Sobolev方程非协调混合有限元格式的收敛性分析Convergence Analysis of Nonconforming Mixed Finite Element Scheme for Sobolev Equation
石东洋,闫凤娜
摘要(Abstract):
基于非协调EQrot1元及零阶Raviart-Thomas元,对Sobolev方程提出了一个关于时间具有二阶精度的新混合有限元全离散格式.利用两单元插值算子性质,分别导出了原始变量u在能量模和中间变量q=-("ut+"u)在L2模意义下的最优误差估计.最后给出数值算例验证了理论分析的正确性.
关键词(KeyWords): Sobolev方程;新混合有限元方法;全离散格式;最优误差估计
基金项目(Foundation): 国家自然科学基金资助项目,编号11271340
作者(Author): 石东洋,闫凤娜
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