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Volume 16, Issue 3
A Multi-Parameter Splitting Extrapolation and a Parallel Algorithm for Elliptic Eigenvalue Problem

Xiaohai Liao & Aihui Zhou

J. Comp. Math., 16 (1998), pp. 213-220.

Published online: 1998-06

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  • Abstract

The finite element solutions of elliptic eigenvalue equations are shown to have a multi-parameter asymptotic error expansion. Based on this expansion and a splitting extrapolation technique, a parallel algorithm for solving multi-dimensional equations with high order accuracy is developed.

  • Keywords

Finite element, multi-parameter error expansion, parallel algorithm, splitting extrapolation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-213, author = {Liao , Xiaohai and Zhou , Aihui}, title = {A Multi-Parameter Splitting Extrapolation and a Parallel Algorithm for Elliptic Eigenvalue Problem}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {3}, pages = {213--220}, abstract = {

The finite element solutions of elliptic eigenvalue equations are shown to have a multi-parameter asymptotic error expansion. Based on this expansion and a splitting extrapolation technique, a parallel algorithm for solving multi-dimensional equations with high order accuracy is developed.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9154.html} }
TY - JOUR T1 - A Multi-Parameter Splitting Extrapolation and a Parallel Algorithm for Elliptic Eigenvalue Problem AU - Liao , Xiaohai AU - Zhou , Aihui JO - Journal of Computational Mathematics VL - 3 SP - 213 EP - 220 PY - 1998 DA - 1998/06 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9154.html KW - Finite element, multi-parameter error expansion, parallel algorithm, splitting extrapolation. AB -

The finite element solutions of elliptic eigenvalue equations are shown to have a multi-parameter asymptotic error expansion. Based on this expansion and a splitting extrapolation technique, a parallel algorithm for solving multi-dimensional equations with high order accuracy is developed.

Liao , Xiaohai and Zhou , Aihui. (1998). A Multi-Parameter Splitting Extrapolation and a Parallel Algorithm for Elliptic Eigenvalue Problem. Journal of Computational Mathematics. 16 (3). 213-220. doi:
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