A highly accurate derivative recovery formula for finite element approximations in one space dimension
文献类型：期刊论文
| 作者 | Zhang T(张铁); Li ZJ(李长军); Nie YY(聂义勇); Rao, M |
| 刊名 | DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS
 |
| 出版日期 | 2003 |
| 卷号 | 10期号:5页码:755-764 |
| 关键词 | finite element derivative recovery ultraconvergence |
| ISSN号 | 1492-8760 |
| 产权排序 | 1 |
| 中文摘要 | A highly accurate derivative recovery formula is presented for the k-order finite element approximations to the two-point boundary value problems. This formula possesses the superconvergence of O(h(k+1)) order on the whole domain in L-infinity norm and the ultraconvergence of O(h(2k)) order at the mesh points, and also the lowest regularity requirement for the exact solutions. Numerical experiments are given to verify the high accuracy of our formula. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | PATCH RECOVERY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000185150900009 |
| 公开日期 | 2012-05-29 |
| 源URL | [http://ir.sia.cn/handle/173321/6921]  |
| 专题 | 沈阳自动化研究所_工业信息学研究室_先进制造技术研究室 |
| 推荐引用方式 GB/T 7714 | Zhang T,Li ZJ,Nie YY,et al. A highly accurate derivative recovery formula for finite element approximations in one space dimension[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS,2003,10(5):755-764. |
| APA | Zhang T,Li ZJ,Nie YY,&Rao, M.(2003).A highly accurate derivative recovery formula for finite element approximations in one space dimension.DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS,10(5),755-764. |
| MLA | Zhang T,et al."A highly accurate derivative recovery formula for finite element approximations in one space dimension".DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS 10.5(2003):755-764. |
入库方式： OAI收割
来源：沈阳自动化研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。