2 papers
math.NA2026
A residual driven multiscale method for Darcy's flow in perforated domains
Wei Xie, Shubin Fu, Yin Yang +1
In this paper, we present a residual-driven multiscale method for simulating Darcy flow in perforated domains, where complex geometries and highly heterogeneous permeability make d…
math.NA2025
An adaptive two-grid preconditioner and linearly implicit scheme for shale gas transport in fractured porous media
Maria Vasilyeva, Ben S. Southworth, Shubin Fu
We consider a nonlinear mixed-dimensional model for simulating gas transport in shale formation. The mathematical model consists of a coupled system of nonlinear equations, where f…