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Topology optimization (TO) can be viewed as seeking an optimal solution in the design space of a given TO problem. For weakly non-linear TO problems, e.g., compliance minimization, sensitivity-based methods typically converge well, whereas…

Optimization and Control · Mathematics 2026-03-25 Ziliang Wang , Jiahua Wu , Jun Yang , Shintaro Yamasaki

This study presents the design, simulation, and experimental validation of a novel multimodal concentric surface coil for MR imaging, developed to achieve higher B1 field efficiency while maintaining low SAR for enhanced imaging…

Medical Physics · Physics 2025-08-21 Yunkun Zhao , Aditya A Bhosale , Xiaoliang Zhang

We present an explicit theoretical framework for constructing artificial modular coils based solely on equilibrium properties, achieved through the formulation of a current potential defined on flux surfaces. We demonstrate that key…

Plasma Physics · Physics 2026-04-15 Eduardo Rodriguez , Wrick Sengupta

A shape optimization problem arising from the optimal reinforcement of a membrane by means of one-dimensional stiffeners or from the fastest cooling of a two-dimensional object by means of ``conducting wires'' is considered. The criterion…

Analysis of PDEs · Mathematics 2020-07-14 Giuseppe Buttazzo , Francesco Paolo Maiale

Generative models have attracted considerable attention for their ability to produce novel shapes. However, their application in mechanical design remains constrained due to the limited size and variability of available datasets. This study…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Yongmin Kwon , Namwoo Kang

Methodologies for reducing the design-space dimensionality in shape optimization have been recently developed based on unsupervised machine learning methods. These methods provide reduced dimensionality representations of the design space,…

Optimization and Control · Mathematics 2022-12-21 Andrea Serani , Matteo Diez

Design requirements for moving parts in mechanical assemblies are typically specified in terms of interactions with other parts. Some are purely kinematic (e.g., pairwise collision avoidance) while others depend on physics and material…

Robotics · Computer Science 2025-04-02 Amir M. Mirzendehdel , Morad Behandish

We present a general numerical approach to shape optimization with state constraints for 2-dimensional geometries, without relaxing the constraints. To do this we reformulate the problem on a fixed reference domain using a conformal…

Optimization and Control · Mathematics 2014-12-16 Christian Leithäuser , René Pinnau , Robert Feßler

This paper considers the shape formation problem within the 3D hybrid model, where a single agent with a strictly limited viewing range and the computational capacity of a deterministic finite automaton manipulates passive tiles through…

Data Structures and Algorithms · Computer Science 2024-05-15 Kristian Hinnenthal , David Liedtke , Christian Scheideler

We investigate the benefits of mutual coupling effects between the passive elements of intelligent reconfigurable surfaces (IRSs) on maximizing the achievable rate of downlink Internet-of-Things (IoT) networks. In this paper, we present an…

Information Theory · Computer Science 2023-02-23 Mohamed Akrout , Faouzi Bellili , Amine Mezghani , Josef A. Nossek

The two-dimentional (2D) separatrix shaping plays a crucial role in the confinement of the Field Reversed Configuration (FRC), and the magnetic coils serve as an effective means for its control. In this work we develop a method to optimize…

Plasma Physics · Physics 2023-11-08 Zitong Qu , Ping Zhu , Zhipeng Chen , Haolong Li , Jiaxing Liu

Optimizing k-space sampling trajectories is a promising yet challenging topic for fast magnetic resonance imaging (MRI). This work proposes to optimize a reconstruction method and sampling trajectories jointly concerning image…

Signal Processing · Electrical Eng. & Systems 2022-04-15 Guanhua Wang , Tianrui Luo , Jon-Fredrik Nielsen , Douglas C. Noll , Jeffrey A. Fessler

Anatomy-specific RF receive coil arrays routinely adopted in magnetic resonance imaging (MRI) for signal acquisition, are commonly burdened by their bulky, fixed, and rigid configurations, which may impose patient discomfort, bothersome…

Medical Physics · Physics 2023-12-21 Ke Wu , Xia Zhu , Stephan W. Anderson , Xin Zhang

In this paper, we propose a shape optimization pipeline for propeller blades, applied to naval applications. The geometrical features of a blade are exploited to parametrize it, allowing to obtain deformed blades by perturbating their…

Optimization and Control · Mathematics 2024-01-17 Anna Ivagnes , Nicola Demo , Gianluigi Rozza

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

This paper sets up an approach for shape optimization problems constrained by variational inequalities (VI) in an appropriate shape space. In contrast to classical VI, where no explicit dependence on the domain is given, VI constrained…

Optimization and Control · Mathematics 2024-03-12 Tim Suchan , Volker Schulz , Kathrin Welker

The present work proposes an extension of the third medium contact method for solving structural topology optimization problems that involve and exploit self-contact. A new regularization of the void region, which acts as the contact…

Computational Engineering, Finance, and Science · Computer Science 2021-03-15 Gore Lukas Bluhm , Ole Sigmund , Konstantinos Poulios

The geometry of an inductor made of a long thin wire and having the highest possible Q-factor is found by numerical optimization. As frequency increases, the Q-factor first grows linearly and then according to a square-root law, while the…

Classical Physics · Physics 2020-09-23 A. Rikhter , M. M. Fogler

The main contribution of this thesis is to investigate the incorporating skin and proximity effects in magnetic induction tomography (MIT) coils and present an improved model for the two-dimensional (2D) forward problem. To evaluate the…

Medical Physics · Physics 2022-06-17 Hassan Yazdanian
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