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对流扩散问题的特征-有限体积法及其误差估计
The Characteristics-Finite Volume Element Method and it’s Error Estimate for Convection Diffusion Problems
【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.
【Abstract】 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 H~1 norm error estimates are obtained between the exact solution of original problem and the solution of these fully discrete schemes.
【关键词】 对流扩散;
特征线方法;
有限体积元;
误差估计;
【Key words】 convection diffusion; characteristics line method; finite volume element; error estimates;
【Key words】 convection diffusion; characteristics line method; finite volume element; error estimates;
【基金】 国家自然科学基金(103016)
- 【文献出处】 南开大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Nankaiensis , 编辑部邮箱 ,2006年05期
- 【分类号】O241.82
- 【被引频次】2
- 【下载频次】242