In this paper, we consider the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with discontinuous Galerkin (DG) coupling for linear elasticity equations in highly heterogeneous and high contrast media. We will introduce construction of a DG version CEM-GMsFEM, such as auxiliary basis functions offline functions. The offers some advantages flexibility coars...

An interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method of arbitrary order is proposed for linear elasticity interface problems on unfitted meshes with respect to the and domain boundary. The uses piecewise polynomials degrees \(k\ (\ge 1)\) \(k-1\) respectively displacement stress approximations in interior elements inside subdomains separated by interface, d...