Covolume solutions of three-dimensional div-curl equations

Roy A. Nicolaides*, Xiaonan WU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Citations (Scopus)

Abstract

The Voronoi-Delaunay mesh systems provide a generalization of the classical rectangular staggered meshes to unstructured meshes. In this work, it is shown how such "covolume" discretizations may be applied to div-curl systems in three dimensions. Error estimates are proved and confirmed by a numerical illustration.

Original languageEnglish
Pages (from-to)2195-2203
Number of pages9
JournalSIAM Journal on Numerical Analysis
Volume34
Issue number6
DOIs
Publication statusPublished - 1997

Scopus Subject Areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Div-curl systems
  • Incompressible fluid dynamics
  • Partial differential equations

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