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Physics-informed neural network (PINN) has recently gained increasing interest in computational mechanics. In this work, we present a detailed introduction to programming PINN-based computational solid mechanics. Besides, two prevailingly…

计算工程、金融与科学 · 计算机科学 2023-04-11 Jinshuai Bai , Hyogu Jeong , C. P. Batuwatta-Gamage , Shusheng Xiao , Qingxia Wang , C. M. Rathnayaka , Laith Alzubaidi , Gui-Rong Liu , Yuantong Gu

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

Presently, there is a steady state approach in Computational fluid dynamics (CFD) to obtain a steady solution directly from the steady state governing equations. Whereas, for obtaining a time-periodic flow solution, the present unsteady…

计算物理 · 物理学 2026-05-19 Lakshya Chaplot , Harshita Agarwal , Atul Sharma

Physics-informed neural networks (PINNs) is an emerging category of neural networks which can be trained to solve supervised learning tasks while taking into consideration given laws of physics described by general nonlinear partial…

密码学与安全 · 计算机科学 2026-04-07 Solon Falas , Charalambos Konstantinou , Maria K. Michael

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

Physics-informed neural networks (PINN) have recently emerged as a promising application of deep learning in a wide range of engineering and scientific problems based on partial differential equation (PDE) models. However, evidence shows…

机器学习 · 计算机科学 2022-10-24 Caio Davi , Ulisses Braga-Neto

Physics-informed neural networks (PINNs) have recently emerged as promising data-driven PDE solvers showing encouraging results on various PDEs. However, there is a fundamental limitation of training PINNs to solve multi-dimensional PDEs…

机器学习 · 计算机科学 2023-11-01 Junwoo Cho , Seungtae Nam , Hyunmo Yang , Seok-Bae Yun , Youngjoon Hong , Eunbyung Park

This article introduces Perception-Informed Neural Networks (PrINNs), a framework designed to incorporate perception-based information into neural networks, addressing both systems with known and unknown physics laws or differential…

机器学习 · 计算机科学 2025-05-27 Mehran Mazandarani , Marzieh Najariyan

Physics-informed neural networks (PINNs) provide a promising framework for solving inverse problems governed by partial differential equations (PDEs) by integrating observational data and physical constraints in a unified optimization…

机器学习 · 计算机科学 2026-04-07 Yongsheng Chen , Yong Chen , Wei Guo , Xinghui Zhong

Synchronization control in networked dynamical systems requires regulating not only whether coherence is achieved, but also when and to what extent it emerges. We propose a physics-informed neural network (PINN) framework for…

混沌动力学 · 物理学 2026-01-05 Kaiming Luo

This paper puts forward the vision of creating a library of neural-network-based models for power system simulations. Traditional numerical solvers struggle with the growing complexity of modern power systems, necessitating faster and more…

系统与控制 · 电气工程与系统科学 2025-02-11 Ioannis Karampinis , Petros Ellinas , Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

A data-driven computational heuristic is proposed to control MIMO systems without prior knowledge of their dynamics. The heuristic is illustrated on a two-input two-output balance system. It integrates a self-adjusting nonlinear threshold…

系统与控制 · 电气工程与系统科学 2021-04-02 Ning Wang , Mohammed Abouheaf , Wail Gueaieb

Integration of machine learning (ML) into the topology optimization (TO) framework is attracting increasing attention, but data acquisition in data-driven models is prohibitive. Compared with popular ML methods, the physics-informed neural…

机器学习 · 计算机科学 2023-12-13 Jichao Yin , Ziming Wen , Shuhao Li , Yaya Zhanga , Hu Wang

In this article, we propose a data-enabled economic predictive control method for a class of nonlinear systems, which aims to optimize the economic operational performance while handling hard constraints on the system outputs. Two lifting…

系统与控制 · 电气工程与系统科学 2025-12-30 Mingxue Yan , Xuewen Zhang , Kaixiang Zhang , Zhaojian Li , Xunyuan Yin

Physics-informed neural networks (PINNs) have recently emerged as a promising way to compute the solutions of partial differential equations (PDEs) using deep neural networks. However, despite their significant success in various fields, it…

数值分析 · 数学 2024-07-15 Seungchan Ko , Sang Hyeon Park

Physics-Informed Neural Networks (PINNs) are mesh-free approaches for the numerical approximation of partial differential equations, where a neural network is trained by minimizing a loss function derived from the governing equations and…

数值分析 · 数学 2026-04-03 Medard Govoeyi , Thomas Richter

The current work aims to incorporate physics-based loss in Physics Informed Neural Network (PINN) directly using the numerical residual obtained from the governing equation in any dicretized forward solver. PINN's major difficulties in…

数值分析 · 数学 2025-09-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Physics-Informed Neural Networks (PINNs) solve physical systems by incorporating governing partial differential equations directly into neural network training. In electromagnetism, where well-established methodologies such as FDTD and FEM…

计算物理 · 物理学 2026-02-13 Nilufer K. Bulut

Soft robots can revolutionize several applications with high demands on dexterity and safety. When operating these systems, real-time estimation and control require fast and accurate models. However, prediction with first-principles (FP)…

机器人学 · 计算机科学 2025-11-19 Tim-Lukas Habich , Aran Mohammad , Simon F. G. Ehlers , Martin Bensch , Thomas Seel , Moritz Schappler

Accurate prediction of vehicle collision dynamics is crucial for advanced safety systems and post-impact control applications, yet existing methods face inherent trade-offs among computational efficiency, prediction accuracy, and data…

系统与控制 · 电气工程与系统科学 2025-10-16 Yangye Jiang , Jiachen Wang , Daofei Li
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