A Multi-Parameter Splitting Extrapolation and a Parallel Algorithm for Elliptic Eigenvalue Problem

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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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A Multi-Parameter Splitting Extrapolation and a Parallel Algorithm for Elliptic Eigenvalue Problem. (1998). Journal of Computational Mathematics, 16(3), 213-220. https://www.global-sci.com/index.php/JCM/article/view/11272