4.7 Article

A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 68, Issue 12, Pages 2251-2261

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2014.08.007

Keywords

Discontinuous Galerkin method; Multiscale discontinuous Galerkin method; Convection-diffusion-reaction problem

Funding

  1. NRF [2007-0056131]
  2. National Research Foundation of Korea [2007-0056131] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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We provide a general framework of multiscale discontinuous Galerkin methods developed in Buffa et al. (2006), Hughes et al. (2006) for general second-order partial differential equations. We establish stability of the method and prove the error estimates. (C) 2014 Elsevier Ltd. All rights reserved.

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