Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems
We present novel Gauss integration schemes with radial basis point interpolation method (RPIM). These techniques define new Gauss integration scheme, researching Gauss points (RGD), and reconstructing Gauss domain (RGD), respectively. The developments lead to a curtailment of the elapsed CPU time wi...
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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/10.1155/2014/219538 |
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| _version_ | 1832568013636763648 |
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| author | Shi-Chao Yi Fu-jun Chen Lin-Quan Yao |
| author_facet | Shi-Chao Yi Fu-jun Chen Lin-Quan Yao |
| author_sort | Shi-Chao Yi |
| collection | DOAJ |
| description | We present novel Gauss integration schemes with radial basis point interpolation method (RPIM). These techniques define new Gauss integration scheme, researching Gauss points (RGD), and reconstructing Gauss domain (RGD), respectively. The developments lead to a curtailment of the elapsed CPU time without loss of the accuracy. Numerical results show that the schemes reduce the computational time to 25% or less in general. |
| format | Article |
| id | doaj-art-9723dbcf81b942588ab318292e8e6799 |
| 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-9723dbcf81b942588ab318292e8e67992025-02-03T00:59:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/219538219538Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane ProblemsShi-Chao Yi0Fu-jun Chen1Lin-Quan Yao2School of Mathematical Sciences, Soochow University, Suzhou 215006, ChinaSchool of Mathematical Sciences, Soochow University, Suzhou 215006, ChinaSchool of Urban Rail Transportation, Soochow University, Suzhou 215137, ChinaWe present novel Gauss integration schemes with radial basis point interpolation method (RPIM). These techniques define new Gauss integration scheme, researching Gauss points (RGD), and reconstructing Gauss domain (RGD), respectively. The developments lead to a curtailment of the elapsed CPU time without loss of the accuracy. Numerical results show that the schemes reduce the computational time to 25% or less in general.http://dx.doi.org/10.1155/2014/219538 |
| spellingShingle | Shi-Chao Yi Fu-jun Chen Lin-Quan Yao Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems Journal of Applied Mathematics |
| title | Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems |
| title_full | Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems |
| title_fullStr | Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems |
| title_full_unstemmed | Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems |
| title_short | Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems |
| title_sort | radial basis point interpolation method with reordering gauss domains for 2d plane problems |
| url | http://dx.doi.org/10.1155/2014/219538 |
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