Considering the both effect of boundary approximation and numerical quadrature, a second‐order isoparametric element method is given to solve the homogeneous isotropic plane linear elasticity problem in domain Ω with curved boundary. By using technically analysis, the optimal error estimate with is obtained, where the function is an extension of the true solution to . It yields better accuracy than traditional quadratic finite element method. Finally, two numerical examples are presented, which further illustrate the analytical result and show the scheme is effective.

中文翻译：

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解决平面线性弹性问题的二阶等参单元法

考虑到边界逼近和数值正交性的影响，给出了二阶等参单元法来求解带弯曲边界的区域Ω中的均质各向同性平面线性弹性问题。通过使用技术上分析，最优误差估计与获得，其中函数是真溶液的延伸到。与传统的二次有限元方法相比，它具有更高的精度。最后，给出了两个数值例子，进一步说明了分析结果并表明了该方案的有效性。