局所座標系によりコースグリッドを定義したバランシング領域分割法

• 宮村 倫司

  日本大学 工学部

書誌事項

タイトル別名

• Balancing domain decomposition method whose coarse grid is defined using local coordinate systems

抄録

The balancing domain decomposition (BDD) method is an effective preconditioner for the substructuring-based iterative solver, which is a kind of the domain decomposition method. The BDD method is a powerful tool for the large-scale implicit structural analysis using the finite element method. It is a kind of the multi-grid method whose coarse grid is defined by the null spaces in subdomain problems. Shioya et al. proposed a method to construct the null spaces for the structural analysis using the rigid body modes of each subdomain. In the present study, the Shioya's method is improved, that is, the rigid body modes are defined using a local coordinate system of each subdomain instead of using the global coordinate system. In the original method, components with very different values are contained in the prolongation and restriction matrices that are used for making the coarse grid stiffness matrix. The proposed method reduces the difference of the values and improves the property of the coarse-grid stiffness matrix. In the numerical experiments, the proposed method reduces computation time and amount of used memory when the coarse grid problem is solved by a sparse direct solver with the pivoting. In addition, the convergence property of the CG method is improved in some numerical examples.

収録刊行物

• 日本機械学会論文集

  日本機械学会論文集 83 (852), 17-00070-17-00070, 2017

  一般社団法人 日本機械学会

キーワード

• Finite element method
• Structural analysis
• Balancing domain decomposition method
• Coarse grid problem
• Rigid body modes

詳細情報

• CRID: 1390282680493252992
• NII論文ID: 130006003969
• DOI: 10.1299/transjsme.17-00070
• ISSN: 21879761
• Web Site: https://www.jstage.jst.go.jp/article/transjsme/83/852/83_17-00070/_pdf
• 本文言語コード: ja
• データソース種別:
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