| 纯应力平面弹性问题的一个非协调矩形元(英文) |
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| 引用本文： | 杨永琴,陈绍春. 纯应力平面弹性问题的一个非协调矩形元(英文)[J]. 应用数学, 2010, 23(4) |
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| 作者姓名： | 杨永琴 陈绍春 |
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| 作者单位： | 郑州大学数学系,河南郑州,450001 |
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| 摘 要： | 针对纯应力平面弹性问题构造了一个非协调矩形元.该单元满足离散的第二Korn不等式,并且关于λ有一致最优收敛阶,其误差的能量模和L2-模分别为O(h2)和O(h3) .
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| 关 键 词： | 平面弹性 第二Korn不等式 |
A Nonconforming Rectangle Element for Planar Elasticity with Pure Traction Boundary Condition |
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| YANG Yongqin,CHEN Shaochun. A Nonconforming Rectangle Element for Planar Elasticity with Pure Traction Boundary Condition[J]. Mathematica Applicata, 2010, 23(4) |
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| Authors: | YANG Yongqin CHEN Shaochun |
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| Abstract: | A new nonconforming rectangle element for the problem of planar elasticity with pure traction boundary condition is considered.The discrete Korn's second inequality for the element is valid.Error estimates in the energy norm and L2-norm are O(h2)and O(h3),respectively.The con-vergence rate is uniformly optimal with respect to λ. |
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| Keywords: | Locking-free |
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