The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift
Networks and Heterogeneous Media, Volume 5, Number 4, page 711--744 - 2010
Download the publication :
![hmm_advec_diff.pdf [1.6Mo]](http://wwwmath.uni-muenster.de/num/publications/images/pdf.png)
This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advection-diffusion 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.
BibTex references
@Article{HO10a,
author = {Henning, P. and Ohlberger, M.},
title = {The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift},
journal = {Networks and Heterogeneous Media},
number = {4},
volume = {5},
pages = {711--744},
year = {2010},
doi = {10.3934/nhm.2010.5.711 },
url = \{/2010/HO10a},
}
Other publications in the database
