| 一类六参数非协调任意凸四边形单元 |
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| 引用本文： | 石东洋 陈绍春. 一类六参数非协调任意凸四边形单元[J]. 高校应用数学学报(A辑), 1996, 0(2): 231-238 |
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| 作者姓名： | 石东洋 陈绍春 |
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| 作者单位： | 郑州市郑州大学系统科学与数学系，郑州市郑州大学系统科学与数学系 邮码450052 西安交通大学博士生，邮码450052 |
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| 摘 要： | 本文构造了一类六参数非协调四边形单元,证明由此产生的有限元对任意四边形网格通过Irons分片检查,其收敛效果同Wilson元相当且形状函数的选择不依赖于单元本身。类Wilson元及改进的Wilson任意四边形单元是其中的特例。
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| 关 键 词： | 四边形单元 Wilson元 非协调元 有限元 |
A CLASS OF SIX-PARAMETER NONCONFORMING ARBITRARY QUADRILATERAL ELEMENTS |
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| Shi Dongyang,Chen Shaochun. A CLASS OF SIX-PARAMETER NONCONFORMING ARBITRARY QUADRILATERAL ELEMENTS[J]. Applied Mathematics A Journal of Chinese Universities, 1996, 0(2): 231-238 |
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| Authors: | Shi Dongyang Chen Shaochun |
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| Affiliation: | Shi Dongyang,Chen Shaochun Department of System Science and Mathematics,Zhengzhon University,Zhengzhou 450052 |
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| Abstract: | In this paper, a class of six-parameter nonconforming arbitrary quadrilateral elementsis presented. We prove that these elements pass through Irons' patch test for arbitraryquadrilateral meshes. The convergence behavior is similar to that of Wilson element andthe choice of shape functions is independent of the geometrical parameters of these ele-ments. The Wilson-liKe nonconforming elements as well as the improved Wilson arbitraryquadrilateral elements are special ones of our elements. |
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| Keywords: | Six-parameter Quadrilateral Element Irons' Patch Test Shape Function |
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