Adaptive variational multiscale method for the Stokes equations

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

来源：International Journal for Numerical Methods in Fluids, 2013, 71(11): 1369-1381.

DOI：10.1002/fld.3716

• variational multiscale method
• adaptivity
• error estimator
• the Stokes equations

An adaptive variational multiscale method for the Stokes equations is presented in this paper. We solve the coarse scale problem on the coarse mesh and approximate the fine scale solution by solving a series of local residual equations defined on some local fine grids, which can be implemented in parallel. In addition, we also propose a reliable local a posteriori error estimator and construct an adaptive algorithm based on the corresponding a posterior error estimate. Finally, numerical examples are presented to verify the algorithm.

• 出版日期2013-4-20
• 单位西安交通大学