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This study introduces a computational approach leveraging Physics-Informed Neural Networks (PINNs) for the efficient computation of arterial blood flows, particularly focusing on solving the incompressible Navier-Stokes equations by using…

数值分析 · 数学 2024-04-29 Shivam Bhargava , Nagaiah Chamakuri

Physics-informed neural networks (PINNs) have recently become a powerful tool for solving partial differential equations (PDEs). However, finding a set of neural network parameters that lead to fulfilling a PDE can be challenging and…

机器学习 · 计算机科学 2023-04-12 Aleksandr Dekhovich , Marcel H. F. Sluiter , David M. J. Tax , Miguel A. Bessa

Physics-Informed Neural Networks (PINNs) are becoming a popular method for solving PDEs, due to their mesh-free nature and their ability to handle high-dimensional problems where traditional numerical solvers often struggle. Despite their…

数值分析 · 数学 2025-08-26 Yuzhen Li , Liang Li , Stéphane Lanteri , Bin Li

This study explores the potential of physics-informed neural networks (PINNs) for the realization of digital twins (DT) from various perspectives. First, various adaptive sampling approaches for collocation points are investigated to verify…

流体动力学 · 物理学 2024-05-21 Sunwoong Yang , Hojin Kim , Yoonpyo Hong , Kwanjung Yee , Romit Maulik , Namwoo Kang

Near-wall blood flow and wall shear stress (WSS) regulate major forms of cardiovascular disease, yet they are challenging to quantify with high fidelity. Patient-specific computational and experimental measurement of WSS suffers from…

流体动力学 · 物理学 2021-07-28 Amirhossein Arzani , Jian-Xun Wang , Roshan M. D'Souza

Physics-informed neural networks (PINNs) have been widely applied in different fields due to their effectiveness in solving partial differential equations (PDEs). However, the accuracy and efficiency of PINNs need to be considerably…

机器学习 · 计算机科学 2023-08-16 Weilong Guan , Kaihan Yang , Yinsheng Chen , Zhong Guan

Physics-informed neural networks (PINNs) have been popularized as a deep learning framework that can seamlessly synthesize observational data and partial differential equation (PDE) constraints. Their practical effectiveness however can be…

机器学习 · 计算机科学 2023-08-17 Sifan Wang , Shyam Sankaran , Hanwen Wang , Paris Perdikaris

We use Physics-Informed Neural Networks (PINNs) to solve the discrete-time nonlinear observer state estimation problem. Integrated within a single-step exact observer linearization framework, the proposed PINN approach aims at learning a…

Differential equations are involved in modeling many engineering problems. Many efforts have been devoted to solving differential equations. Due to the flexibility of neural networks, Physics Informed Neural Networks (PINNs) have recently…

计算工程、金融与科学 · 计算机科学 2025-09-22 Siyuan Yang , Cheng Song , Zhilu Lai , Wenjia Wang

The assimilation and prediction of phase-resolved surface gravity waves are critical challenges in ocean science and engineering. Potential flow theory (PFT) has been widely employed to develop wave models and numerical techniques for wave…

Digital twin technology, when combined with physics-informed machine learning with simulation results of Aspen, offers transformative capabilities for industrial process monitoring, control, and optimization. In this work, the proposed…

机器学习 · 计算机科学 2026-03-27 Debadutta Patra , Ayush Bardhan Tripathy , Soumya Ranjan Sahu , Sucheta Panda

Reliable spacecraft attitude control depends on accurate prediction of attitude dynamics, particularly when model-based strategies such as Model Predictive Control (MPC) are employed, where performance is limited by the quality of the…

机器人学 · 计算机科学 2026-02-19 Carlo Cena , Mauro Martini , Marcello Chiaberge

Proton exchange membrane (PEM) electrolyzers are pivotal for sustainable hydrogen production, yet their long-term performance is hindered by membrane degradation, which poses reliability and safety challenges. Therefore, accurate modeling…

计算工程、金融与科学 · 计算机科学 2025-07-08 Alejandro Polo-Molina , Jose Portela , Luis Alberto Herrero Rozas , Román Cicero González

Efficient modeling of jet diffusion during accidental release is critical for operation and maintenance management of hydrogen facilities. Deep learning has proven effective for concentration prediction in gas jet diffusion scenarios.…

计算工程、金融与科学 · 计算机科学 2023-09-06 Xinqi Zhang , Jihao Shi , Junjie Li , Xinyan Huang , Fu Xiao , Qiliang Wang , Asif Sohail Usmani , Guoming Chen

A physics-informed neural network (PINN) uses physics-augmented loss functions, e.g., incorporating the residual term from governing partial differential equations (PDEs), to ensure its output is consistent with fundamental physics laws.…

机器学习 · 计算机科学 2022-12-16 Jian Cheng Wong , Chinchun Ooi , Abhishek Gupta , Yew-Soon Ong

In various engineering and applied science applications, repetitive numerical simulations of partial differential equations (PDEs) for varying input parameters are often required (e.g., aircraft shape optimization over many design…

机器学习 · 计算机科学 2023-10-17 Woojin Cho , Kookjin Lee , Donsub Rim , Noseong Park

Physics-informed neural networks (PINNs) are a simple surrogate-modelling paradigm for partial differential equations, but their standard strong-form residual formulation is ill suited to the shallow water equations (SWE). It cannot enforce…

机器学习 · 计算机科学 2026-05-13 Xiaofeng Liu

The recent explosion of machine learning (ML) and artificial intelligence (AI) shows great potential in the breakthrough of metal additive manufacturing (AM) process modeling. However, the success of conventional machine learning tools in…

计算工程、金融与科学 · 计算机科学 2020-09-17 Qiming Zhu , Zeliang Liu , Jinhui Yan

This work is concerned with discovering the governing partial differential equation (PDE) of a physical system. Existing methods have demonstrated the PDE identification from finite observations but failed to maintain satisfying results…

数值分析 · 数学 2023-02-09 Pongpisit Thanasutives , Takashi Morita , Masayuki Numao , Ken-ichi Fukui

Multifidelity simulation methodologies are often used in an attempt to judiciously combine low-fidelity and high-fidelity simulation results in an accuracy-increasing, cost-saving way. Candidates for this approach are simulation…

计算物理 · 物理学 2023-01-09 Michael Penwarden , Shandian Zhe , Akil Narayan , Robert M. Kirby