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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,…

Fluid Dynamics · Physics 2021-05-21 Shengze Cai , Zhiping Mao , Zhicheng Wang , Minglang Yin , George Em Karniadakis

Accurate characterization of subsurface heterogeneity is challenging but essential for applications such as reservoir pressure management, geothermal energy extraction and CO$_2$, H$_2$, and wastewater injection operations. This challenge…

Machine Learning · Computer Science 2026-04-16 Harun Ur Rashid , Mingxin Li , Aleksandra Pachalieva , Georg Stadler , Daniel O'Malley

Concrete manufacturing projects are one of the most common ones for consulting agencies. Because of the highly non-linear dependency of input materials like ash, water, cement, superplastic, etc; with the resultant strength of concrete, it…

Machine Learning · Computer Science 2024-08-31 Sam Varghese , Rahul Anand , Gaurav Paliwal

In light of growing threats posed by climate change in general and sea level rise (SLR) in particular, the necessity for computationally efficient means to estimate and analyze potential coastal flood hazards has become increasingly…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Areg Karapetyan , Aaron Chung Hin Chow , Samer Madanat

This study introduces a computational approach leveraging Physics-Informed Neural Networks (PINNs) for the efficient computation of arterial blood flows, particularly focusing on solving the incompressible Navier-Stokes equations by using…

Numerical Analysis · Mathematics 2024-04-29 Shivam Bhargava , Nagaiah Chamakuri

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Emerging technologies like hypersonic aircraft, space exploration vehicles, and batteries avail fluid circulation in embedded microvasculatures for efficient thermal regulation. Modeling is vital during these engineered systems' design and…

Numerical Analysis · Mathematics 2023-05-16 N. V. Jagtap , M. K. Mudunuru , K. B. Nakshatrala

The growing computational demands of artificial intelligence (AI) in addressing climate change raise significant concerns about inefficiencies and environmental impact, as highlighted by the Jevons paradox. We propose an attention-enhanced…

Quantum Physics · Physics 2024-09-04 Siddhant Dutta , Nouhaila Innan , Sadok Ben Yahia , Muhammad Shafique

Physics-Informed Neural Networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs). PINNs are based on simple architectures, and learn the behavior of complex…

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

Computational Physics · Physics 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

Surrogate modeling is used to replace computationally expensive simulations. Neural networks have been widely applied as surrogate models that enable efficient evaluations over complex physical systems. Despite this, neural networks are…

Machine Learning · Computer Science 2024-02-13 Hao Chen , Gonzalo E. Constante Flores , Can Li

The simulation of power system dynamics poses a computationally expensive task. Considering the growing uncertainty of generation and demand patterns, thousands of scenarios need to be continuously assessed to ensure the safety of power…

Systems and Control · Electrical Eng. & Systems 2023-11-13 Jochen Stiasny , Spyros Chatzivasileiadis

Physics-Informed Neural Networks (PINNs) have emerged as an influential technology, merging the swift and automated capabilities of machine learning with the precision and dependability of simulations grounded in theoretical physics. PINNs…

Flood mapping is crucial for assessing and mitigating flood impacts, yet traditional methods like numerical modeling and aerial photography face limitations in efficiency and reliability. To address these challenges, we propose PIFF, a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 ChunLiang Wu , Tsunhua Yang , Hungying Chen

Seismic wave forward and inverse modeling are fundamental tools for subsurface imaging and geological hazard assessment. Conventional grid-based numerical methods, such as finite-difference and finite-element approaches, often require dense…

Geophysics · Physics 2026-01-23 Chaohua Liang , Xingliang Peng , Jun Matsushima

Modern power systems face significant challenges in state estimation and real-time monitoring, particularly regarding response speed and accuracy under faulty conditions or cyber-attacks. This paper proposes a hybrid approach using…

Machine Learning · Computer Science 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

We develop improved physics-informed neural networks (PINNs) for high-order and high-dimensional power system models described by nonlinear ordinary differential equations. We propose some novel enhancements to improve PINN training and…

Machine Learning · Computer Science 2024-10-11 Vineet Jagadeesan Nair

For Prognostics and Health Management (PHM) of Lithium-ion (Li-ion) batteries, many models have been established to characterize their degradation process. The existing empirical or physical models can reveal important information regarding…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Pengfei Wen , Zhi-Sheng Ye , Yong Li , Shaowei Chen , Pu Xie , Shuai Zhao

Estimating the material distribution of Earth's subsurface is a challenging task in seismology and earthquake engineering. The recent development of physics-informed neural network (PINN) has shed new light on seismic inversion. In this…

Geophysics · Physics 2023-05-10 Pu Ren , Chengping Rao , Hao Sun , Yang Liu

Many real-world problems can be formalized as predicting links in a partially observed network. Examples include Facebook friendship suggestions, consumer-product recommendations, and the identification of hidden interactions between actors…

Machine Learning · Computer Science 2020-02-05 Xi Chen , Bo Kang , Jefrey Lijffijt , Tijl De Bie