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组合杂交有限元方法对等参双线性Q4-平板元的粗网格精度改进

谢小平 周天孝

谢小平, 周天孝. 组合杂交有限元方法对等参双线性Q4-平板元的粗网格精度改进[J]. 应用数学和力学, 2003, 24(12): 1291-1300.
引用本文: 谢小平, 周天孝. 组合杂交有限元方法对等参双线性Q4-平板元的粗网格精度改进[J]. 应用数学和力学, 2003, 24(12): 1291-1300.
XIE Xiao-ping, ZHOU Tian-xiao. Coarse-Mesh-Accuracy Improvement of Bilinear Q4-Plane Element by the Combined Hybrid Finite Element Method[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1291-1300.
Citation: XIE Xiao-ping, ZHOU Tian-xiao. Coarse-Mesh-Accuracy Improvement of Bilinear Q4-Plane Element by the Combined Hybrid Finite Element Method[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1291-1300.

组合杂交有限元方法对等参双线性Q4-平板元的粗网格精度改进

基金项目: 国家天元青年基金资助项目(TY10126027)
详细信息
    作者简介:

    谢小平(1970- ),男,四川德阳人,副教授,博士(E-mail:xiaopingxie@263.net).

  • 中图分类号: O242.21

Coarse-Mesh-Accuracy Improvement of Bilinear Q4-Plane Element by the Combined Hybrid Finite Element Method

  • 摘要: 组合杂交有限元法具有增强低阶位移格式粗网格精度的内在机制.能量误差为零的组合杂交格式可获得改进的粗网络精度,而其中组合参数起着极其重要的作用.采用最简便的四边形位移\应力模式作为对协调双线性Q4-平板元的改进:协调等参双线性位移插值和纯粹常应力模式.通过调整组合参数,得到了组合杂交元的优化型.数值试验表明这种参数_调整型显著改进了协调Q4-元,达到粗网格高精度.由于应力参数可在单元水平消去,这种组合杂交改进型的计算量与协调Q4-元相当.
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出版历程
  • 收稿日期:  2001-09-29
  • 修回日期:  2003-06-20
  • 刊出日期:  2003-12-15

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