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Related papers: CutFEM forward modeling for EEG source analysis

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This paper presents a fractional one-dimensional convolutional neural network (CNN) autoencoder for denoising the Electroencephalogram (EEG) signals which often get contaminated with noise during the recording process, mostly due to muscle…

Machine Learning · Computer Science 2021-04-19 Subham Nagar , Ahlad Kumar

A Brain Computer Interface (BCI) connects the human brain to the outside world, providing a direct communication channel. Electroencephalography (EEG) signals are commonly used in BCIs to reflect cognitive patterns related to motor function…

Machine Learning · Computer Science 2025-11-19 Abdullah Al Shiam , Md. Khademul Islam Molla , Abu Saleh Musa Miah , Md. Abdus Samad Kamal

Meshing complex engineering domains is a challenging task. Arbitrary polyhedral meshes can provide the much needed flexibility in automated discretization of such domains. The geometric property of the polyhedral meshes such as the…

Optimization and Control · Mathematics 2015-07-22 Arun L. Gain , Glaucio H. Paulino , Leonardo Duarte , Ivan F. M. Menezes

This work develops a polygonal finite element method (PFEM) for the analysis of steady-state and transient thermal stresses in two dimensional continua. The method employs Wachspress rational basis functions to construct conforming…

Numerical Analysis · Mathematics 2025-04-23 Yang Yang , Mingjiao Yan , Zongliang Zhang , Dengmiao Hao , Xuedong Chen , Weixiong Chen

Extreme ultraviolet (EUV) lithography is seen as a main candidate for production of future generation computer technology. Due to the short wavelength of EUV light (around 13 nm) novel reflective masks have to be used in the production…

Optics · Physics 2010-11-12 J. Pomplun , S. Burger , F. Schmidt , F. Scholze , C. Laubis , U. Dersch

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

Numerical Analysis · Mathematics 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions to deterministic engineering problems described by partial differential equations. FEM produces discrete approximations of the solution with…

Applications in behavioural research, human-computer interaction, and mental health depend on the ability to recognize emotions. In order to improve the accuracy of emotion recognition using electroencephalography (EEG) data, this work…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Ali Asgar Chandanwala , Srutakirti Bhowmik , Parna Chaudhury , Sheena Christabel Pravin

This study introduces a novel integration of the Brainstorm (BST) software and the Zeffiro Interface (ZI) to enable whole-head, multi-compartment volume conductor modeling for electroencephalography (EEG) source imaging, with a particular…

Electrical machines employing superconductors are attractive solutions in a variety of application domains. Numerical models are powerful and necessary tools to optimize their design and predict their performance. The electromagnetic…

Superconductivity · Physics 2018-07-04 Roberto Brambilla , Francesco Grilli , Luciano Martini , Marco Bocchi , Giuliano Angeli

This article introduces the Zeffiro interface (ZI) version 2.2 for brain imaging. ZI aims to provide a simple, accessible and multimodal open source platform for finite element method (FEM) based and graphics processing unit (GPU)…

Mathematical Software · Computer Science 2019-09-04 Qin He , Atena Rezaei , Sampsa Pursiainen

Biomedical signal processing extract meaningful information from physiological signals like electrocardiograms (ECGs), electroencephalograms (EEGs), and electromyograms (EMGs) to diagnose, monitor, and treat medical conditions and diseases…

Signal Processing · Electrical Eng. & Systems 2025-08-13 Justin London

We apply a new calculation scheme of a finite element method (FEM) for solving an elliptic boundary-value problem describing a quadrupole vibration collective nuclear model with tetrahedral symmetry. We use of shape functions constructed…

This paper considers flow problems in multiscale heterogeneous porous media. The multiscale nature of the modeled process significantly complicates numerical simulations due to the need to compute huge and ill-conditioned sparse matrices,…

Numerical Analysis · Mathematics 2024-10-16 Djulustan Nikiforov , Leonardo A. Poveda , Dmitry Ammosov , Yesy Sarmiento , Juan Galvis

High-density electroencephalography (HD-EEG) enables fine-grained measurement of cortical activity but requires expensive hardware and lengthy setup times, limiting its clinical and research accessibility. We propose EMAG (EEG Mixture of…

Machine Learning · Computer Science 2026-05-29 Alex Lazarovich , Ofir Itzhak Shahar , Gur Elkin , Ohad Ben-Shahar

In this paper, we present a robust and efficient unfitted concurrent multiscale method for continuum-continuum coupling, based on the Cut Finite Element Method (CutFEM). The computational domain is defined using approximate signed distance…

Computational Engineering, Finance, and Science · Computer Science 2023-06-02 Ehsan Mikaeili , Pierre Kerfriden , Susanne Claus

One of the major issues in the computational mechanics is to take into account the geometrical complexity. To overcome this difficulty and to avoid the expensive mesh generation, geometrically unfitted methods, i.e. the numerical methods…

Numerical Analysis · Mathematics 2021-10-12 Stephane Cotin , Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot

This paper presents and analyses a Constraint Energy Minimization Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving single-phase non-linear compressible flows in highly heterogeneous media. The construction of CEM-GMsFEM…

Numerical Analysis · Mathematics 2023-03-31 Leonardo A. Poveda , Shubin Fu , Eric T. Chung , Lina Zhao

Generalized or extended finite element methods (GFEM/XFEM) are in general badly conditioned and have numerous additional degrees of freedom (DOF) compared with the FEM because of introduction of enriched functions. In this paper, we develop…

Numerical Analysis · Mathematics 2020-02-04 Qinghui Zhang , Cu Cui

Accurately depicting multiphysics interactions in interfacial systems requires computational frameworks capable of reconciling geometric adaptability with strict conservation fidelity. However, traditional spatiotemporal discretisation…

Computational Engineering, Finance, and Science · Computer Science 2025-11-18 Suhaib Ardah , Francisco J. Profito , Daniele Dini