求解对流-扩散方程的特征型混合有限分析格式

Characteristic Hybrid Finite Analytic Scheme for Solving Convection Diffusion Equation

借鉴双曲型方程特征线解法和局部网格求有限分析解的思想，提出一种求解对流—扩散方程的特征型混合有限分析格式．理论分析和数值计算表明，该格式性质优良，尤其适合于对流占优问题的计算．

With absorbing the thoughts of characteristic method for solving the hyperbolic equation and seeking exact solution of linearized equation in local element ,a characteristic hybrid finite analytic method is proposed to solve convection diffusion equation .The theoretic analysis and numerical examples indicate that the properties of this scheme are very good,and it is more fit for calculating the problem while convection is dominant.