Nicolaides, Roy A.; Wu, Xiaonan Covolume solutions of three-dimensional div-curl equations. (English) Zbl 0889.35006 SIAM J. Numer. Anal. 34, No. 6, 2195-2203 (1997). Summary: 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. Cited in 35 Documents MSC: 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 65N99 Numerical methods for partial differential equations, boundary value problems 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:Voronoi-Delaunay mesh systems; incompressible fluid dynamics PDF BibTeX XML Cite \textit{R. A. Nicolaides} and \textit{X. Wu}, SIAM J. Numer. Anal. 34, No. 6, 2195--2203 (1997; Zbl 0889.35006) Full Text: DOI