2),221-244. |
| MLA | Sun JiaChang."New schemes with fractal error compensation for PDE eigenvalue computations".SCIENCE CHINA-MATHEMATICS 57.2(2014):221-244. |
入库方式： OAI收割
来源：软件研究所
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