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The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

计算物理 · 物理学 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

流体动力学 · 物理学 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

In this work, we propose the Residual-Weighted Physics-Informed Neural Network (RW-PINN), a new method designed to enhance the accuracy of Physics-Informed Neural Network (PINN) based algorithms. We construct a deep learning framework with…

数值分析 · 数学 2025-09-03 K. Murari , P. Roul , S. Sundar

Physics-informed neural network (PINN) is a data-driven solver for partial and ordinary differential equations(ODEs/PDEs). It provides a unified framework to address both forward and inverse problems. However, the complexity of the…

机器学习 · 计算机科学 2024-01-17 Abdul Hannan Mustajab , Hao Lyu , Zarghaam Rizvi , Frank Wuttke

Physics-informed neural networks (PINNs) have recently emerged as a promising framework for integrating data-driven learning with physical knowledge. In this work, we propose a coupled PINN approach for the joint reconstruction of indoor…

机器学习 · 计算机科学 2026-05-05 Sani Biswas , Khursheed J. Ansari , Md. Nasim Akhtar

Physics-informed neural networks (PINNs) represent a significant advancement in scientific machine learning by integrating fundamental physical laws into their architecture through loss functions. PINNs have been successfully applied to…

机器学习 · 计算机科学 2024-07-16 Wei Zhou , Y. F. Xu

Fluid dynamics computations for tube-like geometries are important for biomedical evaluation of vascular and airway fluid dynamics. Physics-Informed Neural Networks (PINNs) have recently emerged as a good alternative to traditional…

流体动力学 · 物理学 2023-10-06 Hong Shen Wong , Wei Xuan Chan , Bing Huan Li , Choon Hwai Yap

Physics-informed neural networks (PINNs) have emerged as a versatile and widely applicable concept across various science and engineering domains over the past decade. This article offers a comprehensive overview of the fundamentals of…

计算工程、金融与科学 · 计算机科学 2024-10-02 Sai Ganga , Ziya Uddin

As an emerging technology in deep learning, physics-informed neural networks (PINNs) have been widely used to solve various partial differential equations (PDEs) in engineering. However, PDEs based on practical considerations contain…

机器学习 · 计算机科学 2021-11-11 Yuhao Huang

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

机器学习 · 统计学 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

Accurate representation of wells is essential for reliable reservoir characterization and simulation of operational scenarios in subsurface flow models. Physics-informed neural networks (PINNs) have recently emerged as a promising method…

流体动力学 · 物理学 2026-05-25 Linus Walter , Qingkai Kong , Sara Hanson-Hedgecock , Víctor Vilarrasa

In this article, our goal is to solve two-parameter singular perturbation problems (SPPs) in one- and two-dimensions using an adapted Physics-Informed Neural Networks (PINNs) approach. Such problems are of major importance in engineering…

数值分析 · 数学 2025-05-05 Pradanya Boro , Aayushman Raina , Srinivasan Natesan

We introduce a Lattice-Boltzmann-driven kinetic physics-informed neural network (K-PINN) for predictive modeling of droplet dynamics on structured surfaces, in which the discrete Boltzmann-BGK equation is incorporated into the learning…

计算工程、金融与科学 · 计算机科学 2026-04-21 Ganesh Sahadeo Meshram , Partha Pratim Chakrabarti , Suman Chakraborty

We provide an approach enabling one to employ physics-informed neural networks (PINNs) for uncertainty quantification. Our approach is applicable to systems where observations are scarce (or even lacking), these being typical situations…

数据分析、统计与概率 · 物理学 2024-08-12 Milad Panahi , Giovanni Michele Porta , Monica Riva , Alberto Guadagnini

Physics-Informed Neural Networks (PINNs) have emerged as a promising approach for solving Partial Differential Equations (PDEs) by incorporating physical constraints into deep learning models. However, standard PINNs often require a large…

机器学习 · 计算机科学 2025-05-05 Keon Vin Park

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Physics-Informed Neural Networks (PINN) emerged as a powerful tool for solving scientific computing problems, ranging from the solution of Partial Differential Equations to data assimilation tasks. One of the advantages of using PINN is to…

量子物理 · 物理学 2023-01-12 Stefano Markidis

Estimating heat flux in the nuclear fusion device EAST is a critically important task. Traditional scientific computing methods typically model this process using the Finite Element Method (FEM). However, FEM relies on grid-based sampling…

机器学习 · 计算机科学 2025-08-07 Xiao Wang , Zikang Yan , Hao Si , Zhendong Yang , Qingquan Yang , Dengdi Sun , Wanli Lyu , Jin Tang

This paper introduces a framework for combining scientific knowledge of physics-based models with neural networks to advance scientific discovery. This framework, termed physics-guided neural networks (PGNN), leverages the output of…

机器学习 · 计算机科学 2021-09-29 Arka Daw , Anuj Karpatne , William Watkins , Jordan Read , Vipin Kumar

Physics informed neural networks (PINNs) have drawn attention in recent years in engineering problems due to their effectiveness and ability to tackle the problems without generating complex meshes. PINNs use automatic differentiation to…

流体动力学 · 物理学 2022-06-20 Atakan Aygun , Ali Karakus