Abstract
For the parallel solution of structural finite element problem with non-matching multi-domains, a nonmatched finite element tearing and interconnectiong (FETI) parallel algorithm is proposed based on L-FETI method by introducing the frame node force and modifying the frame displacement compatibility condition and the load balance condition. Based on the radial basis functions (RBF) interpolation technique, the data transfer of internal force and displacement between the neighboring subdomains has a unified matrix format and is easy to program by introducing a local coordinate system into the non-matching interfaces. Taking the finite element model for plate bending problem with four subdomains as an example, two kinds of multi-domains models, matching and non-matching meshes, are constructed respectively. The numerical results show that the out-of-plane deflection of the same nodes on the domain decomposition frame is in a good agreement, which shows that the present method is reasonable and effective for solving the parallel non-matching multi-domains model.
Highlights
For the parallel solution of structural finite element problem with non⁃matching multi⁃domains, a non⁃ matched finite element tearing and interconnectiong ( FETI) parallel algorithm is proposed based on L⁃FETI method by introducing the frame node force and modifying the frame displacement compatibility condition and the load bal⁃ ance condition
Based on the radial basis functions ( RBF) interpolation technique, the data transfer of internal force and displacement between the neighboring subdomains has a unified matrix format and is easy to program by introducing a local coordinate system into the non⁃matching interfaces
The numerical results show that the out⁃of⁃plane deflection of the same nodes on the domain decomposition frame is in a good agreement, which shows that the present method is reasona⁃ ble and effective for solving the parallel non⁃matching multi⁃domains model
Summary
遍关注[11⁃14] 。 Smith 等[15] 对几种常用的径向基函数 进行了比较,Beckert 和 Wendland[16] 指出具有紧支 将模型划分成 Ns 个子域,并在模型切割处引入 虚拟框架 Γ。 设子域 Ωi 和 Ωj 相邻,记两子域之间的 局部框架为 Γij,与子域 Ωi 相邻的局部框架界面为 Γi。 一般来说,Γij 上节点分布与相邻子域边界 Γi 上节点分布无关,但为了提高存储效率及对计算精 式中, uf 为总框架 Γ 上节点位移,u(f i) 为与子域 Ωi Ú ëêê - B F f (NS)T (NS) (NS) ûúú éê α(1) ùú éê G(1) L(1)T ùú α = ê ...
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