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Structural failures are often caused by catastrophic events such as earthquakes and winds. As a result, it is crucial to predict dynamic stress distributions during highly disruptive events in real time. Currently available high-fidelity…

机器学习 · 计算机科学 2022-11-30 Hamed Bolandi , Gautam Sreekumar , Xuyang Li , Nizar Lajnef , Vishnu Naresh Boddeti

Physics-Informed Neural Networks (PINNs) show significant potential for solving inverse problems, especially when observations are limited and sparse, provided that the relevant physical equations are known. We use PINNs to estimate smooth…

数值分析 · 数学 2025-08-06 Moises Sierpe , Ernesto Castillo , Hernan Mella , Felipe Galarce

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…

计算工程、金融与科学 · 计算机科学 2026-02-26 Kart Leong Lim , Rahul Dutta , Mihai Rotaru

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

Turbulence remains a problem that is yet to be fully understood, with experimental and numerical studies aiming to fully characterise the statistical properties of turbulent flows. Such studies require huge amount of resources to capture,…

流体动力学 · 物理学 2022-05-31 Vijay Kag , Kannabiran Seshasayanan , Venkatesh Gopinath

Physics-Informed Neural Networks (PINNs) have emerged as a promising computational framework for solving differential equations by integrating deep learning with physical constraints. However, their application in gas turbines is still in…

计算工程、金融与科学 · 计算机科学 2025-06-25 Afila Ajithkumar Sophiya , Sepehr Maleki , Giuseppe Bruni , Senthil K. Krishnababu

Physics-Informed Neural Networks (PINNs) are a useful framework for approximating partial differential equation solutions using deep learning methods. In this paper, we propose a principled redesign of the PINNsformer, a Transformer-based…

机器学习 · 计算机科学 2025-10-08 Rohan Arni , Carlos Blanco

Physics-informed neural networks (PINNs) offer a novel AI-driven framework for integrating physical laws directly into neural network models, facilitating the solution of complex multiphysics problems in materials engineering. This study…

材料科学 · 物理学 2025-10-14 Mohid Farooqi , Ingmar Bösing , Conrard G. Tetsassi Feugmo

Performance of model-based feedforward controllers is typically limited by the accuracy of the inverse system dynamics model. Physics-guided neural networks (PGNN), where a known physical model cooperates in parallel with a neural network,…

机器学习 · 计算机科学 2022-01-31 Max Bolderman , Mircea Lazar , Hans Butler

In complex engineering systems such as electro-thermal-fluid coupling, rapid and accurate prediction of multi-physics fields is essential for advanced applications like digital twins and real-time condition monitoring. Traditional numerical…

计算物理 · 物理学 2026-03-25 Baitong Zhou , Ze Tao , Fujun Liu , Xuan Fang

Machine learning techniques are employed to perform the full characterization of a quantum system. The particular artificial intelligence technique used to learn the Hamiltonian is called physics informed neural network (PINN). The idea…

Physics-Informed Neural Networks (PINNs) have gained much attention in various fields of engineering thanks to their capability of incorporating physical laws into the models. However, the assessment of PINNs in industrial applications…

机器学习 · 计算机科学 2022-07-19 Thi Nguyen Khoa Nguyen , Thibault Dairay , Raphaël Meunier , Mathilde Mougeot

Simultaneously detecting hidden solid boundaries and reconstructing flow fields from sparse observations poses a significant inverse challenge in fluid mechanics. This study presents a physics-informed neural network (PINN) framework…

流体动力学 · 物理学 2025-04-01 Yongzheng Zhu , Weizheng Chen , Jian Deng , Xin Bian

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) 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

Physics-Informed Neural Networks have emerged as a promising methodology for solving PDEs, gaining significant attention in computer science and various physics-related fields. Despite being demonstrated the ability to incorporate the…

机器学习 · 计算机科学 2025-05-01 Yao-Hsuan Tsai , Hsiao-Tung Juan , Pao-Hsiung Chiu , Chao-An Lin

Physics-Informed Neural Networks (PINNs) and Neural Ordinary Differential Equations (NODEs) represent two distinct machine learning frameworks for modeling nonlinear neuronal dynamics. This study systematically evaluates their performance…

动力系统 · 数学 2026-03-31 Nikolaos M. Matzakos , Chrisovalantis Sfyrakis

Many physical and engineering systems require solving direct problems to predict behavior and inverse problems to determine unknown parameters from measurement. In this work, we study both aspects for systems governed by differential…

数值分析 · 数学 2026-03-04 Noura Al Helwani , Sophie Moufawad , Georges Sakr

Solving inverse problems with Physics-Informed Neural Networks (PINNs) is computationally expensive for multi-query scenarios, as each new set of observed data requires a new, expensive training procedure. We present Inverse-Parameter Basis…

机器学习 · 计算机科学 2025-09-10 Shalev Manor , Mohammad Kohandel

Physics-informed neural networks (PINNs) incorporate physical knowledge from the problem domain as a soft constraint on the loss function, but recent work has shown that this can lead to optimization difficulties. Here, we study the impact…

机器学习 · 计算机科学 2022-07-12 Shashank Subramanian , Robert M. Kirby , Michael W. Mahoney , Amir Gholami
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