A MULTISCALE DISCONTINUOUS GALERKIN METHOD IN PERFORATED DOMAINS

In this paper, we develop and investigate a multiscale model reduction technique within the framework of Interior Penalty Discontinuous Galerkin methods for problems in perforated domains. Previous research for developing multiscale methods for perforated domains is limited to continuous Galerkin formulations, which have some limitations. Discontinuous Galerkin approaches provide some advantages as they avoid partition of unity functions, allow more flexibility in constructing of basis functions and can be easily parallelized. We will present numerical examples for various 2D and some 3D examples to demonstrate the efficiency and accuracy of the proposed schemes.