Local refinement of flat-top partition of unity based high-order approximation
文献类型：期刊论文
| 作者 | Jiao, Yuyong1; An, Xinmei2; Zhao, Zhiye4; Liu, Xiaoying3,4 |
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2018-11-16 |
| 卷号 | 116期号:7页码:465-486 |
| 关键词 | flat-top partition of unity high-order approximation linear independence local refinement |
| ISSN号 | 0029-5981 |
| DOI | 10.1002/nme.5932 |
| 英文摘要 | The high-order approximation with regularly patterned flat-top partition of unity mesh in one- and two-dimensional cases has been proven linearly independent. However, for problems with stress concentration or stress singularity, local refinement within the regular mesh is necessary to improve the accuracy and efficiency. This paper introduces local refinement of flat-top partition of unity mesh within the framework of high-order approximation in one- and two-dimensional spaces, respectively. Based on the traditional PU mesh, the construction of locally refined flat-top PU mesh is straightforward. With the rank deficiency counting approach, linear independence is proven from element level for the locally refined mesh system. Based on the numerical solution procedure presented, two numerical examples are analyzed to verify the proposed approximation method. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000446988200002 |
| 出版者 | WILEY |
| 源URL | [http://202.127.146.157/handle/2RYDP1HH/5916]  |
| 专题 | 中国科学院武汉植物园 |
| 通讯作者 | Liu, Xiaoying |
| 作者单位 | 1.Chinese Acad Sci, Inst Rock & Soil Mech, Wuhan, Hubei, Peoples R China 2.Land Transport Author, Singapore, Singapore 3.Sun Yat Sen Univ, Sch Civil Engn, Guangzhou, Guangdong, Peoples R China 4.Nanyang Technol Univ, Sch Civil & Environm Engn, Singapore 639798, Singapore |
| 推荐引用方式 GB/T 7714 | Jiao, Yuyong,An, Xinmei,Zhao, Zhiye,et al. Local refinement of flat-top partition of unity based high-order approximation[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2018,116(7):465-486. |
| APA | Jiao, Yuyong,An, Xinmei,Zhao, Zhiye,&Liu, Xiaoying.(2018).Local refinement of flat-top partition of unity based high-order approximation.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,116(7),465-486. |
| MLA | Jiao, Yuyong,et al."Local refinement of flat-top partition of unity based high-order approximation".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 116.7(2018):465-486. |
入库方式： OAI收割
来源：武汉植物园
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