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Edge-oriented hexagonal elements
  • 时间：0
  • 分类：O174[理学—数学;理学—基础数学]
  • 作者机构：[1]Parallel Computing Lab., Institute of Software, Chinese Academy of Sciences, Beijing 100080, China
  • 相关基金：The research is supported by National Basic Research Program of China （No. 2005CB321702） and National Natural Science Foundation of China （No. 10431050）. Acknowledgments. The authors would like to thank Prof. Jinchao Xu and Prof. Xuejun Xu for fruitful discussions. Thanks are also given to the anonymous referees for helpful suggestions and the editors for improvement of the English in the manuscript.
  • 相关项目：偏微分方程数值求解中的自适应网格方法研究
关键词： 六边形有限元, 非一致性有限元, Q1有限元, 函数, Nonconforming finite element method, Hexagonal element, Q1 element.
中文摘要：

在这篇论文，二个新非一致的六角形的元素被介绍，它基于 trilinear 功能空间 Q【sup】(3 )【/sup】【sub】1【/sub】 并且是面向边的，对旋转 Q【sub】1【/sub】 四边的元素的盒子相似。先验的错误估计被给证明新元素在 L2 标准在精力标准和秒顺序精确性完成一阶的精确性。这理论结果被数字测试证实。数学题目分类：65N15， 65N30。

英文摘要：

In this paper, two new nonconforming hexagonal elements are presented, which are based on the trilinear function space Q1^（3） and are edge-oriented, analogical to the case of the rotated Q1 quadrilateral element. A priori error estimates are given to show that the new elements achieve first-order accuracy in the energy norm and second-order accuracy in the L^2 norm. This theoretical result is confirmed by the numerical tests.

同期刊论文项目
偏微分方程数值求解中的自适应网格方法研究
期刊论文 74 会议论文 31 著作 1
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