Covolume Solutions of Three-Dimensional Div-Curl Equations

Authors:
Roy A. Nicolaides;Xiaonan Wu
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
1997

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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.