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We consider multidimensional optimization problems, which are formulated and solved in terms of tropical mathematics. The problems are to minimize (maximize) a linear or nonlinear function defined on vectors over an idempotent semifield,…

Optimization and Control · Mathematics 2024-01-18 N. Krivulin

Simultaneously guiding electromagnetic waves and heat flow at any incidence angle to smoothly bypass some electromagnetic/thermal sensitive elements is a key factor to ensure efficient communication and thermal protection for an on-chip…

Applied Physics · Physics 2024-06-26 Yichao Liu , Hanchuan Chen , Gang Zhao , Fei Sun

Spatial light modulators are widely used to perform modulations of different properties of the electromagnetic field. In this work, a simple optimization method for general double-pass setups was developed. It takes into account the…

Optics · Physics 2022-02-09 Sebastián Bordakevich , Lorena Rebón , Silvia Ledesma

Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

Artificial Intelligence · Computer Science 2014-07-24 Deepak Kumar , A G Ramakrishnan

The optimization of cooling systems is important in many cases, for example for cabin and battery cooling in electric cars. Such an optimization is governed by multiple, conflicting objectives and it is performed across a multi-dimensional…

Human-Computer Interaction · Computer Science 2025-07-25 Rainer Splechtna , Majid Behravan , Mario Jelovic , Denis Gracanin , Helwig Hauser , Kresimir Matkovic

Efficiently enhancing heat conduction through optimized distribution of a limited quantity of high thermal conductivity material is paramount in cooling electronic devices and numerous other applications. This paper introduces a…

Computational Engineering, Finance, and Science · Computer Science 2024-05-24 Bo Zhang , Chi Zhang , Xiangyu Hu

With the increasing power density of electronics components, the heat dissipation capacity of heat sinks gradually becomes a bottleneck. Many structural optimization methods, including topology optimization, have been widely used for heat…

Fluid Dynamics · Physics 2021-10-07 Tao Zeng , Hu Wang , Mengzhu Yang , Joe Alexandersen

Recently, the polarimetricmethod for thermally-induced polarization changes driven power losses (TIPCL) mitigation in complex laser systems has been developed. However, the final optimization relied on the four-parameter numerical process.…

Particle swam optimization (PSO) is a popular stochastic optimization method that has found wide applications in diverse fields. However, PSO suffers from high computational complexity and slow convergence speed. High computational…

Neural and Evolutionary Computing · Computer Science 2014-01-06 Muhammad Saqib Sohail , Muhammad Omer Bin Saeed , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

To tackle the difficulties faced by both stochastic dynamic programming and scenario tree methods, we present some variational approach for numerical solution of stochastic optimal control problems. We consider two different interpretations…

Optimization and Control · Mathematics 2009-07-28 Pierre Carpentier , Guy Cohen , Anes Dallagi

This paper demonstrates the application of the density-based topology optimisation approach for the design of heat sinks and micropumps based on natural convection effects. The problems are modelled under the assumptions of steady-state…

Fluid Dynamics · Physics 2015-08-19 Joe Alexandersen , Niels Aage , Casper Schousboe Andreasen , Ole Sigmund

Multi-objective parametric optimization problem is presented for overwrapped composite pressure vessels under internal pressure for storage and heating water. It is solved using the developed iterative optimization algorithm. Optimal values…

Optimization and Control · Mathematics 2024-10-08 Lyudmyla Rozova , Bilal Meemary , Salim Chaki , Mylène Deléglise-Lagardère , Dmytro Vasiukov

This paper studies the electrostatic responses of a polarly radially anisotropic cylinder and a spherically radially anisotropic sphere. For both geometries, the permittivity components differ from each other in the radial and tangential…

Classical Physics · Physics 2013-08-06 Henrik Kettunen , Henrik Wallén , Ari Sihvola

In this paper, we address energy management for heating, ventilation, and air-conditioning (HVAC) systems in buildings, and present a novel combined optimization and control approach. We first formulate a thermal dynamics and an associated…

Systems and Control · Computer Science 2017-01-23 Takeshi Hatanaka , Xuan Zhang , Wenbo Shi , Minghui Zhu , Na Li

An optimization algorithm is presented which consists of cyclically heating and quenching by Metropolis and local search procedures, respectively. It works particularly well when it is applied to an archive of samples instead of to a single…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Mobius , A. Neklioudov , A. Diaz-Sanchez , K. H. Hoffmann , A. Fachat , M. Schreiber

We consider transformation-optics based cloaking in acoustic and electromagnetic scattering. The blueprints for an ideal cloak use singular acoustic and electromagnetic materials, posing server difficulties to both theoretical analysis and…

Analysis of PDEs · Mathematics 2014-09-03 Hongyu Liu , Gunther Uhlmann

Developing high power density electronics requires effective and highly reliable cooling techniques with low thermal resistance and high heat removal capacity. Loop heat pipes (LHPs) are one kind of two-phase heat transfer device which can…

Fluid Dynamics · Physics 2025-09-03 Xu Huang , Geert Buckinx , Maria Rosaria Vetrano , Martine Baelmans

The work describes the maximization problem regarding heating of an area on the surface of a thin plate within a given temperature range. The solution of the problem is applied to ion injectors. The given temperature range corresponds to a…

Computational Physics · Physics 2016-03-07 A. Ayriyan , E. E. Donets , H. Grigorian , N. Kolkovska , A. Lebedev

Based on the concept of the cloak generating function, we propose a numerical method to compute the invisibility performance of various quadratic spherical cloaks and obtain optimal invisibility results. A non-ideal discrete model is used…

Optics · Physics 2010-01-13 Andrey Novitsky , Cheng-Wei Qiu

In this paper we consider a minimization problem which arises from thermal insulation. A compact connected set $K$, which represents a conductor of constant temperature, say $1$, is thermally insulated by surrounding it with a layer of…

Analysis of PDEs · Mathematics 2021-05-31 Francesco Della Pietra , Carlo Nitsch , Cristina Trombetti