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This study introduces a systematic and optimised methodology for designing Linear Variable Differential Transformer (LVDT) sensors and Voice Coil (VC) actuators, tailored for high-precision applications such as gravitational wave detectors…

仪器与探测器 · 物理学 2026-03-10 Kumar Akhil Kukkadapu , Hans Van Haevermaet , Wim Beaumont , Nick van Remortel

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…

计算工程、金融与科学 · 计算机科学 2021-12-21 Liwei Wang , Zhao Liu , Daicong Da , Yu-Chin Chan , Wei Chen , Ping Zhu

This paper applies topology optimisation to the design of structures with periodic microstructural details without length scale separation, i.e. considering the complete macroscopic structure and its response, while resolving all…

计算工程、金融与科学 · 计算机科学 2015-08-19 Joe Alexandersen , Boyan S. Lazarov

This paper presents a novel phase-field-based methodology for solving minimum compliance problems in topology optimization under fixed external loads and body forces. The proposed framework characterizes the optimal structure through an…

最优化与控制 · 数学 2025-07-23 Huangxin Chen , Piaopiao Dong , Dong Wang , Xiao-Ping Wang

This paper introduces an efficient design approach for a fast-convolution-based variable-bandwidth (VBW) filter. The proposed approach is based on a hybrid of frequency sampling and optimization (HFSO), that offers significant computational…

信号处理 · 电气工程与系统科学 2025-03-20 Oksana Moryakova , Håkan Johansson

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,…

计算物理 · 物理学 2026-02-18 F. Şık , F. L. Teixeira , B. Shanker

This work introduces an Adaptive Mesh Refinement (AMR) strategy for the topology optimization of structures made of discrete geometric components using the geometry projection method. Practical structures made of geometric shapes such as…

最优化与控制 · 数学 2020-04-22 Shanglong Zhang , Arun L. Gain , Julian A. Norato

Classical gradient-based density topology optimization is adapted for method-of-moments numerical modeling to design a conductor-based system attaining the minimal antenna Q-factor evaluated via an energy stored operator. Standard topology…

最优化与控制 · 数学 2023-12-22 Jonas Tucek , Miloslav Capek , Lukas Jelinek , Ole Sigmund

A density-based topology optimization framework is developed to manipulate characteristic modes of conducting surfaces. The adjoint sensitivity analysis provides an efficient computation of the material gradient utilized by the local…

最优化与控制 · 数学 2025-02-07 Jonas Tucek , Miloslav Capek , Lukas Jelinek

This paper proposes a new method, in the frequency domain, to define absorbing boundary conditions for general two-dimensional problems. The main feature of the method is that it can obtain boundary conditions from the discretized equations…

经典物理 · 物理学 2015-05-14 Denis Duhamel , Tien-Minh Nguyen

We present a topological framework for finding low-flop algorithms for evaluating element stiffness matrices associated with multilinear forms for finite element methods posed over straight-sided affine domains. This framework relies on…

数值分析 · 数学 2012-05-15 Robert C. Kirby , Anders Logg , L. Ridgway Scott , Andy R. Terrel

Motivated by the limitation of analyzing oscillatory signals composed of multiple components with fast-varying instantaneous frequency, we approach the time-frequency analysis problem by optimization. Based on the proposed adaptive harmonic…

数值分析 · 数学 2016-03-22 Matthieu Kowalski , Adrien Meynard , Hau-tieng Wu

To obtain fast solutions for governing physical equations in solid mechanics, we introduce a method that integrates the core ideas of the finite element method with physics-informed neural networks and concept of neural operators. This…

Many interesting and fundamentally practical optimization problems, ranging from optics, to signal processing, to radar and acoustics, involve constraints on the Fourier transform of a function. It is well-known that the {\em fast Fourier…

最优化与控制 · 数学 2012-09-05 Robert J. Vanderbei

The paper presents algorithms to realize effectively and accurately the stepped-frequency waveform reflectometry (SFWR), i.e. the reflectometric technique based on the use of sinusoidal bursts. This technique is useful for monitoring the…

信号处理 · 电气工程与系统科学 2020-02-19 Nicola Giaquinto , Marco Scarpetta , Maurizio Spadavecchia

Gradient-free optimizers allow for tackling problems regardless of the smoothness or differentiability of their objective function, but they require many more iterations to converge when compared to gradient-based algorithms. This has made…

机器学习 · 计算机科学 2024-09-24 Gawel Kus , Miguel A. Bessa

The interference of fluorescence signals and noise remains a significant challenge in Raman spectrum analysis, often obscuring subtle spectral features that are critical for accurate analysis. Inspired by variational methods similar to…

图像与视频处理 · 电气工程与系统科学 2025-12-08 Nelson H. T. Lemes , José Claudinei Ferreira , Higor V. M. Ferreira

Ultrasound imaging is extensively employed in clinical settings due to its non-ionizing nature and real-time capabilities. The beamformer represents a crucial component of an ultrasound machine, playing a significant role in shaping the…

最优化与控制 · 数学 2024-01-12 Chiara Razzetta , Valentina Candiani , Marco Crocco , Federico Benvenuto

We develop a statistically robust framework for reconstructing metal--semiconductor contact regions using topological gradients. The inverse problem is formulated as the identification of an unknown contact region from boundary measurements…

数值分析 · 数学 2026-03-05 Lekbir Afraites , Aissam Hadri , Mourad Hrizi , Julius Fergy Tiongson Rabago

In this paper, a topology optimization framework utilizing automatic differentiation is presented as an efficient way for solving 2D density-based topology optimization problem by calculating gradients through the fully differentiable…

计算工程、金融与科学 · 计算机科学 2020-09-23 Liang Chen , Herman M. H. Shen