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Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can become challenging. In this work, we propose an isogeometric…

Numerical Analysis · Mathematics 2026-05-01 Guilherme Henrique Teixeira , Nepomuk Krenn , Peter Gangl , Benjamin Marussig

We demonstrate that recent advances in nanoscale thermal transport and temperature manipulation can be brought to bear on the problem of tailoring thermal radiation from compact emitters. We show that wavelength-scale composite bodies…

Mesoscale and Nanoscale Physics · Physics 2016-03-29 Weiliang Jin , Athanasios G. Polimeridis , Alejandro W. Rodriguez

In this work, we consider the problem of optimal design of an acoustic cloak under uncertainty and develop scalable approximation and optimization methods to solve this problem. The design variable is taken as an infinite-dimensional…

Optimization and Control · Mathematics 2021-03-17 Peng Chen , Michael R. Haberman , Omar Ghattas

We present a new algorithm to design lightweight cellular materials with required properties in a multi-physics context. In particular, we focus on a thermo-mechanical setting, by promoting the design of unit cells characterized both by an…

Computational Engineering, Finance, and Science · Computer Science 2022-02-21 Matteo Gavazzoni , Nicola Ferro , Simona Perotto , Stefano Foletti

Controlling large populations of thermostatically controlled loads (TCLs), such as water heaters, poses significant challenges due to the need to balance global constraints (e.g., grid stability) with individual requirements (e.g., physical…

Optimization and Control · Mathematics 2025-10-02 Thomas Le Corre , Julien Cardinal , Ana Bušić

A methodology is presented for bounding all higher moments of the local hydrostatic stress field inside random two phase linear thermoelastic media undergoing macroscopic thermomechanical loading. The method also provides a lower bound on…

Analysis of PDEs · Mathematics 2009-10-20 Yue Chen , Robert Lipton

Thermoelectric devices convert temperature gradients into electrical power and vice versa, thus enabling energy scavenging from waste heat, sensing and cooling. Yet, many of these attractive applications are hindered by the limited…

Materials Science · Physics 2019-02-14 Davide Donadio

De-homogenization is becoming an effective method to significantly expedite the design of high-resolution multiscale structures, but existing methods have thus far been confined to simple static compliance minimization. There are two…

Computational Engineering, Finance, and Science · Computer Science 2021-12-21 Liwei Wang , Zhao Liu , Daicong Da , Yu-Chin Chan , Wei Chen , Ping Zhu

This paper proposes a novel collocation-type numerical stochastic homogenization method for prototypical stochastic homogenization problems with random coefficient fields of small correlation lengths. The presented method is based on a…

Numerical Analysis · Mathematics 2024-11-05 Moritz Hauck , Hannah Mohr , Daniel Peterseim

The present work deals with the derivation of corrector estimates for the two-scale homogenization of a thermo-diffusion model with weak thermal coupling posed in a heterogeneous medium endowed with periodically arranged high-contrast…

Analysis of PDEs · Mathematics 2016-10-05 Adrian Muntean , Sina Reichelt

Thermal behavior has become a first-order constraint in advanced 2.5D/3D integrated circuits (ICs) and heterogeneous packages. As power densities rise and multiple active dies are vertically integrated, heat removal paths become…

Hardware Architecture · Computer Science 2026-04-07 Baibhari Priya Barua , Md Rahatul Islam Udoy , Ahmedullah Aziz

We consider the framework of convex high dimensional stochastic control problems, in which the controls are aggregated in the cost function. As first contribution, we introduce a modified problem, whose optimal control is under some…

Optimization and Control · Mathematics 2023-04-28 Adrien Séguret , Clémence Alasseur , J. Frédéric Bonnans , Antonio De Paola , Nadia Oudjane , Vincenzo Trovato

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 paper describes combinatorial synthesis approach with interval multset estimates of system elements for modeling, analysis, design, and improvement of a modular telemetry system. Morphological (modular) system design and improvement are…

Systems and Control · Computer Science 2012-07-26 Mark Sh. Levin

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

To create heterogeneous, multiscale structures with unprecedented functionalities, recent topology optimization approaches design either fully aperiodic systems or functionally graded structures, which compete in terms of design freedom and…

Computational Engineering, Finance, and Science · Computer Science 2022-04-05 Yu-Chin Chan , Daicong Da , Liwei Wang , Wei Chen

Accurate prediction of rock thermal conductivity under in-situ conditions is essential for characterizing subsurface heat flow. This study presents a numerical framework based on the Lattice Element Method (LEM) for simulating the effective…

Geophysics · Physics 2025-10-29 Nima Haghighat , Amir S. Sattari , Hem B. Motra , Frank Wuttke

This paper implements topology optimization on two-dimensional manifolds. In this paper, the material interpolation is implemented on a material parameter in the partial differential equation used to describe a physical field, when this…

Computational Physics · Physics 2020-04-22 Yongbo Deng , Zhenyu Liu , Jan G. Korvink

Homogenization of a simultaneous heat and moisture flow in a masonry wall is presented in this paper. The principle objective is to examine an impact of the assumed imperfect hydraulic contact on the resulting homogenized properties. Such a…

Computational Engineering, Finance, and Science · Computer Science 2014-02-14 Jan Sýkora , Michal Šejnoha , Jiří Šejnoha

Topology optimization of modular structures and mechanisms enables balancing the performance of automatically-generated individualized designs, as required by Industry 4.0, with enhanced sustainability by means of component reuse. For…

Materials Science · Physics 2022-05-25 Marek Tyburec , Martin Doškář , Jan Zeman , Martin Kružík
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