| 双参数13参四边形板元 |
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| 引用本文： | 赵中建,肖留超,陈绍春.双参数13参四边形板元[J].计算数学,2012,34(3):285-296. |
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| 作者姓名： | 赵中建 肖留超 陈绍春 |
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| 作者单位： | 1. 华北水利水电学院, 郑州 450011;
2. 河南工业大学理学院, 郑州 450001;
3. 郑州大学数学系, 郑州 450001 |
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| 基金项目： | 国家自然科学基金11071226;河南省基础与前沿技术研究项目122300410221 |
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| 摘 要： | 本文提出了一个双参数13参四边形板元, 其中一套参数按照广义分片检验要求选取, 另一套真正节点参数按照使离散系统更易解的要求选取,通过数值方法将一套节点参数线性过渡到另一套, 并且证明了该元的收敛性, 给出算例加以验证.
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| 关 键 词： | 双参数 广义分片检验 四边形 板元 |
| 收稿时间： | 2012-01-10; |
13-PARAMETER QUADRILATERAL PLATE ELEMENT WITH DOUBLE SET PARAMETERS |
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| Zhao Zhongjian
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Xiao Liuchao
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Chen Shaochun.13-PARAMETER QUADRILATERAL PLATE ELEMENT WITH DOUBLE SET PARAMETERS[J].Mathematica Numerica Sinica,2012,34(3):285-296. |
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| Authors: | Zhao Zhongjian Xiao Liuchao Chen Shaochun |
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| Institution: | 1. North China University of Water Conservancy And Electric Power, Zhengzhou 450011, China;
2. College of Science, Henan University of Technology, Zhengzhou 450001, China;
3. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | A 13-Parameter quadrilateral plate element with double set parameters is presented. One set of parameters are selected to pass the generalized Patch-Test and another set of parameters which are the real nodal parameters are selected to make the discrete systems easily solvable,Some numerical methods are used to express the first set of parameters with linear combinations of the second one. The convergence of the element is proved and numerical experiments are given. |
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| Keywords: | Double Parameter Generalized Patch-Test quadrilateral plate element |
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