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The homogenized harmonic balance finite element (FE) method enables efficient nonlinear eddy-current simulations of 3-D devices with lamination stacks by combining the harmonic balance method with a frequency-domain-based homogenization…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Jan-Magnus Christmann , Laura A. M. D'Angelo , Herbert De Gersem , Sven Pfeiffer , Sajjad H. Mirza

This paper presents experimental validation of the homogenized harmonic balance finite element method (HomHBFEM), which we have developed as a dedicated simulation technique for magnets with fast excitation cycles, in particular the fast…

Extensive research papers of three-dimensional computational techniques are widely used for the investigation of human brain pathophysiology. Eddy current analyzing could provide an indication of conductivity change within a biological…

Medical Physics · Physics 2019-06-05 Wuliang Yin , Mingyang Lu , Jiawei Tang , Qian Zhao , Zhijie Zhang , Kai Li , Yan Han , Anthony Peyton

In this paper we address three aspects of nonlinear computational homogenization of elastic solids by two-scale finite element methods. First, we present a nonlinear formulation of the finite element heterogeneous multiscale method FE-HMM…

Numerical Analysis · Mathematics 2019-12-24 Bernhard Eidel , Andreas Fischer , Ajinkya Gote

In this paper, we present a finite-element-extended boundary condition (FE-EBC) method for an efficient calculation of the electromagnetic wave scattering from inhomogeneous magneto-dielectric objects. To this end, we apply the hierarchical…

Computational Physics · Physics 2019-07-08 Ehsan Khodapanah

In this work, we present a parallel, fully-distributed finite element numerical framework to simulate the low-frequency electromagnetic response of superconducting devices, which allows to efficiently exploit HPC platforms. We select the…

Computational Engineering, Finance, and Science · Computer Science 2018-04-13 Marc Olm , Santiago Badia , Alberto F. Martín

A novel finite element method (FEM) is developed to study mechanical response of axons embedded in extra cellular matrix (ECM) when subjected to harmonic uniaxial stretch under purely non-affine kinematic boundary conditions. The proposed…

Biological Physics · Physics 2022-05-06 Mohit Agarwal , Assimina A. Pelegri

The finite element method (FEM) and the boundary element method (BEM) can numerically solve the Helmholtz system for acoustic wave propagation. When an object with heterogeneous wave speed or density is embedded in an unbounded exterior…

Numerical Analysis · Mathematics 2021-11-29 Elwin van 't Wout

This work presents a Boundary Element Method (BEM) formulation for contactless electromagnetic field assessments. The new scheme is based on a regularized BEM approach that requires the use of electric measurements only. The regularization…

Medical Physics · Physics 2017-03-08 Rajendra Mitharwal , Francesco P. Andriulli

Due to the strongly nonlinear behavior of ferromagnetic yokes, the numerical analysis of fast-ramping magnets is highly cumbersome and, therefore, in practice overly simplified by means of anhysteretic material descriptions and a posteriori…

Computational Engineering, Finance, and Science · Computer Science 2025-09-05 Dominik Moll , Laura A. M. D'Angelo , Herbert De Gersem , Fulvio Boattini , Luca Bottura , Marco Gast

The Heterogeneous Multiscale Finite Element Method (FE-HMM) is a two-scale FEM based on asymptotic homogenization for solving multiscale partial differential equations. It was introduced in [W. E and B. Engquist, \emph{Commun. Math. Sci.},…

Numerical Analysis · Mathematics 2017-11-22 Bernhard Eidel , Andreas Fischer

This paper introduces an accurate edge-based smoothed finite element method (ES-FEM) for electromagnetic analysis for both two dimensional cylindrical and three dimensional cartesian systems, which shows much better performance in terms of…

Computational Engineering, Finance, and Science · Computer Science 2019-10-30 Yangfan Zhang , Pengfei Wang , Wenping Li , Shunchuan Yang

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

Finite element methods have been shown to achieve high accuracies in numerically solving the EEG forward problem and they enable the realistic modeling of complex geometries and important conductive features such as anisotropic…

Numerical Analysis · Mathematics 2017-08-25 Johannes Vorwerk , Christian Engwer , Sampsa Pursiainen , Carsten H. Wolters

Computational modelling offers a cost-effective and time-efficient alternative to experimental studies in biomedical engineering. In cardiac electro-mechanics, finite element method (FEM)-based simulations provide valuable insights into…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 Tan Tran , Denisa Martonova , Sigrid Leyendecker

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

Computational Engineering, Finance, and Science · Computer Science 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

We propose a hybrid approach to solve the high-frequency Helmholtz equation with point source terms in smooth heterogeneous media. The method is based on the ray-based finite element method (ray-FEM), whose original version can not handle…

Numerical Analysis · Mathematics 2018-07-04 Jun Fang , Jianliang Qian , Leonardo Zepeda-Núñez , Hongkai Zhao

Computational studies of electrochemical interfaces based on density-functional theory (DFT) play an increasingly important role in present research on electrochemical processes for energy conversion and storage. The homogeneous background…

Materials Science · Physics 2022-04-26 Arthur Hagopian , Marie-Liesse Doublet , Jean-Sébastien Filhol , Tobias Binninger

The harmonic balance method (HBM) was originally developed for finding periodic solutions of electronical and mechanical systems under a periodic force, but has later been adapted to self-sustained musical instruments. Unlike time-domain…

Classical Physics · Physics 2016-08-16 Snorre Farner , Christophe Vergez , Jean Kergomard , Aude Lizée

The accurate electromagnetic modeling of both low- and high-frequency physics is crucial in the signal and power integrity analysis of electrical interconnects. The boundary element method (BEM) is appealing for lossy conductor modeling…

Computational Engineering, Finance, and Science · Computer Science 2022-08-31 Shashwat Sharma , Piero Triverio
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