An Eulerian-Lagrangian substructuring domain decomposition method for unsteady-state advection-diffusion equations

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We develop an Eulerian-Lagrangian substructuring domain decomposition method for the solution of unsteady-state advection-diffusion transport equations. This method reduces to an Eulerian-Lagrangian scheme within each subdomain and to a type of Dirichlet-Neumann algorithm at subdomain interfaces. The method generates accurate and stable solutions that are free of artifacts even if large time-steps are used in the simulation. Numerical experiments are presented to show the strong potential of the method.

Original languageEnglish
Pages (from-to)565-583
Number of pages19
JournalNumerical Methods for Partial Differential Equations
Issue number6
Publication statusPublished - Nov 2001



  • Advection-diffusion equations
  • Characteristic methods
  • Domain decomposition methods
  • Eulerian-Lagrangian methods
  • Neumann-Dirichlet algorithm

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics

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