Covolume solutions of three-dimensional div-curl equations. (English) Zbl 0889.35006

Nicolaides, Roy A.; Wu, Xiaonan

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.

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