New Algorithm of Coupling Element-Free Galerkin With Finite Element Method
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摘要: 通过构造新的斜坡函数,把无网格Galerkin法与有限元耦合算法应用到全域范围,并使其能适应不同连接域内单元结点构成,既满足了本质边界条件实现的需要,又能方便灵活的布置无网格点和有限元法中的单元,满足复杂计算要求.计算结果与理论解比较表明所提出的方法是可行和有效的.
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关键词:
- 无网格Galerkin法 /
- 耦合 /
- 斜坡函数 /
- 有限元
Abstract: Through the construction of a new ramp function, the element-free Galerkin method and finite element coupling method were applied to the whole field, and was made fit for the structure of element nodes within the interface regions, both satisfying the essential boundary conditions and deploying meshless nodes and finite elements in a convenient and flexible way, which can meet the requirements of computation for complicated field. The comparison between the results of the present study and the corresponding analytical solutions shows this method is feasible and effective.-
Key words:
- element-free Galerkin method /
- coupling /
- ramp function /
- finite element
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