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

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
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