In this study, a parallel framework for the multiscale analysis of three-dimensional lattice structures is developed. The established parallel framework performs the multiscale analysis using the extended multiscale finite element method (EMsFEM) in a parallel environment provided by the portable and extensible toolkit for scientific computation (PETSc), which is a high-performance parallel scientific computing library. To realize this aim, we developed several modifications of the original EMsFEM method and adopted some routines from PETSc. Through numerical examples, the efficiency and accuracy of the proposed parallel computing framework were verified first. Then, the parallel acceleration ratio and parallel efficiency of the proposed parallel framework were studied. The proposed parallel computing framework shows good efficiency and can be used to deal with the analysis of large-scale lattice structures.

中文翻译：

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基于并行计算的3D晶格结构多尺度分析

在这项研究中，开发了一个用于三维晶格结构多尺度分析的并行框架。建立的并行框架在高性能并行科学计算库PETSc提供的并行环境中，使用扩展多尺度有限元法（EMsFEM）进行多尺度分析。为了实现这一目标，我们对原始 EMsFEM 方法进行了一些修改，并采用了 PETSc 的一些例程。通过数值算例，首先验证了所提出的并行计算框架的效率和准确性。然后，研究了所提出的并联框架的并联加速比和并联效率。