A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q 1 Finite Element Approximation of the Eigenvalue Problems | |
Liu, Jie ; Xia, Tian ; Jiang, Wei ; Liu J(刘婕) | |
刊名 | http://dx.doi.org/10.1155/2014/891278 |
2014 | |
关键词 | Boundary value problems Switching systems |
英文摘要 | This paper discusses the nonconforming rotated Q 1 finite element computable upper bound a posteriori error estimate of the boundary value problem established by M. Ainsworth and obtains efficient computable upper bound a posteriori error indicators for the eigenvalue problem associated with the boundary value problem. We extend the a posteriori error estimate to the Steklov eigenvalue problem and also derive efficient computable upper bound a posteriori error indicators. Finally, through numerical experiments, we verify the validity of the a posteriori error estimate of the boundary value problem; meanwhile, the numerical results show that the a posteriori error indicators of the eigenvalue problem and the Steklov eigenvalue problem are effective. ? 2014 Jie Liu et al. |
语种 | 英语 |
出版者 | HINDAWI PUBLISHING CORPORATION |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/89857] |
专题 | 化学化工-已发表论文 |
推荐引用方式 GB/T 7714 | Liu, Jie,Xia, Tian,Jiang, Wei,et al. A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q 1 Finite Element Approximation of the Eigenvalue Problems[J]. http://dx.doi.org/10.1155/2014/891278,2014. |
APA | Liu, Jie,Xia, Tian,Jiang, Wei,&刘婕.(2014).A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q 1 Finite Element Approximation of the Eigenvalue Problems.http://dx.doi.org/10.1155/2014/891278. |
MLA | Liu, Jie,et al."A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q 1 Finite Element Approximation of the Eigenvalue Problems".http://dx.doi.org/10.1155/2014/891278 (2014). |
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