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Superconvergence of mixed covolume method for elliptic problems on triangular grids

✍ Scribed by Chunjia Bi

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
186 KB
Volume
216
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, we consider the superconvergence of a mixed covolume method on the quasi-uniform triangular grids for the variable coefficient-matrix Poisson equations. The superconvergence estimates between the solution of the mixed covolume method and that of the mixed finite element method have been obtained. With these superconvergence estimates, we establish the superconvergence estimates and the L ∞ -error estimates for the mixed covolume method for the elliptic problems. Based on the superconvergence of the mixed covolume method, under the condition that the triangulation is uniform, we construct a post-processing method for the approximate velocity which improves the order of approximation of the approximate velocity.

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