Ke Shi

A Neural-network-based multiscale Hybridizable Discontinuous Galerkin method for solving PDEs in porous media

We develop a neural-network-accelerated multiscale hybridizable discontinuous Galerkin method for elliptic problems with heterogeneous coefficients. The method preserves the standard MsHDG local-to-global structure: fine-scale HDG problems on coarse blocks define discrete Dirichlet-to-Neumann operators, which are assem...