English
Related papers

Related papers: Optimization Method in 2D Thermal Cloaking Problem…

200 papers

Acoustic metamaterials are engineered microstructures with special mechanical and acoustic properties enabling exotic effects such as wave steering, focusing and cloaking. The design of acoustic cloaks using scattering cancellation has…

Disordered Systems and Neural Networks · Physics 2022-11-15 Thang Tran , Feruza Amirkulova , Ehsan Khatami

This paper examines a variety of classical optimization problems, including well-known minimization tasks and more general variational inequalities. We consider a stochastic formulation of these problems, and unlike most previous work, we…

Optimization and Control · Mathematics 2025-11-11 Vladimir Solodkin , Andrew Veprikov , Aleksandr Beznosikov

An inverse way to define the parameters of ideal cylindrical cloaks is developed, in which the interconnection between the parameters is revealed for the first time without knowing a specific coordinate transformation. The required…

Optics · Physics 2009-07-03 Cheng-Wei Qiu , Andrey Novitsky

The concept of superscattering is extended to the thermal field through the design of a thermal superscatterer based on transformation thermodynamics. A small thermal scatterer of arbitrary shape and conductivity is encapsulated with an…

We analyze, both analytically and numerically, the effectiveness of cloaking an infinite cylinder from observations by electromagnetic waves in three dimensions. We show that, as truncated approximations of the ideal permittivity and…

Optics · Physics 2009-11-13 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

The cryopreservation of biological materials is a highly complex process, as it involves numerous factors such as the cooling and thawing procedures, the administration of cryoprotective agents (CPAs), as well as the type and composition of…

Other Quantitative Biology · Quantitative Biology 2025-12-25 Jack Lee Jennings , Sanja Bojic , Lukas Breitwieser , Alex Sharpe , Roman Bauer

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 consider a project that consists of activities to be performed in parallel under various temporal constraints, which include start-start, start-finish and finish-start precedence relationships, release times, deadlines, and due dates.…

Optimization and Control · Mathematics 2016-12-23 N. Krivulin

Block-sparse regularization is already well-known in active thermal imaging and is used for multiple measurement based inverse problems. The main bottleneck of this method is the choice of regularization parameters which differs for each…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Samim Ahmadi , Jan Christian Hauffen , Linh Kästner , Peter Jung , Giuseppe Caire , Mathias Ziegler

This paper proposes a level set-based method for optimizing shell structures with large design changes in shape and topology. Conventional shell optimization methods, whether parametric or nonparametric, often only allow limited design…

Computational Engineering, Finance, and Science · Computer Science 2024-08-29 Hiroki Kobayashi , Katsuya Nomura , Yuqing Zhou , Masato Tanaka , Atsushi Kawamoto , Tsuyoshi Nomura

Inspired by the unique design of the shells of snails inhabiting the deep-sea hydrothermal environment, here we theoretically study the temperature response of a bilayer to an external thermal impulse. A semi-analytical solution to the…

Applied Physics · Physics 2021-04-15 Anran Wei , Haimin Yao

This paper extends the nonsmooth Relaxed Variational Approach (RVA) to topology optimization, proposed by the authors in a preceding work, to the solution of thermal optimization problems. First, the RVA topology optimization method is…

Computational Engineering, Finance, and Science · Computer Science 2021-08-11 Daniel Yago , Juan Cante , Oriol Lloberas-Valls , Javier Oliver

In this paper, we study the stochastic convergence of regularized solutions for backward heat conduction problems. These problems are recognized as ill-posed due to the exponential decay of eigenvalues associated with the forward problems.…

Numerical Analysis · Mathematics 2023-11-08 Zhongjian Wang , Wenlong Zhang , Zhiwen Zhang

This study develops a novel multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains. Firstly, the second-order two-scale (SOTS) solutions for these…

Numerical Analysis · Mathematics 2017-12-08 Hao Dong , Junzhi Cui , Yufeng Nie , Zihao Yang

There has been a growing interest in controlled heat flux manipulation to increase the efficiency of thermal apparatus. Heat manipulators control and manipulate heat flow. A key to the effective performance of these heat manipulators is…

Computational Engineering, Finance, and Science · Computer Science 2022-05-19 Chintan Jansari , Stéphane P. A. Bordas , Elena Atroshchenko

Simultaneously manipulating multiple physical fields plays an important role in the increasingly complex integrated systems, aerospace equipment, biochemical productions, etc. For on-chip systems with high integration level (e.g.,…

Applied Physics · Physics 2024-05-01 Yichao Liu , Xiaomin Ma , Kun Chao , Fei Sun , Zihao Chen , Jinyuan Shan , Hanchuan Chen , Gang Zhao , Shaojie Chen

We show that dielectric spheres can be cloaked by a shell of amorphously arranged metallic nanoparticles. The shell represents an artificial medium with tunable effective properties that can be adjusted such that the scattered signals of…

Other Condensed Matter · Physics 2012-06-15 Stefan Muhlig , Mohamed Farhat , Carsten Rockstuhl , Falk Lederer

Complex non-local behavior makes designing high efficiency and multifunctional metasurfaces a significant challenge. While using libraries of meta-atoms provide a simple and fast implementation methodology, pillar to pillar interaction…

Solutions to optimal control problems can be discontinuous, even if all the functionals defining the problem are smooth. This can cause difficulties when numerically computing solutions to these problems. While conventional numerical…

Optimization and Control · Mathematics 2022-11-21 Lucian Nita , Eric C. Kerrigan , Eduardo M. G. Vila , Yuanbo Nie

This paper proposes a higher-order multiscale computational method for nonlinear thermo-electric coupling problems of composite structures, which possess temperature-dependent material properties and nonlinear Joule heating. The innovative…

Numerical Analysis · Mathematics 2025-01-24 Hao Dong , Zongze Yang , Yufeng Nie