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The boundary element method (BEM) enables the efficient electromagnetic modelling of lossy conductors with a surface-based discretization. Existing BEM techniques for conductor modelling require either expensive dual basis functions or the…

Computational Physics · Physics 2020-12-29 Shashwat Sharma , Piero Triverio

Brain-machine interfaces (BMIs), particularly those based on electroencephalography (EEG), offer promising solutions for assisting individuals with motor disabilities. However, challenges in reliably interpreting EEG signals for specific…

Signal Processing · Electrical Eng. & Systems 2025-04-23 Biplov Paneru , Bipul Thapa , Bishwash Paneru , Sanjog Chhetri Sapkota

We consider a Johnson-N\'ed\'elec FEM-BEM coupling, which is a direct and non-symmetric coupling of finite and boundary element methods, in order to solve interface problems for the magnetostatic Maxwell's equations with the magnetic vector…

Numerical Analysis · Mathematics 2021-10-11 Mehdi Elasmi , Christoph Erath , Stefan Kurz

Mental disorders present challenges in diagnosis and treatment due to their complex and heterogeneous nature. Electroencephalogram (EEG) has shown promise as a potential biomarker for these disorders. However, existing methods for analyzing…

Methodology · Statistics 2024-01-30 Xingche Guo , Bin Yang , Ji Meng Loh , Qinxia Wang , Yuanjia Wang

Electroencephalography (EEG) has emerged as a cost-effective and efficient tool to support neurologists in the detection of Alzheimer's Disease (AD). However, most existing approaches rely heavily on manual feature engineering or data…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Yihe Wang , Nadia Mammone , Darina Petrovsky , Alexandros T. Tzallas , Francesco C. Morabito , Xiang Zhang

Electroencephalography foundation models (EEG-FMs) have advanced brain signal analysis, but the lack of standardized evaluation benchmarks impedes model comparison and scientific progress. Current evaluations rely on inconsistent protocols…

Signal Processing · Electrical Eng. & Systems 2026-02-16 Wei Xiong , Jiangtong Li , Jie Li , Kun Zhu , Changjun Jiang

Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what appears to be the first application of the boundary element method (BEM) where each BEM basis…

Numerical Analysis · Mathematics 2024-04-23 António M. Caetano , Simon N. Chandler-Wilde , Andrew Gibbs , David P. Hewett , Andrea Moiola

Electroencephalography (EEG) signals are promising as alternatives to other biometrics owing to their protection against spoofing. Previous studies have focused on capturing individual variability by analyzing task/condition-specific EEG.…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Mari Ganesh Kumar , Shrikanth Narayanan , Mriganka Sur , Hema A Murthy

A coupled boundary spectral element method (BSEM) and spectral element method (SEM) formulation for the propagation of small-amplitude water waves over variable bathymetries is presented in this work. The wave model is based on the…

Numerical Analysis · Mathematics 2025-02-04 Antonio Cerrato , Luis Rodríguez-Tembleque , José A. González , M. H. Ferri Aliabadi

The incidence of Alzheimer's disease (AD) and other forms of dementia is increasing in most western countries. For a precise and early diagnosis, several examination modalities exist, among them single-photon emission computed tomography…

Magnetoencephalography (MEG) and electroencephalogra-phy (EEG) are non-invasive modalities that measure the weak electromagnetic fields generated by neural activity. Inferring the location of the current sources that generated these…

Machine Learning · Statistics 2019-02-14 Hicham Janati , Thomas Bazeille , Bertrand Thirion , Marco Cuturi , Alexandre Gramfort

Cross-subject generalization in EEG-based brain-computer interfaces (BCIs) remains challenging due to individual variability in neural signals. We investigate whether spectral representations offer more stable features for cross-subject…

Machine Learning · Computer Science 2026-02-19 Megan Lee , Seung Ha Hwang , Inhyeok Choi , Shreyas Darade , Mengchun Zhang , Kateryna Shapovalenko

In this paper, we present a frequency-domain volume integral method to model the microseismic wavefield in heterogeneous anisotropic-elastic media. The elastic wave equation is written as an integral equation of the Lippmann-Schwinger type,…

Geophysics · Physics 2023-01-31 Ujjwal Shekhar , Morten Jakobsen , Einar Iversen , Inga Berre , Florin A. Radu

Alzheimer's disease is a neurodegenerative condition that accelerates cognitive decline relative to normal aging. It is of critical scientific importance to gain a better understanding of early disease mechanisms in the brain to facilitate…

Applications · Statistics 2022-01-19 D. Andrew Brown , Christopher S. McMahan , Russell T. Shinohara , Kristin A. Linn

Single-channel electroencephalogram (EEG) is a cost-effective, comfortable, and non-invasive method for monitoring brain activity, widely adopted by researchers, consumers, and clinicians. The increasing number and proportion of articles on…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Yueyang Li , Weiming Zeng , Wenhao Dong , Di Han , Lei Chen , Hongyu Chen , Zijian Kang , Shengyu Gong , Hongjie Yan , Wai Ting Siok , Nizhuan Wang

Electroencephalography (EEG) interpretation using multimodal large language models (MLLMs) offers a novel approach for analyzing brain signals. However, the complex nature of brain activity introduces critical challenges: EEG signals…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Ziyi Zeng , Zhenyang Cai , Yixi Cai , Xidong Wang , Junying Chen , Rongsheng Wang , Yipeng Liu , Siqi Cai , Benyou Wang , Zhiguo Zhang , Haizhou Li

We propose a full-wave pseudo-analytical numerical electromagnetic (EM) algorithm to model subsurface induction sensors, traversing planar-layered geological formations of arbitrary EM material anisotropy and loss, which are used, for…

Computational Physics · Physics 2016-04-20 Kamalesh Sainath , Fernando L. Teixeira

We present a novel immersed boundary method that implements acoustic perturbation theory to model an acoustically levitated droplet. Instead of resolving sound waves numerically, our hybrid method solves acoustic scattering…

Soft Condensed Matter · Physics 2024-03-22 Jacqueline B. Sustiel , David G. Grier

Accurate and efficient electroencephalography (EEG) analysis is essential for detecting seizures and artifacts in long-term monitoring, with applications spanning hospital diagnostics to wearable health devices. Robust EEG analytics have…

Machine Learning · Computer Science 2025-10-20 Anna Tegon , Thorir Mar Ingolfsson , Xiaying Wang , Luca Benini , Yawei Li

We introduce a coupled finite and boundary element formulation for acoustic scattering analysis over thin shell structures. A triangular Loop subdivision surface discretisation is used for both geometry and analysis fields. The…

Numerical Analysis · Mathematics 2019-04-16 Zhaowei Liu , Musabbir Majeed , Fehmi Cirak , Robert N. Simpson