English
Related papers

Related papers: Physics-informed machine learning of redox flow ba…

200 papers

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

Numerical Analysis · Mathematics 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

This paper investigates the application of Physics-Informed Neural Networks (PINNs) for solving the inverse advection-diffusion problem to localize pollution sources. The study focuses on optimizing neural network architectures to…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Ivan Chuprov , Denis Derkach , Dmitry Efremenko , Aleksei Kychkin

Quantum state tomography (QST) faces exponential measurement requirements and noise sensitivity in multi-qubit systems, bottlenecking practical quantum technologies. We present a physics-informed neural network (PINN) framework integrating…

Quantum Physics · Physics 2025-12-17 Changchun Feng , Laifa Tao , Lin Chen

A physics-informed neural network (PINN) that combines deep learning with physics is studied to solve the nonlinear Schr\"odinger equation for learning nonlinear dynamics in fiber optics. We carry out a systematic investigation and…

Optics · Physics 2021-09-03 Xiaotian Jiang , Danshi Wang , Qirui Fan , Min Zhang , Chao Lu , Alan Pak Tao Lau

In recent engineering applications using deep learning, physics-informed neural network (PINN) is a new development as it can exploit the underlying physics of engineering systems. The novelty of PINN lies in the use of partial differential…

Computational Engineering, Finance, and Science · Computer Science 2026-02-26 Kart Leong Lim , Rahul Dutta , Mihai Rotaru

Physics-informed neural networks (PINNs) are an emerging technique to solve partial differential equations (PDEs). In this work, we propose a simple but effective PINN approach for the phase-field model of ferroelectric microstructure…

Materials Science · Physics 2024-09-06 Lan Shang , Sizheng Zheng , Jin Wang , Jie Wang

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…

Machine Learning · Computer Science 2024-07-16 Wei Zhou , Y. F. Xu

We extend the physics-informed neural network (PINN) method to learn viscosity models of two non-Newtonian systems (polymer melts and suspensions of particles) using only velocity measurements. The PINN-inferred viscosity models agree with…

Computational Physics · Physics 2021-07-14 Brandon Reyes , Amanda A. Howard , Paris Perdikaris , Alexandre M. Tartakovsky

Underwater explosion modeling faces a critical challenge of simultaneously resolving shock waves and gas-liquid interfaces, as traditional methods struggle to balance accuracy and computational efficiency. To address this, we develop a…

Fluid Dynamics · Physics 2025-08-12 Fulin Xing , Junjie Li , Ze Tao , Fujun Liu , Yong Tan

Physics-informed neural networks (PINNs) [31] use automatic differentiation to solve partial differential equations (PDEs) by penalizing the PDE in the loss function at a random set of points in the domain of interest. Here, we develop a…

Neural and Evolutionary Computing · Computer Science 2019-12-03 E. Kharazmi , Z. Zhang , G. E. Karniadakis

Physics-Informed Neural Networks (PINNs) are machine learning tools that approximate the solution of general partial differential equations (PDEs) by adding them in some form as terms of the loss/cost function of a Neural Network. Most…

Numerical Analysis · Mathematics 2022-08-29 Antonio Tadeu Azevedo Gomes , Larissa Miguez da Silva , Frederic Valentin

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…

Machine Learning · Statistics 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

Physics-informed neural networks (PINN) have achieved notable success in solving partial differential equations (PDE), yet solving the Navier-Stokes equations (NSE) with complex boundary conditions remains a challenging task. In this paper,…

Computational Physics · Physics 2025-07-24 Chuyu Zhou , ianyu Li , Chenxi Lan , Rongyu Du , Guoguo Xin , Pengyu Nan , Hangzhou Yang , Guoqing Wang , Xun Liu , Wei Li

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…

Machine Learning · Computer Science 2025-05-05 Keon Vin Park

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…

Machine Learning · Computer Science 2023-08-16 Weilong Guan , Kaihan Yang , Yinsheng Chen , Zhong Guan

Accurate reconstruction of localized extreme structures remains a critical bottleneck in the physics-informed modeling of electro-thermal-convective flows. Although conventional physics-informed neural networks effectively capture smooth…

Fluid Dynamics · Physics 2026-04-24 Baitong Zhou , Ze Tao , Ke Xu , Fujun Liu , Xuan Fang

Achieving clean combustion systems is crucial in terms of solving environmental impacts, decarbonization needs and sustainability matters. Traditional combustion modeling techniques via computational fluid dynamics with accurate chemical…

Fluid Dynamics · Physics 2025-09-11 Mahmood Mousavi , Caleb Caldwell , Jacob Baltes , Muteb Aljasem , Bok Jik Lee

In this study, we employ physics-informed neural networks (PINNs) to solve forward and inverse problems via the Boltzmann-BGK formulation (PINN-BGK), enabling PINNs to model flows in both the continuum and rarefied regimes. In particular,…

Computational Physics · Physics 2021-10-04 Qin Lou , Xuhui Meng , George Em Karniadakis

Physics-informed neural networks (PINNs) have emerged as a flexible framework for solving partial differential equations, but their performance on interface problems remains challenging because continuity and flux conditions are typically…

Numerical Analysis · Mathematics 2026-05-19 Seung Whan Chung , Stephen T. Castonguay , Sumanta Roy , Michael S. Penwarden , Yucheng Fu , Pratanu Roy

Approximating solutions to partial differential equations (PDEs) is fundamental for the modeling of dynamical systems in science and engineering. Physics-informed neural networks (PINNs) are a recent machine learning-based approach, for…