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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/490540 |
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| _version_ | 1832553366852468736 |
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| author | Li Ming Li Chen-Liang |
| author_facet | Li Ming Li Chen-Liang |
| author_sort | Li Ming |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e8fa6d007b8a4935bdf28275f02f7b59 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e8fa6d007b8a4935bdf28275f02f7b592025-02-03T05:54:15ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/490540 |
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