对非线性Burgers方程的一个低阶混合特征有限元求解问题进行研究,用双线性元逼近原问题的解,用零阶Raviart-Thomas(RT)元逼近中间变量,借助双线性元及零阶RT元的性质,分别导出了精确解的H1模和中间变量的L2模的最优误差估计,数值模拟进一步验证了理论分析的正确性.%A new characteristics mixed finite element scheme is proposed for the Burgers equations,in which the bilinear element and the lowest order Raviart-Thomas(RT) element are used to approximate the exact solution and the intermediate variable.With the help of the known high accuracy results of the bilinear element and zeros order RT element,the optimal error estimate results of exact solution in H1 norm and the intermediate variable in L2 norm are deduced.Finally,a numerical experiment is provided to verify the theoretical analysis.
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