The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and la

Abstract. This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advectiondiffusion problems with rapidly oscillating coefficient functions and a large expected drift. We show that, in the case of periodic coefficient functions, this approach is equivalent to a discretization of the two-scale homogenized equation by means of a Discontinuous Galerkin Time Stepping Method with quadrature. We then derive an optimal order a-priori error estimate for this version of the HMM and finally provide numerical experiments to validate the method.

• Type: Journal
• Year: 2010
• Where: NHM
• Authors: Patrick Henning, Mario Ohlberger
• Keywords: Coefficient Functions, Heterogeneous Multiscale Finite, NHM 2010, Periodic Coefficient Functions