A weak Galerkin generalized multiscale finite element method

作者：Mu Lin^*; Wang Junping; Ye Xiu

来源：Journal of Computational and Applied Mathematics, 2016, 305: 68-81.

DOI：10.1016/j.cam.2016.03.017

• Weak Galerkin
• Multiscale
• Finite element methods
• Elliptic problems with rapidly oscillating or high contrast coefficients
• Polyhedral meshes

In this paper, we propose a general framework for weak Galerkin generalized multiscale (WG-GMS) finite element method for the elliptic problems with rapidly oscillating or high contrast coefficients. This general WG-GMS method features in high order accuracy on general meshes and can work with multiscale basis derived by different numerical schemes. A special case is studied under this WG-GMS framework in which the multiscale basis functions are obtained by solving local problem with the weak Galerkin finite element method. Convergence analysis and numerical experiments are obtained for the special case.

• 出版日期2016-10-15
• 单位国家自然科学基金委员会