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二维非线性对流扩散方程的特征混合有限元两重网格算法 被引量:2

Two-grid Method for the Characteristic Mixed Finite Element Approximations of 2D Nonlinear Convection Diffusion Problems
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摘要 本文构造了求解非线性对流扩散方程的两重网格算法,该算法首先是在步长为H的粗网格上求解一个非线性问题,再利用粗网格解得到一个线性问题并在细网格上求解一个线性问题。理论分析与数值计算表明,该算法不仅消除了数值振荡现象,还极大地提高了非线性对流扩散方程的计算效率。 A two-grid method for numerically solving the nonlinear convection-dominated diffusion problems is presented. This method includes two steps. First,a nonlinear problem is solved on a coarse grid,and then a linear problem generated by the coarse grid solutions is solved on a fine grid. The theoretical analysis and numerical example show that the new method is numerical stable and effcient.
出处 《工程数学学报》 CSCD 北大核心 2009年第5期906-916,共11页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(50679073) 陕西省教育厅自然科学研究项目(08JK399) 西安理工大学校基金(108-210711 108-210713)
关键词 对流扩散方程 特征混合有限元 两重网格法 收敛性 convection-diffusion equations characteristic mixed finite element two-grid method convergence
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