Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme

Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme

Based on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique (Wang and Zhang (2009)) and a cubic interpolation operator. T...

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Main Authors: Li Ming, Li Chen-Liang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/490540
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spelling doaj-e8fa6d007b8a4935bdf28275f02f7b592020-11-24T23:13:05ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/490540490540Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact SchemeLi Ming0Li Chen-Liang1Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronics Technology, Guilin, Guangxi 541004, ChinaBased on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique (Wang and Zhang (2009)) and a cubic interpolation operator. The numerical experiments show that the new method is of higher accuracy and less computation time.http://dx.doi.org/10.1155/2014/490540
collection DOAJ
language English
format Article
sources DOAJ
author Li Ming
Li Chen-Liang
spellingShingle Li Ming
Li Chen-Liang
Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme
Journal of Applied Mathematics
author_facet Li Ming
Li Chen-Liang
author_sort Li Ming
title Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme
title_short Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme
title_full Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme
title_fullStr Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme
title_full_unstemmed Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme
title_sort richardson cascadic multigrid method for 2d poisson equation based on a fourth order compact scheme
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description Based on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique (Wang and Zhang (2009)) and a cubic interpolation operator. The numerical experiments show that the new method is of higher accuracy and less computation time.
url http://dx.doi.org/10.1155/2014/490540
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AT lichenliang richardsoncascadicmultigridmethodfor2dpoissonequationbasedonafourthordercompactscheme
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