摘要
将有限体积元法与特征方向法结合起来,针对对流占优的扩散方程构造了全离散的特征-有限体积元格式,并进行了理论分析,得到了近似解与原问题真解的H1模误差估计,并给出数值算例.
The finite volume element method is conbined with the method of characteristics for the convection-dominated diffusion problems in this paper. By detailed theoretical analysis, optimal order H1 norm error estimates are obtained between the exact solution of original problem and the solution of these fully discrete schemes.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第5期35-41,共7页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
国家自然科学基金(103016)
关键词
对流扩散
特征线方法
有限体积元
误差估计
convection diffusion
characteristics line method
finite volume element
error estimates
