A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence

A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence

Year:    2006

Author:    Shi Shu, Haiyuan Yu, Yunqing Huang, Cunyun Nie

International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 348–360

Abstract

A symmetric finite volume element scheme on quadrilateral grids is established for a class of elliptic problems. The asymptotic error expansion of finite volume element approximation is obtained under rectangle grids, which in turn yields the error estimates and superconvergence of the averaged derivatives. Numerical examples confirm our theoretical analysis.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-IJNAM-906

International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 348–360

Published online:    2006-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    quadrilateral grids symmetric finite volume schemes asymptotic error expansion superconvergence.

Author Details

Shi Shu

Haiyuan Yu

Yunqing Huang

Cunyun Nie