| RKPM方法关于非线性椭圆边值问题的的误差估计 |
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| 引用本文： | 陶桂洪,宋叔尼,宋贽.RKPM方法关于非线性椭圆边值问题的的误差估计[J].安阳师范学院学报,2008(2):23-25. |
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| 作者姓名： | 陶桂洪 宋叔尼 宋贽 |
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| 作者单位： | 1. 沈阳农业大学,理学院,辽宁沈阳,110161
2. 东北大学,理学院,辽宁沈阳,110004 |
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| 摘 要： | 通过重构核近似的基本原理简单介绍了重构核质点法(reproducing kernel particle meshfree methods,RKPM),关于非线性椭圆方程的Dirichlet问题,结合重构核近似的理论误差估计,研究了在满足一定条件下的RKPM法对于该类问题的解的误差估计.
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| 关 键 词： | 无网格法 误差估计 RKPM Dirichlet边值问题 |
Error Estimate of RKPM for Nonlinear Elliptic Boundary Problem |
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| TAO Gui-hong,SONG Shu-ni,SONG Zhi.Error Estimate of RKPM for Nonlinear Elliptic Boundary Problem[J].Journal of Aayang Teachers College,2008(2):23-25. |
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| Authors: | TAO Gui-hong SONG Shu-ni SONG Zhi |
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| Abstract: | The RKPM(reproducing kernel particle methods) is simply introduced when the principle of reroducing kernel approximate is reviewed.About the nonlinear elliptic Dirichlet boundary problem,the error estimate of RKPM on this problem is gotten based on the error estimate of reproducing kernel approximation. |
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| Keywords: | Galerkin The error estimate RKPM Dirichlet boundary problem |
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