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Separating liquid-liquid dispersions in gravity settlers is critical in chemical, pharmaceutical, and recycling processes. The dense-packed zone height is an important performance and safety indicator but it is often expensive and…

Machine Learning · Computer Science 2026-04-28 Mehmet Velioglu , Song Zhai , Alexander Mitsos , Adel Mhamdi , Andreas Jupke , Manuel Dahmen

For multilayer materials in thin substrate systems, interfacial failure is one of the most challenges. The traction-separation relations (TSR) quantitatively describe the mechanical behavior of a material interface undergoing openings,…

Computational Engineering, Finance, and Science · Computer Science 2020-12-01 Jiaxin Zhang , Congjie Wei , Chenglin Wu

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

Steady-state electrothermal systems involve strongly coupled heat transfer, fluid flow, and electric-potential transport, creating severe numerical challenges for standard physics-informed neural networks (PINNs) due to stark disparities in…

Computational Physics · Physics 2026-04-17 Yuqing Zhou , Ze Tao , Hanxuan Wang , Fujun Liu

Reconstructing a thermal model capable of efficiently simulating the behavior of a spacecraft from sparse and localized temperature measurements remains a challenging task. To address this, we introduce a physically-constrained calibration…

Numerical Analysis · Mathematics 2026-05-28 Luca Sosta , Carlo Ciancarelli , Leonardo Marini , Stefano Pagani , Francesco Regazzoni , Nicola Parolini

Physics informed neural networks (PINNs) have drawn attention in recent years in engineering problems due to their effectiveness and ability to tackle the problems without generating complex meshes. PINNs use automatic differentiation to…

Fluid Dynamics · Physics 2022-06-20 Atakan Aygun , Ali Karakus

Accurate thermal modeling in metal additive manufacturing (AM) is essential for understanding the process-structure-performance relationship. While prior studies have explored generalization across unseen process conditions, they often…

Machine Learning · Computer Science 2026-04-17 Hyeonsu Lee , Jihoon Jeong

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving PDEs, yet existing uncertainty quantification (UQ) approaches for PINNs generally lack rigorous statistical guarantees. In this work, we bridge this…

Machine Learning · Computer Science 2025-09-18 Yifan Yu , Cheuk Hin Ho , Yangshuai Wang

This paper addresses the challenge of transient stability in power systems with missing parameters and uncertainty propagation in swing equations. We introduce a novel application of Physics-Informed Neural Networks (PINNs), specifically an…

Artificial Intelligence · Computer Science 2023-11-23 Ren Wang , Ming Zhong , Kaidi Xu , Lola Giráldez Sánchez-Cortés , Ignacio de Cominges Guerra

Physics-Informed Neural Networks (PINNs) frequently encounter difficulties in accurately resolving shock waves within high-speed compressible flows, a failure largely attributed to the "gradient pathology" arising from extreme stiffness at…

Computational Physics · Physics 2026-05-25 Darui Zhao , Ze Tao , Fujun Liu

Physics-informed neural networks (PINNs) constitute a flexible approach to both finding solutions and identifying parameters of partial differential equations. Most works on the topic assume noiseless data, or data contaminated with weak…

Machine Learning · Statistics 2024-06-21 Philipp Pilar , Niklas Wahlström

Accurately and efficiently solving nonlinear differential equations is crucial for modeling dynamic behavior across science and engineering. Physics-Informed Neural Networks (PINNs) have emerged as a powerful solution that embeds physical…

Machine Learning · Computer Science 2026-01-21 Duarte Alexandrino , Ben Moseley , Pavlos Protopapas

Physics-informed neural networks (PINNs) and their variants have been very popular in recent years as algorithms for the numerical simulation of both forward and inverse problems for partial differential equations. This article aims to…

Numerical Analysis · Mathematics 2024-11-20 Tim De Ryck , Siddhartha Mishra

The main focus of this paper is to analyze the behavior of a numerical solution of the Timoshenko system coupled with Thermoelasticity and incorporating second sound effects. In order to address this target, we employ the Physics-Informed…

Numerical Analysis · Mathematics 2024-09-25 Sabrine Chebbi , Joseph Muthui Wacira , Makram Hamouda , Bubacarr Bah

Reliable spacecraft attitude control depends on accurate prediction of attitude dynamics, particularly when model-based strategies such as Model Predictive Control (MPC) are employed, where performance is limited by the quality of the…

Robotics · Computer Science 2026-02-19 Carlo Cena , Mauro Martini , Marcello Chiaberge

Temperature field inversion of heat-source systems (TFI-HSS) with limited observations is essential to monitor the system health. Although some methods such as interpolation have been proposed to solve TFI-HSS, those existing methods ignore…

Machine Learning · Computer Science 2022-06-14 Xu Liu , Wei Peng , Zhiqiang Gong , Weien Zhou , Wen Yao

Physics-informed Neural Networks (PINNs) is a method for numerical simulation that incorporates a loss function corresponding to the governing equations into a neural network. While PINNs have been explored for their utility in inverse…

Sound · Computer Science 2024-06-18 Kazuya Yokota , Masataka Ogura , Masajiro Abe

Our work aims at simulating and predicting the temperature conditions inside a power transformer using Physics-Informed Neural Networks (PINNs). The predictions obtained are then used to determine the optimal placement for temperature…

Machine Learning · Computer Science 2025-02-04 Sirui Li , Federica Bragone , Matthieu Barreau , Tor Laneryd , Kateryna Morozovska

Physics-Informed Neural Networks (PINNs) have recently been proposed to solve scientific and engineering problems, where physical laws are introduced into neural networks as prior knowledge. With the embedded physical laws, PINNs enable the…

Machine Learning · Computer Science 2022-12-09 Xinle Wu , Dalin Zhang , Miao Zhang , Chenjuan Guo , Shuai Zhao , Yi Zhang , Huai Wang , Bin Yang

Physics-informed neural networks (PINNs) incorporate physical laws into their training to efficiently solve partial differential equations (PDEs) with minimal data. However, PINNs fail to guarantee adherence to conservation laws, which are…

Machine Learning · Computer Science 2024-10-24 Anthony Baez , Wang Zhang , Ziwen Ma , Subhro Das , Lam M. Nguyen , Luca Daniel