# A variational multiscale method for steady natural convection problem based on two-grid discretization

@article{Ma2016AVM, title={A variational multiscale method for steady natural convection problem based on two-grid discretization}, author={Xuesi Ma and Zhenzhen Tao and Tong Zhang}, journal={Advances in Difference Equations}, year={2016}, volume={2016}, pages={1-20} }

In this paper, we propose and analyze a two-grid variational multiscale method for the steady natural convection problem based on two local Gauss integrations technique. This method possesses the best algorithmic characteristics of both variational multiscale method and two-grid discretization. The main idea is to first solve the nonlinear steady natural convection problem on the coarse grid, then to use the coarse grid solution to fix the nonlinear terms, and to solve a linear problem on the… CONTINUE READING