| 无网格局部Petrov-Galerkin方法中本质边界条件的处理 |
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| 引用本文： | 赵美玲,聂玉峰,袁占斌.无网格局部Petrov-Galerkin方法中本质边界条件的处理[J].应用力学学报,2006,23(3):493-495. |
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| 作者姓名： | 赵美玲 聂玉峰 袁占斌 |
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| 作者单位： | 1. 华北电力大学,保定,071003;西北工业大学,西安,710072
2. 西北工业大学,西安,710072 |
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| 摘 要： | 鉴于无网格局部Petrov-Galerkin方法(MLPG)形函数的非插值性质,将一种新的本质边界处理方案——完全变换法与MLPG结合,通过变换矩阵修正形函数,使其满足Kronecker-δ条件,实现了本质边界的精确实施。进一步与MLPG中通常处理边界的罚方法作了比较研究,数值结果表明新方法的可靠性与精确度。
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| 关 键 词： | 无网格方法 MLPG 本质边界 完全变换法 |
| 文章编号： | 1000-4939（2006）03-0493-03 |
| 收稿时间： | 2005-03-31 |
| 修稿时间： | 2005-03-312005-10-30 |
Imposing Essential Boundary Conditions in Meshless Local Petrov-Galerkin (MLPG) Method |
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| Zhao Meiling,Nie Yufeng,Yuan Zhanbin.Imposing Essential Boundary Conditions in Meshless Local Petrov-Galerkin (MLPG) Method[J].Chinese Journal of Applied Mechanics,2006,23(3):493-495. |
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| Authors: | Zhao Meiling Nie Yufeng Yuan Zhanbin |
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| Abstract: | Due to the loss of Kronecker delta properties in the meshless shape functions,the imposition of essential boundary conditions is a key issue. A new boundary treatment is proposed in the meshless local Petrov-Galerkin (MLPG) method,where the shape function is modified to satisfy the interpolating properties by a full transformation matrix. Furthermore,a comparative research between the proposed technique and the conventional penalty method is performed to verify the effectiveness and accuracy of the new approach. |
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| Keywords: | meshless method MLPG essential boundary conditions full transformation method |
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