DMS Applied and Computational Mathematics Seminar

Speaker: Thi Thao Phuong Hoang (Auburn University)

Title: Space-time mixed finite element method for reduced fracture flow models on nonmatching grids

Abstract: We propose a space-time mixed variational formulation of the flow problem in a fractured porous medium, where the fracture is treated as a lower dimensional object embedded in the rock matrix. Different spatial and temporal grids can be used in the subdomains and in the fracture to adapt to the heterogeneity of the problem. To efficiently solve the coupled system between the subdomains and the fracture, substructuring techniques are used to derive a space-time interface problem which is solved iteratively by GMRES. Analysis and numerical results for the proposed methods will be presented.