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高校应用数学学报
高校应用数学学报  2016, Vol. 31 Issue (4): 491-500    
    
非线性对流扩散方程的三层隐-显hp-局部间断Galerkin有限元方法
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南开大学 数学科学学院, 天津 300071
The three-step implicit-explicit hp-local discontinuous Galerkin finite element method for nonlinear convection diffusion problems
YOU Tong-shun
College of Mathematics, Nankai University, Tianjin 300071, China
 全文: PDF 
摘要： 使用Arnold等人提出的求解椭圆方程的间断有限元的一般框架及新的处理非线性对流项的方法, 得到了非线性对流扩散方程的三层隐-显hp-LDG方法的误差估计. 对Burgers方程进行了数值计算, 计算结果验证了文中得到的理论结果.
关键词： 对流占优扩散方程;  三层隐-显hp-LDG方法;  提升算子    
Abstract: By using the general framework introduced in Arnod et al. and the new method dealting with the nonlinear convection term, the error estimates of three-step implicit-explicit hpLDG method for nonlinear convection diffusion problems are obtained. The numerical example for the nonlinear Burgers equation is presented in the paper. The numerical results verify the theoretical results obtained in this paper.
Key words: convection diffusion equation    three-step implicit-explicit hp-LDG method    lifting operator method
收稿日期: 2016-03-11 出版日期: 2018-05-16
CLC:  O241.8  
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引用本文:

由同顺. 非线性对流扩散方程的三层隐-显hp-局部间断Galerkin有限元方法[J]. 高校应用数学学报, 2016, 31(4): 491-500.

YOU Tong-shun. The three-step implicit-explicit hp-local discontinuous Galerkin finite element method for nonlinear convection diffusion problems. Applied Mathematics A Journal of Chinese Universities, 2016, 31(4): 491-500.

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http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2016/V31/I4/491

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