Nonconforming generalized multiscale finite element methods
作者：
Highlights：
• We propose a framework for the nonconforming generalized multiscale methods with explicit steps concretely given to illustrate our methodology.
• Our approach is simple and noble in the sense that it is free of parameters which are essential in other existing discontinuous Galerkin methods.
• Oversampling ideas enhance approximation quality of our approach.
• Our method performs well to resolve highly heterogeneous media.
• We provide several numerical examples to confirm the efficiency of the proposed method.
摘要
•We propose a framework for the nonconforming generalized multiscale methods with explicit steps concretely given to illustrate our methodology.•Our approach is simple and noble in the sense that it is free of parameters which are essential in other existing discontinuous Galerkin methods.•Oversampling ideas enhance approximation quality of our approach.•Our method performs well to resolve highly heterogeneous media.•We provide several numerical examples to confirm the efficiency of the proposed method.
论文关键词：Generalized multiscale finite element method,Nonconforming method,Highly heterogeneous media,Oversampling
论文评审过程：Received 28 January 2016, Revised 16 July 2016, Available online 1 August 2016, Version of Record 8 August 2016.
论文官网地址：https://doi.org/10.1016/j.cam.2016.07.028
