| QUADRILATERAL MESH |
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| 作者姓名： | MING Pingbing SHI Zhongci |
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| 作者单位： | Ａ１Ｓｏｕｔｈ ４ｓｔｒｅｅｔ，ＺｈｏｎｇＧｕａｎ Ｃｕｎ，ＩｎｓｔｉｔｕｔｅｏｆＣｏｍｐｕｔａｔｉｏｎａｌＭａｔｈｅｍａｔｉｃｓ，Ａ１ ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，Ｐｏ Ｂｏｘ２７１９，Ｂｅｉｊｉｎｇ １０００８０，Ｃｈｉｎａ，Ｓｏｕｔｈ ４ |
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| 摘 要： | IntroductionQuadrilateral mesh Is widely used In the finite eleme
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| 关 键 词： | 四边形网格 有限元法 四节点等参数元 正则性条件 退化网格条件 非一致性四边性元 |
| 收稿时间： | 2/2/2022 12:00:00 AM |
QUADRILATERAL MESH |
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| MING Pingbing,SHI Zhongci.QUADRILATERAL MESH[J].Chinese Annals of Mathematics,Series B,2002,23(2):235-252. |
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| Authors: | MING Pingbing and SHI Zhongci |
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| Institution: | 1. A1 South 4 street,Zhong Guan Cun,Institute of Computational Mathematics,Chinese Academy of Sciences,Po Box 2719,Beijing 100080,China. E-mail: mpb@lsec.cc.ac.cn
2. A1 South 4 street,Zhong Guan Cun,Institute of Computational Mathematics,Chinese Academy of Sciences,Po Box 2719,Beijing 100080,China. E-mail: shi@lsec.cc.ac.cn |
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| Abstract: | Several quadrilateral shape regular mesh conditions commonly used in the finite element method are proven to be equivalent. Their influence on the finite element interpolation error and the consistency error committed by nonconforming finite elements are investigated. The effect of the Bi-Section Condition and its extended version (1 + α)- Section Condition on the degenerate mesh conditions is also checked. The necessity of the Bi-Section Condition in finite elements is underpinned by means of counterexamples. |
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| Keywords: | Quadrilateral mesh 4-node isoparametric element Nonconforming quadrilateral element |
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