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In nodal based finite element method (FEM), degrees of freedom are associated with the nodes of the element whereas, for edge FEM, degrees of freedom are assigned to the edges of the element. Edge element is constructed based on Whitney…

数值分析 · 数学 2022-03-29 Durgarao Kamireddy , Saurabh Madhukar Chavan , Arup Nandy

Event-related potential (ERP), a specialized paradigm of electroencephalographic (EEG), reflects neurological responses to external stimuli or events, generally associated with the brain's processing of specific cognitive tasks. ERP plays a…

神经与进化计算 · 计算机科学 2026-04-21 Yihe Wang , Zhiqiao Kang , Bohan Chen , Yu Zhang , Xiang Zhang

This work proposes an $r$-adaptive finite element method (FEM) using neural networks (NNs). The method employs the Ritz energy functional as the loss function, currently limiting its applicability to symmetric and coercive problems, such as…

Signals recorded from neurons with extracellular planar sensors have a wide range of waveforms and amplitudes. This variety is a result of different physical conditions affecting the ion currents through a cellular membrane. The…

In this paper, a hybrid quasi-static atomistic simulation method at finite temperature is developed, which combines the advantages of MD for thermal equilibrium and atomic-scale finite element method (AFEM) for efficient equilibration. Some…

原子物理 · 物理学 2015-06-17 Ran Xu , Bin Liu

The elastocaloric effect (ECE) is a thermodynamic quantity relating changes in entropy to changes in strain experienced by a material. As such, ECE measurements can provide valuable information about the entropy landscape proximate to…

This paper presents a novel methodology for fast simulation and analysis of transient heat transfer. The proposed methodology is suitable for real-time applications owing to (i) establishing the solution method from the viewpoint of…

计算工程、金融与科学 · 计算机科学 2021-12-30 Jinao Zhang , Sunita Chauhan

The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finite element (FE) method to approximate the stresses and forces…

数值分析 · 数学 2023-02-01 David Wells , Ben Vadala-Roth , Jae H. Lee , Boyce E. Griffith

High-resolution and anatomically realistic computer models of biological soft tissues play a significant role in the understanding of the function of cardiovascular components in health and disease. However, the computational effort to…

医学物理 · 物理学 2015-08-12 Christoph M. Augustin , Gerhard A. Holzapfel , Olaf Steinbach

The accurate representation of numerous physical, chemical, and biological processes relies heavily on differential equations (DEs), particularly nonlinear differential equations (NDEs). While understanding these complex systems…

数值分析 · 数学 2025-10-17 Mara Martinez , B. Veena S. N. Rao , S. M. Mallikarjunaiah

Neuronal damage, in the form of both brain and spinal cord injuries, is one of the major causes of disability and death in young adults worldwide. One way to assess the direct damage occurring after a mechanical insult is the simulation of…

神经与进化计算 · 计算机科学 2024-09-20 Antonio LaTorre , Man Ting Kwong , Julián A. García-Grajales , Riyi Shi , Antoine Jérusalem , José-María Peña

Recent studies have revealed the complex structure of nerve signals in axons. There is experimental evidence that the propagation of an electrical signal (action potential) is accompanied by mechanical and thermal effects. In this paper,…

生物物理 · 物理学 2020-09-21 Jüri Engelbrecht , Kert Tamm , Tanel Peets

Correctly capturing intraoperative brain shift in image-guided neurosurgical procedures is a critical task for aligning preoperative data with intraoperative geometry for ensuring accurate surgical navigation. While the finite element…

图像与视频处理 · 电气工程与系统科学 2022-10-18 Yasmin Salehi , Dennis Giannacopoulos

Accurate and efficient modeling of soft-tissue interactions is fundamental for advancing surgical simulation, surgical robotics, and model-based surgical automation. To achieve real-time latency, classical Finite Element Method (FEM)…

This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through the Virtual Element Method (VEM). VE-approaches have great potential for the homogenization of the physical properties…

计算工程、金融与科学 · 计算机科学 2021-04-07 Christoph Böhm , Blaž Hudobivnik , Michele Marino , Peter Wriggers

Objective: A model is presented to evaluate the viability of using electrical impedance tomography (EIT) with a nerve cuff to record neural activity in peripheral nerves. Approach: Established modelling approaches in neural-EIT are expanded…

神经元与认知 · 定量生物学 2018-05-09 J. Hope , F. Vanholsbeeck , A. McDaid

In electromagnetic analysis, the finite element and boundary element methods jointly known as 'FEM-BEM coupling' is applied for numerically solving levitation problem based on eddy current. The main focus behind this coupled analysis method…

数值分析 · 数学 2021-08-24 Sayan Sarkar , Amit Jena , Mashuq un Nabi

We investigate numerically a quasi-static elasticity system of Kachanov-type. To do so we propose an Euler time discretization combined with a suitable finite elements scheme (FEM) to handle the discretization is space. We use ODE-type…

数值分析 · 数学 2022-02-15 Simon Grützner , Adrian Muntean

We present a novel computational framework to simulate the electromechanical response of self-sensing carbon nanotube (CNT)-based composites experiencing fracture. The computational framework combines electrical-deformation-fracture finite…

计算工程、金融与科学 · 计算机科学 2023-02-22 L. Quinteros , E. García-Macías , E. Martínez-Pañeda

We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stress-stretch and voltage-stretch tests. We show how the relationship between electric displacement and…

软凝聚态物质 · 物理学 2018-11-14 Giuseppe Zurlo , Michel Destrade , Tongqing Lu