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Volume 3, Issue 3
A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence

Shi Shu, Haiyuan Yu, Yunqing Huang & Cunyun Nie

Int. J. Numer. Anal. Mod., 3 (2006), pp. 348-360.

Published online: 2006-03

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  • 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.

  • Keywords

quadrilateral grids, symmetric finite volume schemes, asymptotic error expansion, superconvergence.

  • AMS Subject Headings

65N30, 65F10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-348, author = {Shu , ShiYu , HaiyuanHuang , Yunqing and Nie , Cunyun}, title = {A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/906.html} }
TY - JOUR T1 - A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence AU - Shu , Shi AU - Yu , Haiyuan AU - Huang , Yunqing AU - Nie , Cunyun JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 348 EP - 360 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/906.html KW - quadrilateral grids, symmetric finite volume schemes, asymptotic error expansion, superconvergence. AB -

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.

Shu , ShiYu , HaiyuanHuang , Yunqing and Nie , Cunyun. (2006). A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence. International Journal of Numerical Analysis and Modeling. 3 (3). 348-360. doi:
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