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A recent nature inspired optimization algorithm, Fish School Search (FSS) is applied to the finite element model (FEM) updating problem. This method is tested on a GARTEUR SM-AG19 aeroplane structure. The results of this algorithm are…

Computational Engineering, Finance, and Science · Computer Science 2013-08-13 I. Boulkabeit , L. Mthembu , T. Marwala , F. De Lima Neto

We evaluated the performance of the classical and spectral finite element method in the simulation of elastodynamic problems. We used as a quality measure their ability to capture the actual dispersive behavior of the material. Four…

Computational Engineering, Finance, and Science · Computer Science 2015-01-15 Nicolás Guarín-Zapata , Juan Gomez

We propose and analyze an adaptive finite element method for a phase-field model of dynamic brittle fracture. The model couples a second-order hyperbolic equation for elastodynamics with the Ambrosio-Tortorelli regularization of the…

Numerical Analysis · Mathematics 2025-10-08 Ram Manohar , S. M. Mallikarjuaniah

Finite element method applications are a common approach to simulate a handful of phenomena but can take a lot of computing power, causing elevated waiting time to produce precise results. The radiofrequency ablation finite element method…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-23 Marcelo Cogo Miletto , Claudio Schepke , Lucas Mello Schnorr

Reservoir simulators utilize numerical techniques to solve the governing equations of fluid flow in porous media and they are essential tool for oil and gas fields development. In practical reservoir simulation, the finite difference method…

Fluid Dynamics · Physics 2023-11-14 Taofik H. Nassan , Mohd Amro

In this article, we introduce a finite element method designed for the robust computation of approximate signed distance functions to arbitrary boundaries in two and three dimensions. Our method employs a novel prediction-correction…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Amina El Bachari , Johann Rannou , Vladislav A. Yastrebov , Pierre Kerfriden , Susanne Claus

While doing electromagnetic analysis using FEM (Finite element method), if we can implement the underlying symmetric nature of the problem, there will be significant reduction in the computational cost. Symmetric nature of the problem can…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Durgarao Kamireddy , Sreekanth Karanam , Arup Nandy

Estimating the travel time of ultrasound in an inhomogeneous medium is crucial for high-quality imaging, as with an accurate estimate of the distribution of speed of sound, phase aberration, which is normally viewed as one of the reasons…

Medical Physics · Physics 2023-12-12 Feixiao Long , Weiguang Zhang

Forward and inverse models are used throughout different engineering fields to predict and understand the behaviour of systems and to find parameters from a set of observations. These models use root-finding and minimisation techniques…

Computational Engineering, Finance, and Science · Computer Science 2023-08-08 Preslav Aleksandrov

In this article, the piecewise-linear finite element method (FEM) is applied to approximate the solution of time-fractional diffusion equations on bounded convex domains. Standard energy arguments do not provide satisfactory results for…

Numerical Analysis · Mathematics 2018-11-06 Samir Karaa , Kassem Mustapha , Amiya K. Pani

The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrical details impose a fine mesh and a reduced time step,…

Computational Engineering, Finance, and Science · Computer Science 2021-06-30 Xinyue Zhang , Fadime Bekmambetova , Piero Triverio

We propose an adaptive finite element method to approximate the solutions to reaction-diffusion systems on time-dependent domains and surfaces. We derive a computable error estimator that provides an upper bound for the error in the…

Numerical Analysis · Mathematics 2013-08-13 Chandrasekhar Venkataraman , Omar Lakkis , Anotida Madzvamuse

This paper describes the use of the corotational cut Finite Element Method (FEM) for real-time surgical simulation. Users only need to provide a background mesh which is not necessarily conforming to the boundaries/interfaces of the…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Huu Phuoc Bui , Satyendra Tomar , Stéphane P. A. Bordas

We develop a fast solver for the spectral element method (SEM) applied to the two-sided fractional diffusion equation on uniform, geometric and graded meshes. By approximating the singular kernel with a degenerate kernel, we construct a…

Numerical Analysis · Mathematics 2018-08-10 Xianjuan Li , Zhiping Mao , Fangying Song , Hong Wang , George Em Karniadakis

Learning descriptive spatio-temporal object models from data is paramount for the task of semi-supervised video object segmentation. Most existing approaches mainly rely on models that estimate the segmentation mask based on a reference…

Computer Vision and Pattern Recognition · Computer Science 2019-03-29 Sergi Caelles , Albert Pumarola , Francesc Moreno-Noguer , Alberto Sanfeliu , Luc Van Gool

A highly efficient fast boundary element method (BEM) for solving large-scale engineering acoustic problems in a broad frequency range is developed and implemented. The acoustic problems are modeled by the Burton-Miller boundary integral…

Numerical Analysis · Computer Science 2015-11-16 Yanchuang Cao , Lihua Wen , Jinyou Xiao

The numerical analysis for the small amplitude motion of an elastic beam with internal damping is investigated in domain with moving ends. An efficient numerical method is constructed to solve this moving boundary problem. The stability and…

Numerical Analysis · Mathematics 2019-07-05 Natanael Quintino , Mauro Rincon

This paper presents a new FDTD-based optical simulation model dedicated to describe the optical performances of CMOS image sensors taking into account diffraction effects. Following market trend and industrialization constraints, CMOS image…

Optics · Physics 2023-10-17 Flavien Hirigoyen , Axel Crocherie , Jérôme Vaillant , Yvon Cazaux

This paper presents a comprehensive numerical analysis of super-resolution imaging using dielectric microparticles, employing the Finite-Difference Time-Domain (FDTD) method to elucidate the mechanisms that enable resolution enhancements…

Optics · Physics 2024-09-18 Arlen Bekirov , Zengbo Wang , Boris Lukyanchuk

Direct numerical simulation of diffusion through heterogeneous media can be difficult due to the computational cost of resolving fine-scale heterogeneities. One method to overcome this difficulty is to homogenize the model by replacing the…

Numerical Analysis · Mathematics 2020-11-24 Nathan G. March , Elliot J. Carr , Ian W. Turner