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Empirically corrected cluster cubature (E3C)

delete2025-03-01
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Stephan Wulfinghoff *
DOI：10.1016/j.cma.2025.117779delete
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摘要

摘要

En 中文
在计算均质化中，微观问题通常通过伽辽金投影方法求解以加速计算。通过采用超降维技术评估所涉及的积分，可以实现极高的计算效率。本文提出了一种新颖的超降维方法，并将其应用于静磁学中。该方法结合了微观结构聚类的思想，以及经验识别/修正一组降维积分点（这些点并非来自有限元积分点集）。结果表明，对于孔隙微观结构，当相对比达到约1000时，宏观响应（2D）在仅使用12个积分点时，几乎无法与有限元结果区分。因此，在线成本（以及离线成本）被证明特别低。此外，讨论了一个双尺度示例，并将代码在线发布。
Keyword:
Computational homogenization
Magnetism
Model order reduction
Hyper-reduction
AI总结

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对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

机构

U
Univ Kiel
学者数:
380
论文数: 205
被引数: 89
引用论文

引用论文

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