| 结合泰勒公式的无单元法插值技术 |
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| 引用本文： | 孟闻远,赵妍,柴福鑫.结合泰勒公式的无单元法插值技术[J].华北水利水电学院学报,2004,25(3):26-29. |
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| 作者姓名： | 孟闻远 赵妍 柴福鑫 |
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| 作者单位： | 河海大学,土木工程学院,江苏,南京,210098;华北水利水电学院,河南,郑州,450011;华北水利水电学院,河南,郑州,450011 |
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| 基金项目： | 国家自然科学基金资助项目(50079005) |
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| 摘 要： | 传统的无单元伽辽金法因应用移动最小二乘法而存在很大的计算困难,在边界处无过点插值性质且需要大量的求逆运算.通过泰勒展开提出一种新的无单元形函数.该形函数用Shepard插值实现移动性及过点插值性,取泰勒多项式中的高次项来满足高阶连续性,避免了矩阵求逆运算,简化了计算过程.
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| 关 键 词： | 无单元 移动最小二乘 插值形函数 影响域 泰勒展开 |
| 文章编号： | 1002-5634(2004)03-0026-04 |
| 修稿时间： | 2004年3月20日 |
An Element-Free Method Interpolating Technique Combined with Taylor Expansion |
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| MENG Wen-yuan,ZHAO yan,CHAI Fu-xin.An Element-Free Method Interpolating Technique Combined with Taylor Expansion[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2004,25(3):26-29. |
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| Authors: | MENG Wen-yuan ZHAO yan CHAI Fu-xin |
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| Affiliation: | MENG Wen-yuan~1,ZHAO yan~2,CHAI Fu-xin~2 |
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| Abstract: | The conventional EFGM, due to the use of Moving Least-Squares(MLS)approximation, has not any pass-nodes interpolation character and needs too much calculating of inverse matrix, which has brought a lot of difficulties for numerical analysis. A new element-free shape function is aduanced based on Taylor expansion. The shape function achieves the moving and pass-nodes interpolation and chooses the high-order items from Taylor polynomial to satisfy the high-time continuity. Again the calculating of inverse matrix is not needed. |
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| Keywords: | element-free method moving least-square method interpolating shape function influence fields Taylor expansion |
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