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Physics-informed neural networks (PINNs) have emerged as a promising framework for solving inverse problems governed by partial differential equations (PDEs), including the reconstruction of turbulent flow fields from sparse data. However,…

机器学习 · 计算机科学 2026-04-21 Khemraj Shukla , Zongren Zou , Theo Kaeufer , Michael Triantafyllou , George Em Karniadakis

In this study, we introduce a method based on Separable Physics-Informed Neural Networks (SPINNs) for effectively solving the BGK model of the Boltzmann equation. While the mesh-free nature of PINNs offers significant advantages in handling…

数值分析 · 数学 2025-07-11 Jaemin Oh , Seung Yeon Cho , Seok-Bae Yun , Eunbyung Park , Youngjoon Hong

We present a Physics-Informed Neural Network (PINN) to simulate the thermochemical evolution of a composite material on a tool undergoing cure in an autoclave. In particular, we solve the governing coupled system of differential equations…

机器学习 · 计算机科学 2021-06-16 Sina Amini Niaki , Ehsan Haghighat , Trevor Campbell , Anoush Poursartip , Reza Vaziri

Physics-informed neural networks (PINNs) can be used to solve partial differential equations (PDEs) and identify hidden variables by incorporating the governing equations into neural network training. In this study, we apply PINNs to the…

Material identification is critical for understanding the relationship between mechanical properties and the associated mechanical functions. However, material identification is a challenging task, especially when the characteristic of the…

材料科学 · 物理学 2022-11-29 Wensi Wu , Mitchell Daneker , Matthew A. Jolley , Kevin T. Turner , Lu Lu

We develop a physics-informed neural network (PINN) to significantly augment state-of-the-art experimental data and apply it to stratified flows. The PINN is a fully-connected deep neural network fed with time-resolved, three-component…

流体动力学 · 物理学 2023-09-27 Lu Zhu , Xianyang Jiang , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

In this article, we propose a novel Stabilized Physics Informed Neural Networks method (SPINNs) for solving wave equations. In general, this method not only demonstrates theoretical convergence but also exhibits higher efficiency compared…

数值分析 · 数学 2024-03-29 Yuling Jiao , Yuhui Liu , Jerry Zhijian Yang , Cheng Yuan

Accurate assessment of central hemodynamics is essential for diagnosis and risk stratification, yet it still relies largely on invasive measurements or on indirect reconstructions built from population-averaged transfer functions. While…

Concrete manufacturing projects are one of the most common ones for consulting agencies. Because of the highly non-linear dependency of input materials like ash, water, cement, superplastic, etc; with the resultant strength of concrete, it…

机器学习 · 计算机科学 2024-08-31 Sam Varghese , Rahul Anand , Gaurav Paliwal

Accurate forecasting of contagious diseases is critical for public health policymaking and pandemic preparedness. We propose a new infectious disease forecasting model based on physics-informed neural networks (PINNs), an emerging…

Fluid mechanics is a fundamental field in engineering and science. Solving the Navier-Stokes equation (NSE) is critical for understanding the behavior of fluids. However, the NSE is a complex partial differential equation that is difficult…

计算物理 · 物理学 2023-04-10 Ayoub Farkane , Mounir Ghogho , Mustapha Oudani , Mohamed Boutayeb

Physics-informed neural networks (PINNs) have emerged as a new learning paradigm for solving partial differential equations (PDEs) by enforcing the constraints of physical equations, boundary conditions (BCs), and initial conditions (ICs)…

机器学习 · 计算机科学 2025-05-21 Chenhong Zhou , Jie Chen , Zaifeng Yang , Ching Eng Png

The prohibitive cost and low fidelity of experimental data in industry scale thermofluid systems limit the usefulness of pure data-driven machine learning methods. Physics-informed neural networks (PINN) strive to overcome this by embedding…

流体动力学 · 物理学 2021-05-25 Ryno Laubscher , Pieter Rousseau

Physics-informed neural networks (PINNs) have emerged as a major research focus. However, today's PINNs encounter several limitations. Firstly, during the construction of the loss function using automatic differentiation, PINNs often…

计算工程、金融与科学 · 计算机科学 2026-03-26 Chang Wei , Yuchen Fan , Jian Cheng Wong , Chin Chun Ooi , Heyang Wang , Pao-Hsiung Chiu

In this work, a model based on the Physics - Informed Neural Networks (PINNs) for solving elastic deformation of heterogeneous solids and associated Uncertainty Quantification (UQ) is presented. For the present study, the PINNs framework -…

Physics-Informed Neural Networks (PINNs) have emerged as a promising approach for solving partial differential equations (PDEs) by embedding the governing physics into the loss function associated with a deep neural network. In this work, a…

Physics-Informed Neural Networks (PINNs) are a class of deep learning models aiming to approximate solutions of PDEs by training neural networks to minimize the residual of the equation. Focusing on non-equilibrium fluctuating systems, we…

机器学习 · 计算机科学 2025-09-25 Javier Castro , Benjamin Gess

In this work, we have applied physics-informed neural networks (PINN) for solving mesh deformation problems. We used the collocation PINN method to capture the new positions of the vertex nodes while preserving the connectivity information.…

流体动力学 · 物理学 2023-01-18 Atakan Aygun , Romit Maulik , Ali Karakus

Physics-informed neural networks (PINNs) are trained using physical equations and can also incorporate unmodeled effects by learning from data. PINNs for control (PINCs) of dynamical systems are gaining interest due to their prediction…

系统与控制 · 电气工程与系统科学 2024-08-29 Henrik Krauss , Tim-Lukas Habich , Max Bartholdt , Thomas Seel , Moritz Schappler

Physics-Informed Neural Networks (PINN) are neural networks encoding the problem governing equations, such as Partial Differential Equations (PDE), as a part of the neural network. PINNs have emerged as a new essential tool to solve various…

数值分析 · 数学 2021-07-07 Stefano Markidis
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