Generalized Difference Methods on Arbitrary Quadrilateral Networks

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Abstract

This paper considers the generalized difference methods on arbitrary networks for Poisson equations. Convergence order estimates are proved based on some a priori estimates. A supporting numerical example is provided.

Keywords:

Quadrilateral elements Dual Grids Bilinear functions Generalized difference methods Priori estimates Error estimates.
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Generalized Difference Methods on Arbitrary Quadrilateral Networks. (2021). Journal of Computational Mathematics, 17(6), 653-672. https://www.global-sci.com/index.php/JCM/article/view/11351