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Physics-informed neural networks (PINNs) have shown promising potential for solving partial differential equations (PDEs) using deep learning. However, PINNs face training difficulties for evolutionary PDEs, particularly for dynamical…

神经与进化计算 · 计算机科学 2023-12-25 Siqi Chen , Bin Shan , Ye Li

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

流体动力学 · 物理学 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

In this paper, the physics informed neural networks (PINNs) is employed for the numerical simulation of heat transfer involving a moving source. To reduce the computational effort, a new training method is proposed that uses a continuous…

数值分析 · 数学 2025-06-24 Anirudh Kalyan , Sundararajan Natarajan

Although physics-informed neural networks (PINNs) have shown great potential in dealing with nonlinear partial differential equations (PDEs), it is common that PINNs will suffer from the problem of insufficient precision or obtaining…

机器学习 · 计算机科学 2024-10-07 Feilong Jiang , Xiaonan Hou , Min Xia

Physics-informed neural networks (PINNs) have gained significant prominence as a powerful tool in the field of scientific computing and simulations. Their ability to seamlessly integrate physical principles into deep learning architectures…

机器学习 · 计算机科学 2024-04-05 Zakaria Elabid , Daniel Busby , Abdenour Hadid

Despite the significant progress over the last 50 years in simulating flow problems using numerical discretization of the Navier-Stokes equations (NSE), we still cannot incorporate seamlessly noisy data into existing algorithms,…

流体动力学 · 物理学 2021-05-21 Shengze Cai , Zhiping Mao , Zhicheng Wang , Minglang Yin , George Em Karniadakis

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

机器学习 · 计算机科学 2023-11-30 Samuel Burbulla

In the recent years, Physics Informed Neural Networks (PINNs) have received strong interest as a method to solve PDE driven systems, in particular for data assimilation purpose. This method is still in its infancy, with many shortcomings…

机器学习 · 计算机科学 2025-03-20 Nilo Schwencke , Cyril Furtlehner

In this paper, we introduce a formulation of Physics-Informed Neural Networks (PINNs), based on learning the form of the Fourier decomposition, and a training methodology based on a spread of randomly chosen boundary conditions. By training…

计算物理 · 物理学 2025-04-24 Rory Clements , James Ellis , Geoff Hassall , Simon Horsley , Gavin Tabor

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

The use of deep learning in physical sciences has recently boosted the ability of researchers to tackle physical systems where little or no analytical insight is available. Recently, the Physics-Informed Neural Networks (PINNs) have been…

量子物理 · 物理学 2024-10-23 Lorenzo Brevi , Antonio Mandarino , Enrico Prati

Abstract Interatomic potentials constitute the key component of large-scale atomistic simulations of materials. The recently proposed physically-informed neural network (PINN) method combines a high-dimensional regression implemented by an…

计算物理 · 物理学 2020-11-25 G. P. Purja Pun , V. Yamakov , J. Hickman , E. H. Glaessgen , Y. Mishin

We demonstrate a Physics-informed Neural Network (PINN) based model for real-time health monitoring of a heat exchanger, that plays a critical role in improving energy efficiency of thermal power plants. A hypernetwork based approach is…

机器学习 · 计算机科学 2022-12-21 Ritam Majumdar , Vishal Jadhav , Anirudh Deodhar , Shirish Karande , Lovekesh Vig , Venkataramana Runkana

Physics-informed neural networks (PINNs) have proven to be a promising method for the rapid solving of partial differential equations (PDEs) in both forward and inverse problems. However, due to the smoothness assumption of functions…

计算物理 · 物理学 2026-03-25 Guoqiang Lei , D. Exposito , Xuerui Mao

With growing investigations into solving partial differential equations by physics-informed neural networks (PINNs), more accurate and efficient PINNs are required to meet the practical demands of scientific computing. One bottleneck of…

机器学习 · 计算机科学 2025-10-29 Tianchi Yu , Yiming Qi , Ivan Oseledets , Shiyi Chen

We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate for physics-based representations of multiscale and…

计算物理 · 物理学 2021-03-17 Eric J. Hall , Søren Taverniers , Markos A. Katsoulakis , Daniel M. Tartakovsky

Physics-informed neural networks (PINNs) are at the forefront of scientific machine learning, making possible the creation of machine intelligence that is cognizant of physical laws and able to accurately simulate them. However, today's…

神经与进化计算 · 计算机科学 2026-02-23 Jian Cheng Wong , Chin Chun Ooi , Abhishek Gupta , Pao-Hsiung Chiu , Joshua Shao Zheng Low , My Ha Dao , Yew-Soon Ong

Physics-Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ)…

机器学习 · 计算机科学 2026-01-08 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , Jose I. Aizpurua

Physics-informed machine learning (PIML) has emerged as a promising new approach for simulating complex physical and biological systems that are governed by complex multiscale processes for which some data are also available. In some…

机器学习 · 计算机科学 2022-05-18 Khemraj Shukla , Mengjia Xu , Nathaniel Trask , George Em Karniadakis

Physics-informed neural networks (PINNs) have recently emerged as a promising alternative for extracting unknown quantities from experimental data. Despite this potential, much of the recent literature has relied on sparse, high-fidelity…

流体动力学 · 物理学 2026-01-09 Christian Toma , Bharathram Ganapathisubramani , Sean Symon