An analysis of the isoparametric bilinear finite volume element method by applying the Simpson rule to quadrilateral meshes

An analysis of the isoparametric bilinear finite volume element method by applying the Simpson rule to quadrilateral meshes

In this work, we construct and study a special isoparametric bilinear finite volume element scheme for solving anisotropic diffusion problems on general convex quadrilateral meshes. The new scheme is obtained by employing the Simpson rule to approximate the line integrals in the classical isoparamet...

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Bibliographic Details
Main Authors: Shengying Mu, Yanhui Zhou
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Series:AIMS Mathematics
Subjects:
isoparametric bilinear fvem
simpson rule
coercivity result
optimal $ h^1 $ error estimate
anisotropic diffusion problem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231147?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231147?viewType=HTML

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