A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation

作者：Song, Lina^*; Hou, Yanren; Zheng, Haibiao

来源：Applied Mathematics and Computation, 2010, 217(5): 2226-2237.

DOI：10.1016/j.amc.2010.07.023

• Variational multiscale method
• Bubble functions
• Two local Gauss integrations
• Convection-diffusion equation

This work presents a variational multiscale method based on polynomial bubble functions as subgrid scale and a numerical implementation based on two local Gauss integrations. This method can be implemented easily and efficiently for the convection-dominated problem. Static condensation of the bubbles suggests the stability of the method and we establish its global convergence. Representative numerical tests are presented.

• 出版日期2010-11-1
• 单位西安交通大学