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In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conductors. The proposed solver is accelerated with the adaptive…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-30 Damian Marek , Shashwat Sharma , Piero Triverio

In this article, an efficient transient electricalthermal co-simulation method based on the finite element method (FEM) and the discontinuous Galerkin time-domain (DGTD) method is developed for electrical-thermal coupling analysis of…

Numerical Analysis · Mathematics 2023-04-06 Kai Zhu , Shunchuan Yang

Pathophysiolpgical modelling of brain systems from microscale to macroscale remains difficult in group comparisons partly because of the infeasibility of modelling the interactions of thousands of neurons at the scales involved. Here, to…

Neurons and Cognition · Quantitative Biology 2026-01-30 Kang You , Gary Green , Jian Zhang

Reactive, semi-permeable interfaces play important roles in key biological processes such as targeted drug delivery, lipid metabolism, and signal transduction. These systems involve coupled surface reactions, transmembrane transport, and…

Numerical Analysis · Mathematics 2025-07-22 Weidong Shi , Shixin Xu , Zhen Zhang , Quan Zhao

We propose a boundary element method for the accurate solution of the cell-by-cell bidomain model of electrophysiology. The cell-by-cell model, also called Extracellular-Membrane-Intracellular (EMI) model, is a system of reaction-diffusion…

Numerical Analysis · Mathematics 2024-06-28 Giacomo Rosilho de Souza , Rolf Krause , Simone Pezzuto

We propose a three dimensional mechanical model of embryonic tissue dynamics. Mechanically coupled adherent cells are represented as particles interconnected with elastic beams which can exert non-central forces and torques. Tissue…

Biological Physics · Physics 2015-06-22 Andras Czirok , Dona Greta Isai

Future developments of lighter, more compact and powerful motors-driven by environmental and sustainability considerations in the transportation industry-involve higher stresses, currents and electromagnetic fields. Strong couplings between…

Classical Physics · Physics 2021-02-24 N Hanappier , E Charkaluk , N Triantafyllidis

A new finite element method (FEM) using meshes that do not necessarily align with the interface is developed for two- and three-dimensional anisotropic elliptic interface problems with nonhomogeneous jump conditions. The degrees of freedom…

Numerical Analysis · Mathematics 2025-05-20 Haifeng Ji , Zhilin Li

This study presents a novel approach for predicting wall thickness changes in tubes during the nosing process. Specifically, we first provide a thorough analysis of nosing processes and the influencing parameters. We further set-up a Finite…

Machine Learning · Computer Science 2024-11-22 Sasa Ilic , Abdulkerim Karaman , Johannes Pöppelbaum , Jan Niclas Reimann , Michael Marré , Andreas Schwung

A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

Tissues and Organs · Quantitative Biology 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

This paper introduces a highly adaptive and automated approach for generating Finite Element (FE) discretization for a given realistic multi-compartment human head model obtained through magnetic resonance imaging (MRI) dataset. We aim at…

Analysis of PDEs · Mathematics 2023-07-17 Fernando Galaz Prieto , Joonas Lahtinen , Maryam Samavaki , Sampsa Pursiainen

The analyses presented herein demonstrate that neuronal electrical activity can be consistently interpreted as a manifestation of murburn redox-mediated electronic dynamics rather than as a process fundamentally driven by transmembrane…

Neurons and Cognition · Quantitative Biology 2026-05-04 Kelath Murali Manoj , Nagamani Sukumar

Estimating heat flux in the nuclear fusion device EAST is a critically important task. Traditional scientific computing methods typically model this process using the Finite Element Method (FEM). However, FEM relies on grid-based sampling…

Machine Learning · Computer Science 2025-08-07 Xiao Wang , Zikang Yan , Hao Si , Zhendong Yang , Qingquan Yang , Dengdi Sun , Wanli Lyu , Jin Tang

Finite element modeling (FEM) is a critical tool in the design and analysis of piezoelectric devices, offering detailed numerical simulations that guide various applications. While traditionally applied to eigenfrequency analysis and…

Robotics · Computer Science 2024-09-18 Zhanyue Zhao , Yang Wang , Charles Bales , Yiwei Jiang , Gregory Fischer

Computational biomechanics models of the brain have become an important tool for investigating the brain responses to mechanical loads. The geometry, loading conditions, and constitutive properties of such brain models are well-studied and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-10 Sajjad Arzemanzadeh , Benjamin Zwick , Karol Miller , Tim Rosenow , Stuart I. Hodgetts , Adam Wittek

Background and Objective: Transcranial temporal interference stimulation (tTIS) is a promising non-invasive brain stimulation technique in which interference between electrical current fields extends the possibilities of electrical brain…

Numerical Analysis · Mathematics 2026-02-05 Santtu Söderholm , Maryam Samavaki , Sampsa Pursiainen

We study the electrothermal actuation of nanomechanical motion using a combination of numerical simulations and analytical solutions. The nanoelectrothermal actuator structure is a u-shaped gold nanoresistor that is patterned on the anchor…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 Monan Ma , Kamil L. Ekinci

Intracellular processes triggered by neural activity include changes in ionic concentrations, protein release, and synaptic vesicle cycling. These processes play significant roles in neurological disorders. The beneficial effects of brain…

Neurons and Cognition · Quantitative Biology 2024-09-26 Saeed Omidi , Gianluca Fabi , Xiaopeng Wang , James C. M. Hwang , Yevgeny Berdichevsky

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

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
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