A consistent method without pseudo-nodes for FEM interface

A consistent method without pseudo-nodes for FEM interface
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DOI:
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发表时间:
2005
期刊:
Chinese Journal of Computational Mechanics
影响因子:
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通讯作者:
Sun Zhi-gang
Sun Zhi-gang
中科院分区:
其他
文献类型:
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作者:
Sun Zhi-gang

文献摘要

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摘要 本文分析了罚函数伪节点位移一致方法。在此基础上,提出了非伪节点位移一致性方法,解决了不同密度网格间的位移一致性问题。推导了该方法的公式。从而协调计算精度和效率之间的矛盾。非伪节点位移一致方法提供对称带状矩阵。通过算例验证了所提方法的有效性。结果表明,该方法的准确性和效率令人满意。
Abstrcat This paper analyzed the penalty function pseudo-nodes displacement consistent method. Based on these methods, non-pseudo-nodes displacement consistent method is presented, which solved the problem of the displacement consistency between meshes with different densities. The formulations of the methods are deduced. Consequently the contradiction between calculation accuracy and efficiency is coordinated. Non-pseudo-nodes displacement consistent method provides symmetric banded matrices. The validity of the proposed method is verified by an example. The results show that the accuracy and efficiency of the method are satisfactory.