Convergence of a Discontinuous Galerkin

We present a discontinuous Galerkin multiscale method for second order elliptic problems and prove convergence. We consider a heterogeneous and highly varying diffusion coefficient in L∞(Ω,Rd×d sym) with uniform spectral bounds without any assumption on scale separation or periodicity. The multiscale method uses a corrected basis that is computed on patches… CONTINUE READING