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Convergence analysis of a finite volume method via a new nonconforming finite element method

✍ Scribed by Reiner Vanselow; Hans–Peter Scheffler

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
406 KB
Volume
14
Category
Article
ISSN
0749-159X

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✦ Synopsis

The article is devoted to the study of convergence properties of a Finite Volume Method (FVM) using Voronoi boxes for discretization. The approach is based on the construction of a new nonconforming Finite Element Method (FEM), such that the system of linear equations coincides completely with that for the FVM. Thus, by proving convergence properties of the FEM, we obtain similar ones of the FVM. In this article, the investigations are restricted to the Poisson equation.

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