Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems

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 coarse grid sparsity resulting discrete systems. Moreover, to our best knowledge, is first time where proof convergence CEM-GMsFEM form given. Some numerical examples be presented illustrate performance method.