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Full Waveform Inversion (FWI) is an important geophysical technique considered in subsurface property prediction. It solves the inverse problem of predicting high-resolution Earth interior models from seismic data. Traditional FWI methods…

Accurate prediction of structural displacements under external loading is fundamental to structural health monitoring and seismic safety assessment. Although the finite element method (FEM) remains the prevailing approach because of its…

Machine Learning · Computer Science 2026-05-12 Hung-Fu Chang , Tzu-Kang Lin , Yung-Li Cheng

The fast simulation of dynamical systems is a key challenge in many scientific and engineering applications, such as weather forecasting, disease control, and drug discovery. With the recent success of deep learning, there is increasing…

Machine Learning · Computer Science 2024-10-02 Zezheng Song , Jiaxin Yuan , Haizhao Yang

Seismic forward and inverse problems are significant research areas in geophysics. However, the time burden of traditional numerical methods hinders their applications in scenarios that require fast predictions. Machine learning-based…

Geophysics · Physics 2023-06-12 Yifan Mei , Yijie Zhang , Xueyu Zhu , Rongxi Gou

In this paper, we study the finite element operator network (FEONet), an operator-learning method for parametric problems, originally introduced in J. Y. Lee, S. Ko, and Y. Hong, Finite Element Operator Network for Solving Elliptic-Type…

Numerical Analysis · Mathematics 2026-01-05 Seungchan Ko , Jiyeon Kim , Dongwook Shin

Traditional numerical methods, such as the finite element method and finite volume method, adress partial differential equations (PDEs) by discretizing them into algebraic equations and solving these iteratively. However, this process is…

Computational Physics · Physics 2025-07-22 Jianghang Gu , Ling Wen , Yuntian Chen , Shiyi Chen

Learning operators for parametric partial differential equations (PDEs) using neural networks has gained significant attention in recent years. However, standard approaches like Deep Operator Networks (DeepONets) require extensive labeled…

Numerical Analysis · Mathematics 2024-09-17 Ting Du , Xianliang Xu , Wang Kong , Ye Li , Zhongyi Huang

Neural operators can learn nonlinear mappings between function spaces and offer a new simulation paradigm for real-time prediction of complex dynamics for realistic diverse applications as well as for system identification in science and…

Computational Physics · Physics 2022-03-23 Lu Lu , Xuhui Meng , Shengze Cai , Zhiping Mao , Somdatta Goswami , Zhongqiang Zhang , George Em Karniadakis

Full waveform inversion (FWI) infers the subsurface structure information from seismic waveform data by solving a non-convex optimization problem. Data-driven FWI has been increasingly studied with various neural network architectures to…

Machine Learning · Computer Science 2024-01-17 Min Zhu , Shihang Feng , Youzuo Lin , Lu Lu

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…

Machine Learning · Computer Science 2022-11-01 Vivek Parekh , Dominik Flore , Sebastian Schöps

Musculoskeletal models have been widely used for detailed biomechanical analysis to characterise various functional impairments given their ability to estimate movement variables (i.e., muscle forces and joint moment) which cannot be…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Jie Zhang , Yihui Zhao , Fergus Shone , Zhenhong Li , Alejandro F. Frangi , Shengquan Xie , Zhiqiang Zhang

The precision, stability, and performance of lightweight high-strength steel structures in heavy machinery is affected by their highly nonlinear dynamics. This, in turn, makes control more difficult, simulation more computationally…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Qasim Khadim , Peter Manzl , Emil Kurvinen , Aki Mikkola , Grzegorz Orzechowski , Johannes Gerstmayr

This work demonstrates that neural operator learning provides a powerful and flexible framework for building fast, accurate emulators of moving boundary systems, enabling their integration into digital twin platforms. To this end, a Deep…

Machine Learning · Computer Science 2025-12-24 Marco A. Iglesias , Michael. E. Causon , Mikhail Y. Matveev , Andreas Endruweit , Michael . V. Tretyakov

In the realm of computational science and engineering, constructing models that reflect real-world phenomena requires solving partial differential equations (PDEs) with different conditions. Recent advancements in neural operators, such as…

Quantum Physics · Physics 2025-06-11 Pengpeng Xiao , Muqing Zheng , Anran Jiao , Xiu Yang , Lu Lu

This paper advances the use of physics-informed neural networks (PINNs) architectures to address moving interface problems via the level set method. Originally developed for other PDE-based problems, we particularly leverage PirateNet's…

Computational Physics · Physics 2025-07-08 Mathieu Mullins , Hamza Kamil , Adil Fahsi , Azzeddine Soulaimani

Structural condition identification based on monitoring data is important for automatic civil infrastructure asset management. Nevertheless, the monitoring data is almost always insufficient, because the real-time monitoring data of a…

Computational Engineering, Finance, and Science · Computer Science 2023-07-31 Nengxin Bao , Tong Zhang , Ruizhi Huang , Suryakanta Biswal , Jingyong Su , Ying Wang

One predominant challenge in additive manufacturing (AM) is to achieve specific material properties by manipulating manufacturing process parameters during the runtime. Such manipulation tends to increase the computational load imposed on…

Machine Learning · Computer Science 2023-10-24 Mahmoud Yaseen , Dewen Yushu , Peter German , Xu Wu

Machine learning (ML) is increasingly used in structural engineering and design, yet its broader adoption is hampered by the lack of openly accessible datasets of structural systems. We introduce BridgeNet, a publicly available graph-based…

Computational Engineering, Finance, and Science · Computer Science 2025-12-17 Lazlo Bleker , Mustafa Cem Güneş , Pierluigi D'Acunto

We introduce a novel physics-informed approach for accurately modeling aggregation kinetics which provides a comprehensive solution in a single run by outputting all model parameters simultaneously, a clear advancement over traditional…

Dynamical Systems · Mathematics 2024-10-16 Farzona Mukhamedova , Ivan Tyukin , Nikolai Brilliantov

Multi-scale dynamic wake modeling and prediction are essential for the real-time control and optimization of floating offshore wind turbines (FOWTs). In this study, wakes of FOWTs under coupled surge and pitch motions across a range of…

Fluid Dynamics · Physics 2026-05-21 Guodan Dong , Jianhua Qin , Chang Xu