Abstract Superconvergence of the second order cubic edge elements approximation is investigated on uniform and nonuniform mesh. Superconvergence of one order higher is established at the second order Gauss points for both the finite element solution and the curl of this solution. Numerical examples are presented to support our theoretical analysis.

中文翻译：

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使用麦克斯韦方程组的二阶三次边元的超收敛

摘要 研究了均匀和非均匀网格上二阶立方边元逼近的超收敛性。对于有限元解和该解的旋度，在二阶高斯点处建立了更高一阶的超收敛。给出了数值例子来支持我们的理论分析。