【2022年1月締切】CiNii ArticlesへのCiNii Researchへの統合に伴う機関認証の移行確認について

【1/6更新】2022年4月1日からのCiNii ArticlesのCiNii Researchへの統合について

Scalable parallel elastic–plastic finite element analysis using a quasi-Newton method with a balancing domain decomposition preconditioner

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A domain decomposition method for large-scale elastic–plastic problems is proposed. The proposed method is based on a quasi-Newton method in conjunction with a balancing domain decomposition preconditioner. The use of a quasi-Newton method overcomes two problems associated with the conventional domain decomposition method based on the Newton–Raphson method: (1) avoidance of a double-loop iteration algorithm, which generally has large computational complexity, and (2) consideration of the local concentration of nonlinear deformation, which is observed in elastic–plastic problems with stress concentration. Moreover, the application of a balancing domain decomposition preconditioner ensures scalability. Using the conventional and proposed domain decomposition methods, several numerical tests, including weak scaling tests, were performed. The convergence performance of the proposed method is comparable to that of the conventional method. In particular, in elastic–plastic analysis, the proposed method exhibits better convergence performance than the conventional method.

source:https://doi.org/10.1007/s00466-018-1579-4

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