| A COMBINED HYBRID FINITE ELEMENT METHOD FOR PLATE BENDING PROBLEMS |
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| 作者姓名： | Tian-xiaoZhou Xiao-pingXie |
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| 作者单位： | [1]AeronauticalComputingTechniqueResearchInstitute,Xi‘an710068,China [2]MathematicalCollege,SichuanUniversity,Chengdu610064,China |
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| 基金项目： | This work was supported by the National Science Foundation of China |
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| 摘 要： | In this paper,a combined hybrid method is applied to finite element discretization of plate bending problems.It is shown that the resultant schemes are stabilized,i.e., the convergence of the schemes is independent of inf-sup conditions and any other patch test.Based on this,two new series of plate elements are proposed.
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| 关 键 词： | 组合杂交有限元法 板弯曲问题 弱相容性 稳定性 收敛性 椭圆偏微分方程 边值问题 上确界 下确界 组合变分原理 |
A COMBINED HYBRID FINITE ELEMENT METHOD FOR PLATE BENDING PROBLEMS |
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| Tian-xiaoZhou Xiao-pingXie.A COMBINED HYBRID FINITE ELEMENT METHOD FOR PLATE BENDING PROBLEMS[J].Journal of Computational Mathematics,2003,21(3):347-356. |
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| Authors: | Tian-xiao Zhou |
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| Abstract: | In this paper, a combined hybrid method is applied to finite element discretization of plate bending problems. It is shown that the resultant schemes are stabilized, i.e., the convergence of the schemes is independent of inf-sup conditions and any other patch test. Based on this, two new series of plate elements are proposed. |
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| Keywords: | Combined hybrid finite element Weakly compatible |
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