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The use of neural operators in a digital twin model of an offshore floating structure can provide a paradigm shift in structural response prediction and health monitoring, providing valuable information for real-time control. In this work,…

大气与海洋物理 · 物理学 2023-12-04 Qianying Cao , Somdatta Goswami , Tapas Tripura , Souvik Chakraborty , George Em Karniadakis

Long-term prediction of three-dimensional (3D) turbulent flows is one of the most challenging problems for machine learning approaches. Although some existing machine learning approaches such as implicit U-net enhanced Fourier neural…

流体动力学 · 物理学 2025-11-04 Yuchi Jiang , Zhijie Li , Yunpeng Wang , Huiyu Yang , Jianchun Wang

Physics-Informed Neural Operators provide efficient, high-fidelity simulations for systems governed by partial differential equations (PDEs). However, most existing studies focus only on multi-scale, multi-physics systems within a single…

机器学习 · 计算机科学 2025-07-08 Weidong Wu , Yong Zhang , Lili Hao , Yang Chen , Xiaoyan Sun , Dunwei Gong

In the design phase of an electrical machine, finite element (FE) simulation are commonly used to numerically optimize the performance. The output of the magneto-static FE simulation characterizes the electromagnetic behavior of the…

机器学习 · 计算机科学 2022-11-01 Vivek Parekh , Dominik Flore , Sebastian Schöps

The precise simulation of turbulent flows is of immense importance in a variety of scientific and engineering fields, including climate science, freshwater science, and the development of energy-efficient manufacturing processes. Within the…

流体动力学 · 物理学 2024-06-10 Shengyu Chen , Peyman Givi , Can Zheng , Xiaowei Jia

Deep neural operators are recognized as an effective tool for learning solution operators of complex partial differential equations (PDEs). As compared to laborious analytical and computational tools, a single neural operator can predict…

机器学习 · 统计学 2023-02-14 Navaneeth N , Tapas Tripura , Souvik Chakraborty

In the era of smart manufacturing, predictive maintenance (PdM) plays a pivotal role in improving equipment reliability and reducing operating costs. In this paper, we propose a novel Markov Decision Process (MDP) framework that integrates…

机器学习 · 计算机科学 2025-11-11 Shiqing Qiu

Neural operators have emerged as powerful deep learning frameworks for approximating solution operators of parameterized partial differential equations (PDE). However, current methods predominantly rely on multilayer perceptrons (MLPs) for…

流体动力学 · 物理学 2026-02-03 Biao Chen , Jing Wang , Hairun Xie , Qineng Wang , Shuai Zhang , Yifan Xia , Jifa Zhang

Predicting fracture load in laminated composites with stress raisers is challenging due to complex failure mechanisms such as delamination, fibre breakage, and matrix cracking, which are heavily influenced by fibre orientation, layup…

计算物理 · 物理学 2025-10-20 Amir Mohammad Mirzaei

In the design of engineered components, rigorous vibration testing is essential for performance validation and identification of resonant frequencies and amplitudes encountered during operation. Performing this evaluation numerically via…

机器学习 · 计算机科学 2026-03-12 D. Bluedorn , A. Badawy , B. E. Saunders , D. Roettgen , A. Abdelkefi

Finite element (FE) modeling is essential for structural analysis but remains computationally intensive, especially under dynamic loading. While operator learning models have shown promise in replicating static structural responses at FEM…

机器学习 · 计算机科学 2025-05-13 Bilal Ahmed , Yuqing Qiu , Diab W. Abueidda , Waleed El-Sekelly , Tarek Abdoun , Mostafa E. Mobasher

Recent advances in scientific machine learning have shed light on the modeling of pattern-forming systems. However, simulations of real patterns still incur significant computational costs, which could be alleviated by leveraging large…

计算工程、金融与科学 · 计算机科学 2023-02-28 Wei Li , Martin Z. Bazant , Juner Zhu

Modeling and simulating a power distribution network (PDN) for printed circuit boards (PCBs) with irregular board shapes and multi-layer stackup is computationally inefficient using full-wave simulations. This paper presents a new concept…

机器学习 · 计算机科学 2021-06-22 Ling Zhang , Jack Juang , Zurab Kiguradze , Bo Pu , Shuai Jin , Songping Wu , Zhiping Yang , Chulsoon Hwang

In multi-body dynamics, the motion of a complicated physical object is described as a coupled ordinary differential equation system with multiple unknown solutions. Engineers need to constantly adjust the object to meet requirements at the…

计算工程、金融与科学 · 计算机科学 2022-05-26 Wenhao Ding , Qing He , Hanghang Tong , Ping Wang

Nonlinear structural analyses in engineering often require extensive finite element simulations, limiting their applicability in design optimization and real-time control. Conventional deep learning surrogates often struggle with complex,…

机器学习 · 计算机科学 2026-02-20 Jangseop Park , Namwoo Kang

This paper proposes a physics-informed neural operator (PINO) framework for solving inverse scattering problems, enabling rapid and accurate reconstructions under diverse measurement conditions. In the proposed approach, the dielectric…

计算物理 · 物理学 2026-03-27 Q. C. Dong , Zi-Xuan Su , Qing Huo Liu , Wen Chen , Zhizhang , Chen

Neural operators serve as fast, data-driven surrogates for scientific modeling but typically rely on a monolithic, single-pass inference procedure that struggles to resolve high-frequency details, a limitation known as spectral bias. We…

机器学习 · 计算机科学 2026-05-27 Xiaotian Liu , Shuyuan Shang , Xiaopeng Wang , Pu Ren , Yaoqing Yang

Multifunctional metamaterials (MMM) bear promise as next-generation material platforms supporting miniaturization and customization. Despite many proof-of-concept demonstrations and the proliferation of deep learning assisted design, grand…

计算工程、金融与科学 · 计算机科学 2024-03-28 Doksoo Lee , Lu Zhang , Yue Yu , Wei Chen

Cellular metamaterials offer a vast design space for tailoring nonlinear mechanical responses, yet exploring this space with conventional modeling approaches is often infeasible or not scalable. To fully exploit their nonlinear behavior for…

应用物理 · 物理学 2026-02-17 Pu You , Hongshun Chen , Bahador Bahmani , Horacio D. Espinosa

Reliable digital twins of lithium-ion batteries must achieve high physical fidelity with sub-millisecond speed. In this work, we benchmark three operator-learning surrogates for the Single Particle Model (SPM): Deep Operator Networks…

机器学习 · 计算机科学 2025-08-12 Amir Ali Panahi , Daniel Luder , Billy Wu , Gregory Offer , Dirk Uwe Sauer , Weihan Li