Element by element a posteriori error estimation and improvement of stress solutions for two‐dimensional elastic problems
Element by element a posteriori error estimation and improvement of stress solutions for two‐dimensional elastic problems
复制标题
逐个元素后验误差估计和二维弹性问题应力解的改进
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
M. Kitamura
中科院分区：
文献类型：
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作者：
H. Ohtsubo;M. Kitamura
提出了一种基于有限元解的后验误差估计的定量方法。该方法可以估计二维弹性问题四节点有限元解的误差。由于误差是逐单元估计的，因此所提出的方法不需要大的存储器或长的计算时间。该方法不仅可用于矩形单元，而且可用于任意形状的四节点单元，以高精度估计有限元计算中的误差。通过在原解中加入估计误差，改进了有限元解。所提出的方法可以用于任何类型的线性问题，如果使用等参有限元法。
A quantitative method of a posteriori error estimation based on finite element solutions is developed. The proposed method can estimate the error of solutions obtained by the finite element method for two-dimensional elastic problems with 4-node elements. Since the error is estimated element by element, the proposed method does not require a large memory or long computing time. Not only rectangular elements but also arbitrarily shaped 4-node elements can be used in this method for estimating the error in the finite element computation with high accuracy. The finite element solutions are improved by adding the estimated errors onto the original solutions. The proposed method can be utilized for any type of linear problem if an isoparametric finite element method is used.