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A MULTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR ELLIPTIC EIGENVALUE PROBLEM |
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| Authors: | Xiao-hai Liao Ai-hui Zhou |
| 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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