The heterogeneous multiscale method based on the discontinuous Galerkin method for hyperbolic and parabolic problems

Shanqin Chen, E. Weinan, Chi Wang Shu

Research output: Contribution to journalArticle

20 Scopus citations

Abstract

In this paper we develop a discontinuous Galerkin (DG) method, within the framework of the heterogeneous multiscale method (HMM), for solving hyperbolic and parabolic multiscale problems. Hyperbolic scalar equations and systems, as well as parabolic scalar problems, are considered. Error estimates are given for the linear equations, and numerical results are provided for the linear and nonlinear problems to demonstrate the capability of the method.

Original languageEnglish (US)
Pages (from-to)871-894
Number of pages24
JournalMultiscale Modeling and Simulation
Volume3
Issue number4
DOIs
StatePublished - Dec 29 2005

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications

Keywords

  • Discontinuous Galerkin method
  • Heterogeneous multiscale method
  • Homogenization

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