Cell boundary element methods for convection-diffusion equations

Youngmok Jeon, Eun Jae Park

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The purpose of the paper is to introduce a novel cell boundary element (CBE) method for the convection dominated diffusion equation. The CBE method can be viewed as a Petrov-Galerkin type method defined on the skeleton of a mesh. The proposed method utilizes continuity of normal flux on each inter-element boundary. By constructing a local basis (mesh-oriented element) that is dependent upon the orientation of the mesh we could obtain a stable non-oscillatory numerical scheme. We also consider a local basis (wind-oriented element) which incorporates the wind direction. Numerical examples are presented to compare various elements with the existing method such as the streamline diffusion method (SUPG).

Original languageEnglish
Pages (from-to)309-319
Number of pages11
JournalCommunications on Pure and Applied Analysis
Volume5
Issue number2
DOIs
Publication statusPublished - 2006 Jun 1

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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