Two-grid variational multiscale method with bubble stabilization for convection diffusion equation
Two-grid variational multiscale method with bubble stabilization for convection diffusion equation
复制标题
对流扩散方程的气泡稳定二网格变分多尺度方法
DOI：
10.1016/j.apm.2015.06.023
复制
发表时间：
2016
影响因子：
5
通讯作者：
Xiliang Lu
中科院分区：
文献类型：
--
作者：
Zhifeng Weng;Jerry Zhijian Yang;Xiliang Lu
研究了一种基于对流主导的非线性对流扩散方程的两个局部高斯积分的两网格变分多尺度（VMS）方法。该方法将两网格策略与选择多项式气泡函数作为子网格尺度的变分多尺度方法相结合。应用两个局部高斯积分来替换投影算子，而不添加任何额外的存储。此外，还获得了二网格法算法的误差估计。数值例子验证了所提出方法的理论结果。
A two-grid variational multiscale (VMS) method based on two local Gauss integrations for the convection dominated nonlinear convection diffusion equation is investigated. This method combines the two-grid strategy with the variational multiscale method which chooses polynomial bubble functions as subgrid scale. Two local Gauss integrations are applied to replace the projection operator without adding any extra storage. Moreover, the error estimates for the algorithms of the two-grid method are obtained. Numerical examples validate the theoretical results of the presented methods.