Two Stencil Elimination Schemes with Preserved Symmetry in Finite Difference Approximation for Poisson Equations

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (3): 335-341.

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Two Stencil Elimination Schemes with Preserved Symmetry in Finite Difference Approximation for Poisson Equations

LI Houbiao^1,2, LIU Xingping², GU Tongxiang², HUANG Tingzhu¹, LI Hong¹

1. School of Mathematicsal Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China;
2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2008-12-22 Revised:2009-06-20 Online:2010-05-25 Published:2010-05-25

Abstract

Abstract: Two kinds of Stencil elimination schemes with preserved symmetry are presented.Correlative symmetric positive definite difference equations are obtained.Condition number of coefficient matrix decreases over 7/9 folding ratio than that of five point difference Jacobi's.Their eigenvalues have a good clustered spectrum.Theoretic analysis and numerical experiments show that they are better than un-symmetric ones,and are more useful.

Key words: Poisson equation, stencil elimination, finite difference, symmetry

CLC Number:

O241.6

LI Houbiao, LIU Xingping, GU Tongxiang, HUANG Tingzhu, LI Hong. Two Stencil Elimination Schemes with Preserved Symmetry in Finite Difference Approximation for Poisson Equations[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(3): 335-341.

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Two Stencil Elimination Schemes with Preserved Symmetry in Finite Difference Approximation for Poisson Equations

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