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Simulation in media with multiple continua where each continuum interacts with every other is often challenging due to multiple scales and high contrast. One needs some types of model reduction. One of the approaches is multi-continuum…

Numerical Analysis · Mathematics 2019-06-12 Jun Sur Richard Park , Viet Ha Hoang

Particle beds are widely used in various systems and processes, such as particle heat exchangers, granular flow reactors, and additive manufacturing. Accurate modeling of thermal conductivity of particle beds and understanding of their heat…

Materials Science · Physics 2021-11-10 Jian Zeng , Ka Man Chung , Xintong Zhang , Sarath Adapa , Tianshi Feng , Yu Pei , Renkun Chen

Microfluidic cooling has been recognized as one of the most promising solutions to achieve efficient thermal management for three-dimensional integrated circuits (3DICs). It enables more opportunities to architect 3DICs with different die…

Hardware Architecture · Computer Science 2024-04-01 Runxi Wang , Jun-Han Han , Mircea Stan , Xinfei Guo

In this paper, a multilayer thermal infrared detector model has been achieved by finite element method (FEM). All contributions of the thermal conductance were taken into account and calculated. In order to maximize the detector response,…

Applied Physics · Physics 2017-12-08 P. Ramos , A. Andrés , A. López , A. Manzanares

Advancement in manufacturing methods enable designing so called metamaterials with a tailor-made microstructure. Microstructure affects materials response within a length-scale, where we model this behavior by using the generalized…

Computational Engineering, Finance, and Science · Computer Science 2022-12-02 Bozo Vazic , Bilen Emek Abali , Pania Newell

Topologically interlocking architectures can generate tough ceramics with attractive thermo-mechanical properties. This concept can make the material design pathway a challenging task, since modeling the whole design space is neither…

Computational Engineering, Finance, and Science · Computer Science 2023-05-22 Elham Kiyani , Hamidreza Yazdani Sarvestani , Hossein Ravanbakhsh , Razyeh Behbahani , Behnam Ashrafi , Meysam Rahmat , Mikko Karttunen

Self-heating in next-generation, high-power-density field-effect transistor limits performance and complicates fabrication. Here, we introduce NEP-FET, a machine-learned framework for device-scale heat transport simulations of field-effect…

Materials Science · Physics 2025-11-26 Ke Xu , Gang Wang , Ting Liang , Yang Xiao , Dongliang Ding , Haichang Guo , Xiang Gao , Lei Tong , Xi Wan , Gang Zhang , Jianbin Xu

In this paper, we present a finite element method (FEM) framework enhanced by an operator-adapted wavelet decomposition algorithm designed for the efficient analysis of multiscale electromagnetic problems. Usual adaptive FEM approaches,…

Computational Physics · Physics 2026-02-18 F. Şık , F. L. Teixeira , B. Shanker

To resolve the rising temperatures in 3.5D-ICs, a thermal-aware design flow becomes increasingly crucial, necessitating an accurate and efficient thermal simulation tool. However, previous tools struggle to handle the unique heterogeneous…

Applied Physics · Physics 2026-01-19 Qipan Wang , Tianxiang Zhu , Yibo Lin , Runsheng Wang , Ru Huang

With the increasing prevalence of chiplet systems in high-performance computing applications, the number of design options has increased dramatically. Instead of chips defaulting to a single die design, now there are options for 2.5D and 3D…

Hardware Architecture · Computer Science 2025-03-21 Alexander Graening , Jonti Talukdar , Saptadeep Pal , Krishnendu Chakrabarty , Puneet Gupta

The oversampling multiscale finite element method (MsFEM) is one of the most popular methods for simulating composite materials and flows in porous media which may have many scales. But the method may be inapplicable or inefficient in some…

Numerical Analysis · Mathematics 2012-11-16 Weibing Deng , Haijun Wu

For beyond 2-D CMOS logic, various 3-D integration approaches specially transistor based 3-D integrations such as monolithic 3-D [1], Skybridge [2], SN3D [3] holds most promise. However, such 3D architectures within small form factor…

Emerging Technologies · Computer Science 2018-03-13 Md Arif Iqbal , Naveen Kumar Macha , Wafi Danesh , Sehtab Hossain , Mostafizur Rahman

Thermal issue is a major concern in 3D integrated circuit (IC) design. Thermal optimization of 3D IC often requires massive expensive PDE simulations. Neural network-based thermal prediction models can perform real-time prediction for many…

Machine Learning · Computer Science 2023-02-28 Ziyue Liu , Yixing Li , Jing Hu , Xinling Yu , Shinyu Shiau , Xin Ai , Zhiyu Zeng , Zheng Zhang

3D integration offers key advantages in improving system performance and efficiency for the End-of-Scaling era. It enables the incorporation of heterogeneous system components and disparate technologies, eliminates off-chip communication…

Emerging Technologies · Computer Science 2024-09-18 Eren Kurshan , Paul Franzon

Coupled multiphysics simulations for high-dimensional, large-scale problems can be prohibitively expensive due to their computational demands. This article presents a novel framework integrating a deep operator network (DeepONet) with the…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Fouad M. Amin , Diab W. Abueidda , Panos Pantidis , Mostafa E. Mobasher

Nonlinear thermoelastic systems play a crucial role in understanding thermal conductivity, stresses, elasticity, and temperature interactions. This research focuses on finding solutions to these systems in their fractional forms, which is a…

Analysis of PDEs · Mathematics 2025-01-13 Qasim Khan

The Heterogeneous Multiscale Finite Element Method (FE-HMM) is a two-scale FEM based on asymptotic homogenization for solving multiscale partial differential equations. It was introduced in [W. E and B. Engquist, \emph{Commun. Math. Sci.},…

Numerical Analysis · Mathematics 2017-11-22 Bernhard Eidel , Andreas Fischer

The development of thermal stresses inside refractory ceramics experiencing severe thermal shock is studied. The present analysis departs from the linear theory of thermal stresses as it accounts for temperature dependent thermal and…

Materials Science · Physics 2015-12-02 Theodosios K. Papathanasiou , Francesco Dal Corso , Andrea Piccolroaz

Microstructural heterogeneity affects the macro-scale behavior of materials. Conversely, load distribution at the macro-scale changes the microstructural response. These up-scaling and down-scaling relations are often modeled using…

Materials Science · Physics 2023-06-13 Ashwini Gupta , Anindya Bhaduri , Lori Graham-Brady

In this paper, we focus on multi-scale modeling and simulation of piezoelectric composite materials. A multi-scale model for piezoelectric composite materials under the framework of Heterogeneous Multi-scale Method(HMM) is proposed. For…

Mathematical Physics · Physics 2014-02-18 Qian Zhang , Xingye Yue