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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…

Machine Learning · Computer Science 2024-04-05 Zakaria Elabid , Daniel Busby , Abdenour Hadid

Heat exchangers (HEXs) play a central role in process industries for thermal energy transfer. Fouling, the gradual accumulation of solids on heat transfer surfaces, causes a time-varying decrease in the overall heat transfer coefficient…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Ramachandran Anantharaman , Carlos Gonzalez Rojas , Luna Artemis van Leeuwen , Leyla Özkan

In this research, the application of the Physics-Informed Neural Network (PINN) model is explored to solve transport equation-based Partial Differential Equations (PDEs). The primary objective is to analyze the impact of different…

Machine Learning · Computer Science 2023-12-04 Akshansh Mishra

In aerospace applications, multiple safety regulations were introduced to address associated with pyrolysis. Predictive modeling of pyrolysis is a challenging task since multiple thermo-chemo-mechanical laws need to be concurrently solved…

Soft Condensed Matter · Physics 2022-09-26 Aref Ghaderi , Ramin Akbari , Yang Chen , Roozbeh Dargazany

In the present work, single- and segregated-network PINN architectures are applied to predict momentum, species and temperature distributions of a dry air humidification problem in a simple 2D rectangular domain. The created PINN models…

Fluid Dynamics · Physics 2021-08-04 Ryno Laubscher

In this paper, we apply Physics Informed Neural Networks (PINNs) to infer velocity and pressure field from Light Attenuation Technique (LAT) measurements for gravity current induced by lock-exchange. In a PINN model, physical laws are…

The present study investigates the dynamics of nonlocal beams by establishing a consistent stress-driven integral elastic using the Physics-Informed Neural Network (PINN) approach. Specifically, a PINN is developed to compute the first…

Classical Physics · Physics 2026-01-16 Baidehi Das , Raffaele Barretta , Marko Čanađija

Multiscale elliptic equations with scale separation are often approximated by the corresponding homogenized equations with slowly varying homogenized coefficients (the G-limit). The traditional homogenization techniques typically rely on…

Numerical Analysis · Mathematics 2022-07-27 Jun Sur Richard Park , Xueyu Zhu

Due to the increasing system stability issues caused by the technological revolutions of power system equipment, the assessment of the dynamic security of the systems for changing operating conditions (OCs) is nowadays crucial. To address…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Haiwei Xie , Federica Bellizio , Jochen L. Cremer , Goran Strbac

Physics-informed neural networks (PINNs) are one popular approach to incorporate a priori knowledge about physical systems into the learning framework. PINNs are known to be robust for smaller training sets, derive better generalization…

Machine Learning · Computer Science 2024-06-19 Birgit Hillebrecht , Benjamin Unger

Recently, a class of machine learning methods called physics-informed neural networks (PINNs) has been proposed and gained prevalence in solving various scientific computing problems. This approach enables the solution of partial…

Computational Engineering, Finance, and Science · Computer Science 2023-11-06 Chen Xu , Ba Trung Cao , Yong Yuan , Günther Meschke

As an emerging technology in deep learning, physics-informed neural networks (PINNs) have been widely used to solve various partial differential equations (PDEs) in engineering. However, PDEs based on practical considerations contain…

Machine Learning · Computer Science 2021-11-11 Yuhao Huang

Physics-Informed Neural Networks (PINNs) serve as a flexible alternative for tackling forward and inverse problems in differential equations, displaying impressive advancements in diverse areas of applied mathematics. Despite integrating…

Fluid Dynamics · Physics 2024-07-12 Shengfeng Xu , Chang Yan , Zhenxu Sun , Renfang Huang , Dilong Guo , Guowei Yang

Solving heat transfer equations on chip becomes very critical in the upcoming 5G and AI chip-package-systems. However, batches of simulations have to be performed for data driven supervised machine learning models. Data driven methods are…

Machine Learning · Computer Science 2020-07-21 Haiyang He , Jay Pathak

We propose a novel machine learning algorithm for simulating radiative transfer. Our algorithm is based on physics informed neural networks (PINNs), which are trained by minimizing the residual of the underlying radiative tranfer equations.…

Machine Learning · Computer Science 2023-12-07 Siddhartha Mishra , Roberto Molinaro

Physics-informed neural networks (PINNs) are capable of finding the solution for a given boundary value problem. We employ several ideas from the finite element method (FEM) to enhance the performance of existing PINNs in engineering…

Computational Engineering, Finance, and Science · Computer Science 2022-10-05 Shahed Rezaei , Ali Harandi , Ahmad Moeineddin , Bai-Xiang Xu , Stefanie Reese

The identification of material parameters occurring in constitutive models has a wide range of applications in practice. One of these applications is the monitoring and assessment of the actual condition of infrastructure buildings, as the…

Machine Learning · Computer Science 2023-06-14 David Anton , Henning Wessels

Climate models project an uncertainty range of possible warming scenarios from 1.5 to 5 degree Celsius global temperature increase until 2100, according to the CMIP6 model ensemble. Climate risk management and infrastructure adaptation…

Machine Learning · Computer Science 2021-05-10 Björn Lütjens , Catherine H. Crawford , Mark Veillette , Dava Newman

Time-domain simulations are crucial for ensuring power system stability and avoiding critical scenarios that could lead to blackouts. The next-generation power systems require a significant increase in the computational cost and complexity…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Ignasi Ventura Nadal , Jochen Stiasny , Spyros Chatzivasileiadis

Physics informed neural networks (PINNs) represent a very popular class of neural solvers for partial differential equations. In practice, one often employs stochastic gradient descent type algorithms to train the neural network. Therefore,…

Machine Learning · Computer Science 2025-09-01 Bangti Jin , Longjun Wu