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Neural networks are universal approximators that traditionally have been used to learn a map between function inputs and outputs. However, recent research has demonstrated that deep neural networks can be used to approximate operators,…

Deep Operator Networks (DeepONets) have emerged as a powerful surrogate modeling framework for learning solution operators in PDE-governed systems. While their use is expanding across engineering disciplines, applications in geotechnical…

机器学习 · 计算机科学 2026-03-11 Yongjin Choi , Chenying Liu , Jorge Macedo

Current groundwater models face a significant challenge in their implementation due to heavy computational burdens. To overcome this, our work proposes a cost-effective emulator that efficiently and accurately forecasts the impact of…

流体动力学 · 物理学 2023-04-25 Maria Luisa Taccari , He Wang , Somdatta Goswami , Jonathan Nuttall , Xiaohui Chen , Peter K. Jimack

Electroconvection is a multiphysics problem involving coupling of the flow field with the electric field as well as the cation and anion concentration fields. For small Debye lengths, very steep boundary layers are developed, but standard…

计算物理 · 物理学 2021-04-07 Shengze Cai , Zhicheng Wang , Lu Lu , Tamer A Zaki , George Em Karniadakis

We develop a 3D aerothermodynamic simulator for the Orion reentry capsule at hypersonic speeds, a timely case study given its role in upcoming lunar missions. The large computational meshes required for these scenarios make traditional…

Efficiently predicting the flowfield and load in aerodynamic shape optimisation remains a highly challenging and relevant task. Deep learning methods have been of particular interest for such problems, due to their success for solving…

流体动力学 · 物理学 2021-06-16 Li-Wei Chen , Berkay Alp Cakal , Xiangyu Hu , Nils Thuerey

Traditional 2D hydraulic models face significant computational challenges that limit their applications that are time-sensitive or require many model evaluations. This study presents a physics-informed Deep Operator Network (DeepONet)…

流体动力学 · 物理学 2026-01-14 Xiaofeng Liu , Yong G. Lai

Artificial intelligence techniques are considered an effective means to accelerate flow field simulations. However, current deep learning methods struggle to achieve generalization to flow field resolutions while ensuring computational…

流体动力学 · 物理学 2024-05-15 Kuijun Zuo , Zhengyin Ye , Linyang Zhu , Xianxu Yuan , Weiwei Zhang

Coupled multiphysics simulations for high-dimensional, large-scale problems can be prohibitively expensive due to their computational demands. This article presents a novel framework integrating a deep operator network (DeepONet) with the…

计算工程、金融与科学 · 计算机科学 2025-09-03 Fouad M. Amin , Diab W. Abueidda , Panos Pantidis , Mostafa E. Mobasher

Data fusion is an essential task in various domains, enabling the integration of multi-source information to enhance data quality and insights. One key application is in satellite remote sensing, where fusing multi-sensor observations can…

计算机视觉与模式识别 · 计算机科学 2025-10-28 Niraj Chaudhari , Manmeet Singh , Naveen Sudharsan , Amit Kumar Srivastava , Harsh Kamath , Dushyant Mahajan , Ayan Paul

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

Operator learning has become a powerful tool in machine learning for modeling complex physical systems governed by partial differential equations (PDEs). Although Deep Operator Networks (DeepONet) show promise, they require extensive data…

机器学习 · 计算机科学 2024-12-09 Xinling Yu , Sean Hooten , Ziyue Liu , Yequan Zhao , Marco Fiorentino , Thomas Van Vaerenbergh , Zheng Zhang

Traditional numerical schemes for simulating fluid flow and transport in porous media can be computationally expensive. Advances in machine learning for scientific computing have the potential to help speed up the simulation time in many…

计算物理 · 物理学 2023-07-06 Waleed Diab , Omar Chaabi , Shayma Alkobaisi , Abeeb Awotunde , Mohammed Al Kobaisi

Scientific applications increasingly demand real-time surrogate models that can capture the behavior of strongly coupled multiphysics systems driven by multiple input functions, such as in thermo-mechanical and electro-thermal processes.…

机器学习 · 计算机科学 2025-07-08 Kazuma Kobayashi , Jaewan Park , Qibang Liu , Seid Koric , Diab Abueidda , Syed Bahauddin Alam

Structural optimization is essential for designing safe, efficient, and durable components with minimal material usage. Traditional methods for vibration control often rely on active systems to mitigate unpredictable vibrations, which may…

计算物理 · 物理学 2024-12-31 A. Tollardo , F. Cadini , M. Giglio , L. Lomazzi

The widespread use of neural surrogates in automotive aerodynamics, enabled by datasets such as DrivAerML and DrivAerNet++, has primarily focused on bluff-body flows with large wakes. Extending these methods to aerospace, particularly in…

计算工程、金融与科学 · 计算机科学 2026-02-04 Fabian Paischer , Leo Cotteleer , Yann Dreze , Richard Kurle , Dylan Rubini , Maurits Bleeker , Tobias Kronlachner , Johannes Brandstetter

Modern power systems require fast and accurate dynamic simulations for stability assessment, digital twins, and real-time control, but classical ODE solvers are often too slow for large-scale or online applications. We propose a…

系统与控制 · 电气工程与系统科学 2025-11-10 Ioannis Karampinis , Petros Ellinas , Johanna Vorwerk , Spyros Chatzivasileiadis

The solution of partial differential equations (PDEs) plays a central role in numerous applications in science and engineering, particularly those involving multiphase flow in porous media. Complex, nonlinear systems govern these problems…

We present $\phi-$DeepONet, a physics-informed neural operator designed to learn mappings between function spaces that may contain discontinuities or exhibit non-smooth behavior. Classical neural operators are based on the universal…

计算工程、金融与科学 · 计算机科学 2026-04-10 Sumanta Roy , Stephen T. Castonguay , Pratanu Roy , Michael D. Shields

Deep operator networks (DeepONets) represent a powerful class of data-driven methods for operator learning, demonstrating strong approximation capabilities for a wide range of linear and nonlinear operators. They have shown promising…

机器学习 · 计算机科学 2025-03-04 Zhaoxi Jiang , Fei Wang