时间: 2017年12月18日下午2:30--500， 地点：数学院209。
报告人： Nikiforov Djulustan （North East Federal University, Russia）。
摘要： In this work, a multiscale finite element method for solving flows in fractured porous media is presented. This approach is based on Generalized Multiscale Finite Element Method (GMsFEM), where we represent the fracture effects on a coarse grid via multiscale basis functions.
These multiscale basis functions are constructed in the offline stage via local spectral problems following GMsFEM.
To represent the fractures on the fine grid, we consider the Discrete Fracture Model (DFM) approach. In the DFM the permeability does not vary along the fractures, which coincide with the edges (or faces) of finite element mesh. The fracture aperture is taken into account in the finite element discretization as a lower dimensional lines or surfaces. More precisely, the discretization of the fractures on low dimensional surfaces are added to finite element discretization of the matrix system.
