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In this study, the capabilities of the Physics-Informed Neural Network (PINN) method are investigated for three major tasks: modeling, simulation, and optimization in the context of the heat conduction problem. In the modeling phase, the…

Computational Physics · Physics 2025-10-31 Ehsan Ghaderi , Mohamad Ali Bijarchi , Siamak Kazemzadeh Hannani , Ali Nouri Boroujerdi

Modern real-time systems utilize considerable amounts of power while executing computation-intensive tasks. The execution of these tasks leads to significant power dissipation and heating of the device. It therefore results in severe…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Anthony Dowling , Lin Jiang , Ming-Cheng Cheng , Yu Liu

A parametric reduced order model based on proper orthogonal decomposition with Galerkin projection has been developed and applied for the modeling of heat transport in T-junction pipes which are widely found in nuclear power plants. Thermal…

Computational Physics · Physics 2019-01-29 Sokratia Georgaka , Giovanni Stabile , Gianluigi Rozza , Michael J Bluck

Heterogeneous processors with architecturally different cores (CPU and GPU) integrated on the same die lead to new challenges and opportunities for thermal and power management techniques because of shared thermal/power budgets between…

Hardware Architecture · Computer Science 2018-08-30 Kapil Dev , Indrani Paul , Wei Huang , Yasuko Eckert , Wayne Burleson , Sherief Reda

Ultra-fast electronic phenomena originating from finite temperature, such as nonlinear optical excitation, can be simulated with high fidelity via real-time time dependent density functional theory (rt-TDDFT) calculations with hybrid…

Materials Science · Physics 2025-01-07 Rongrong Liu , Zhuoqiang Guo , Qiuchen Sha , Tong Zhao , Haibo Li , Wei Hu , Lijun Liu , Guangming Tan , Weile Jia

Thermal analysis is increasingly critical in modern integrated circuits, where non-uniform power dissipation and high transistor densities can cause rapid temperature spikes and reliability concerns. Traditional methods, such as FEM-based…

Machine Learning · Computer Science 2026-05-05 Soumyadeep Chandra , Sayeed Shafayet Chowdhury , Kaushik Roy

Physics-informed neural networks (PINNs) have successfully addressed various computational physics problems based on partial differential equations (PDEs). However, while tackling issues related to irregularities like singularities and…

Machine Learning · Computer Science 2024-11-25 Hang Hu , Sidi Wu , Guoxiong Cai , Na Liu

Estimating the temperature field of a building envelope could be a time-consuming task. The use of a reduced-order method is then proposed: the Proper Generalized Decomposition method. The solution of the transient heat equation is then…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Marie-Hélène Azam , Julien Berger , Sihem Guernouti , Philippe Poullain , Marjorie Musy

Three kinds of Fragile Points Methods based on Petrov-Galerkin weak-forms (PG-FPMs) are proposed for analyzing heat conduction problems in nonhomogeneous anisotropic media. This is a follow-up of the previous study on the original FPM based…

Numerical Analysis · Mathematics 2021-01-27 Yue Guan , Satya N. Atluri

This contribution focuses on the development of Model Order Reduction (MOR) for one-way coupled steady state linear thermomechanical problems in a finite element setting. We apply Proper Orthogonal Decomposition (POD) for the computation of…

A previously developed quantum reduced-order model is revised and applied, together with the domain decomposition, to develop the quantum element method (QEM), a methodology for fast and accurate simulation of quantum eigenvalue problems.…

Computational Physics · Physics 2023-04-18 Ming-C. Cheng

Reducing the computational time required by high-fidelity, full order models (FOMs) for the solution of problems in cardiac mechanics is crucial to allow the translation of patient-specific simulations into clinical practice. While FOMs,…

Numerical Analysis · Mathematics 2022-02-09 Ludovica Cicci , Stefania Fresca , Andrea Manzoni , Alfio Quarteroni

With the popularity of electric vehicles, the demand for lithium-ion batteries is increasing. Temperature significantly influences the performance and safety of batteries. Battery thermal management systems can effectively control the…

Machine Learning · Computer Science 2026-01-07 Zheng Liu , Yuan Jiang , Yumeng Li , Pingfeng Wang

The increasing scale and wealth of inter-connected data, such as those accrued by social network applications, demand the design of new techniques and platforms to efficiently derive actionable knowledge from large-scale graphs. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-08 Abdullah Gharaibeh , Tahsin Reza , Elizeu Santos-Neto , Lauro Beltrao Costa , Scott Sallinen , Matei Ripeanu

In this paper, a hybrid quasi-static atomistic simulation method at finite temperature is developed, which combines the advantages of MD for thermal equilibrium and atomic-scale finite element method (AFEM) for efficient equilibration. Some…

Atomic Physics · Physics 2015-06-17 Ran Xu , Bin Liu

A physics-informed neural network is developed to solve conductive heat transfer partial differential equation (PDE), along with convective heat transfer PDEs as boundary conditions (BCs), in manufacturing and engineering applications where…

Machine Learning · Computer Science 2021-03-29 Navid Zobeiry , Keith D. Humfeld

A thermal simulation methodology is developed for interconnects enabled by a data-driven learning algorithm accounting for variations of material properties, heat sources and boundary conditions (BCs). The methodology is based on the…

Materials Science · Physics 2023-04-18 Wangkun Jia , Ming-C. Cheng

The Fourier-Galerkin method (in short FFTH) has gained popularity in numerical homogenisation because it can treat problems with a huge number of degrees of freedom. Because the method incorporates the fast Fourier transform (FFT) in the…

Numerical Analysis · Mathematics 2020-02-14 Jaroslav Vondřejc , Tom W. J. de Geus

Cardiac electrophysiology (CEP) simulations are increasingly used for understanding cardiac arrhythmias and guiding clinical decisions. However, these simulations typically require high-performance computing resources with numerous CPU…

Software Engineering · Computer Science 2025-10-15 Bei Zhou , Maximilian Balmus , Cesare Corrado , Ludovica Cicci , Shuang Qian , Steven A. Niederer

The cryosphere plays a significant role in Earth's climate system. Therefore, an accurate simulation of sea ice is of great importance to improve climate projections. To enable higher resolution simulations, graphics processing units (GPUs)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-29 Robert Jendersie , Christian Lessig , Thomas Richter