@TechReport{	  it:2013-011,
  author	= {Daniel Elfverson and Axel M{\aa}lqvist},
  title		= {Discontinuous {G}alerkin Multiscale Methods for Convection
		  Dominated Problems},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2013},
  number	= {2013-011},
  month		= may,
  abstract	= {We propose an extension of the discontinuous Galerkin
		  multiscale method, presented in [11], to convection
		  dominated problems with rough, heterogeneous, and highly
		  varying coefficients. The properties of the multiscale
		  method and the discontinuous Galerkin method allows us to
		  better cope with multiscale features as well as boundary
		  layers in the solution. In the proposed method the trail
		  and test spaces are spanned by a corrected basis calculated
		  on localized patches of size $\mathcal{O}(H\log(H^{-1}))$,
		  where $H$ is the mesh size. We prove convergence rates
		  independent of the variation in the coefficients and
		  present numerical experiments which verify the analytical
		  findings.}
}