Influence of Method for Imposing Essential Boundary Condition on Meshless Galerkin/Petrov–Galerkin Approaches
Influence of Method for Imposing Essential Boundary Condition on Meshless Galerkin/Petrov–Galerkin Approaches
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DOI：
10.1109/tmag.2007.892477
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发表时间：
2006-06
影响因子：
2.1
通讯作者：
S. Ikuno;K. Takakura;A. Kamitani
中科院分区：
文献类型：
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作者：
S. Ikuno;K. Takakura;A. Kamitani
通过从各种函数空间中选择试验函数和检验函数，提出了改进的无网格法。所提出的方法的精度进行评估的两种方式施加本质边界条件。计算结果表明，检验函数的类型对精度没有影响。与此相反，移动最小二乘近似的权重函数不应被选择为试函数，以确保精度。此外，本质边界条件施加方式的选择对计算精度的影响也未被发现
Modified meshless methods are proposed by choosing trial and test functions from a variety of functional spaces. The accuracy of the proposed methods is evaluated for two ways of imposing essential boundary conditions. The results of computations show that the types of the test functions do not influence on the accuracy. In contrast, the weight functions for the moving least square approximation should not be chosen as trial functions to ensure the accuracy. Furthermore, the influence of choosing the ways for imposing essential boundary conditions on the accuracy was not detected