Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods

Eric Chung, Yalchin Efendiev, Thomas Y. Hou
2016 Journal of Computational Physics  
In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not intended to be comprehensive. We present a general adaptive multiscale model reduction framework, the Generalized Multiscale Finite Element Method. Besides the method's basic outline, we discuss some important ingredients needed for the
more » ... success. We also discuss several applications. The proposed method allows performing local model reduction in the presence of high contrast and no scale separation.
doi:10.1016/ fatcat:b3xi4jz5ezhlvpvtqkd5wnhwx4