Volume 4, Issue 4
Some Advances in the Study of Error Expansion for Finite Elements

Qun Lin & Rui-Feng Xie

J. Comp. Math., 4 (1986), pp. 368-382.

Published online: 1986-04

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  • Abstract

For the eigenvalue problem on a smooth domain we prove that the Richardson extrapolation increases the accuracy from second to third order for linear finite elements, and from fourth ro fifth order for quadratic finite elements, without modification of the scheme near the boundary.

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@Article{JCM-4-368, author = {Lin , Qun and Xie , Rui-Feng}, title = {Some Advances in the Study of Error Expansion for Finite Elements}, journal = {Journal of Computational Mathematics}, year = {1986}, volume = {4}, number = {4}, pages = {368--382}, abstract = {

For the eigenvalue problem on a smooth domain we prove that the Richardson extrapolation increases the accuracy from second to third order for linear finite elements, and from fourth ro fifth order for quadratic finite elements, without modification of the scheme near the boundary.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9600.html} }
TY - JOUR T1 - Some Advances in the Study of Error Expansion for Finite Elements AU - Lin , Qun AU - Xie , Rui-Feng JO - Journal of Computational Mathematics VL - 4 SP - 368 EP - 382 PY - 1986 DA - 1986/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9600.html KW - AB -

For the eigenvalue problem on a smooth domain we prove that the Richardson extrapolation increases the accuracy from second to third order for linear finite elements, and from fourth ro fifth order for quadratic finite elements, without modification of the scheme near the boundary.

Qun Lin & Rui-Feng Xie. (1970). Some Advances in the Study of Error Expansion for Finite Elements. Journal of Computational Mathematics. 4 (4). 368-382. doi:
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