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English(EN) Learning Metamaterial Eigenmodes with Wavelet-Encoded Fourier Neural Operators

小波编码的傅里叶神经网络算子加速超材料设计模拟

研究人员开发了一种新方法,使用小波编码的傅里叶神经网络算子(FNOs)来解决物理学中的复杂特征值问题,特别是用于超材料设计。该方法能有效预测弹性波动方程的多个本征模,这些本征模代表了任意超材料几何结构中声波的变形模式。小波编码对于匹配FNO的空间-频谱结构至关重要,即使存在几何不连续性也能实现准确的模式选择和预测。这种代理模型显著加速了超材料设计的模拟阶段,与传统的有限元分析相比,速度提高了三个数量级,同时保持了高保真度。 AI

影响 将超材料设计的模拟速度提高了三个数量级,从而实现了更快的迭代和发现。

排序理由 详细介绍求解偏微分方程特征值问题新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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小波编码的傅里叶神经网络算子加速超材料设计模拟

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详细介绍求解偏微分方程特征值问题新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Han Zhang, Alexander Ogren, Cynthia Rudin, Johann Guilleminot, L. Catherine Brinson ·

    使用小波编码傅里叶神经网络算子学习超材料本征模

    arXiv:2609.08102v1 Announce Type: new Abstract: Machine learning surrogates based on neural operators have shown broad applicability in solving forward PDE problems. However, eigenvalue problems, in which an eigenparameter and one of several valid eigenmodes must be simultaneousl…