Computers & Mathematics with Applications最新文献_第9页

A locking free numerical method for the poroelasticity–Forchheimer model 孔弹性-福克海默模型的无锁定数值方法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-09-05 DOI: 10.1016/j.camwa.2024.08.026

Wenlong He , Jiwei Zhang

引用次数: 0

Residual-based a posteriori error estimation for E-based formulation of a time-dependent eddy current problem 基于残差的后验误差估计，用于基于 E 的时变涡流问题表述

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-09-05 DOI: 10.1016/j.camwa.2024.08.020

Ivana Šebestová

引用次数: 0

Dynamics of particulate droplets collision: An Allen-Cahn based multiphase lattice Boltzmann approach 微粒液滴碰撞动力学：基于艾伦-卡恩的多相晶格玻尔兹曼方法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-09-04 DOI: 10.1016/j.camwa.2024.08.029

Eslam Ezzatneshan, Kian Nakhaei, Ayoub Fattahi

引用次数: 0

Three-dimensional elastodynamic analysis employing the generalized finite difference method with arbitrary-order accuracy 采用具有任意阶精度的广义有限差分法进行三维弹性力学分析

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-09-04 DOI: 10.1016/j.camwa.2024.08.025

Wenxiang Sun , Wenzhen Qu , Yan Gu , Shengdong Zhao

{"title":"Three-dimensional elastodynamic analysis employing the generalized finite difference method with arbitrary-order accuracy","authors":"Wenxiang Sun , Wenzhen Qu , Yan Gu , Shengdong Zhao","doi":"10.1016/j.camwa.2024.08.025","DOIUrl":"10.1016/j.camwa.2024.08.025","url":null,"abstract":"<div><p>This study introduces an efficient numerical methodology for the analysis of three-dimensional (3D) elastodynamics, featuring high-order precision in the temporal and spatial domains. In the temporal discretization process using the Krylov deferred correction (KDC) technique, the second-order time derivative is treated as a new variable in the governing equations. Spectral integration is then employed to mitigate the instability associated with numerical differentiation operators. Additionally, an improved numerical implementation of boundary conditions based on time integration is incorporated into the KDC approach. The boundary value problems at time nodes resulting from the above discretization process are resolved by employing generalized finite difference method (GFDM), providing the flexibility to choose the Taylor series expansion order. We present four numerical examples to indicate the performance of the developed method in the accuracy and stability. The obtained numerical results are meticulously compared with either analytical solutions or those calculated using COMSOL software.</p></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142136199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A novel parabolic model driven by double phase flux operator with variable exponents: Application to image decomposition and denoising 由具有可变指数的双相通量算子驱动的新型抛物线模型：应用于图像分解和去噪

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-08-30 DOI: 10.1016/j.camwa.2024.08.021

Abderrahim Charkaoui , Anouar Ben-Loghfyry , Shengda Zeng

{"title":"A novel parabolic model driven by double phase flux operator with variable exponents: Application to image decomposition and denoising","authors":"Abderrahim Charkaoui , Anouar Ben-Loghfyry , Shengda Zeng","doi":"10.1016/j.camwa.2024.08.021","DOIUrl":"10.1016/j.camwa.2024.08.021","url":null,"abstract":"<div><p>This work tackles a novel parabolic equation driven by a nonlinear operator with double variable exponents, aiming to decompose and denoise images. Our primary approach involves enhancing classical models based on variable exponent operators by considering a novel nonlinear operator having a double-phase flux with unbalanced growth. We begin initially by analyzing the theoretical solvability of our model. Employing the Musielak-Orlicz space, we establish a suitable functional framework for investigating the proposed model. Subsequently, we use the <em>Faedo-Galerkin</em> approach to establish the existence and uniqueness of a weak solution for our problem. Furthermore, we provide a demonstration showcasing how our model preserves solution positivity, emphasizing this as a consistent feature of the proposed model. To evaluate our theoretical results, we present various numerical simulations on some grayscale and medical images (Magnetic Resonance Images (MRI)). These simulations covered aspects like decomposition, robustness and behavior sensitivity of model parameters with visual and quantitative comparisons. The obtained numerical results strongly support the efficiency of the proposed model in preserving features, reducing artifacts and deleting noise in comparison to some well-known existing state-of-the-art models. Furthermore, the proposed model quantitatively surpasses the competitive models in terms of several well-known criteria, namely the Peak Signal-to-Noise Ratio (PSNR), the Structural Similarity Index (SSIM) and the Mean-Square Error (MSE).</p></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142096007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An analysis of the bilinear finite volume method for the singularly-perturbed convection-diffusion problems on Shishkin mesh 希什金网格上奇异扰动对流扩散问题的双线性有限体积法分析

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-08-30 DOI: 10.1016/j.camwa.2024.08.023

Ying Sheng, Tie Zhang

引用次数: 0

Direct hydroacoustics analyses of pipe orifice using lattice Boltzmann method 使用晶格玻尔兹曼法对管道孔口进行直接水声分析

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-08-30 DOI: 10.1016/j.camwa.2024.08.024

Beom-Jin Joe , Suk-Yoon Hong , Jee-Hun Song

{"title":"Direct hydroacoustics analyses of pipe orifice using lattice Boltzmann method","authors":"Beom-Jin Joe , Suk-Yoon Hong , Jee-Hun Song","doi":"10.1016/j.camwa.2024.08.024","DOIUrl":"10.1016/j.camwa.2024.08.024","url":null,"abstract":"<div><p>Acoustic waves in water pipes pose a structural threat but also offer a valuable tool for non-invasive inspection. Complex pipe geometries such as bends and surface liners create complex fluid boundaries, triggering interactions between fluid flow and acoustics. The lattice Boltzmann method (LBM) excels at capturing these interactions near complex boundaries, in contrast to the finite volume method, which can result in errors. However, the application of LBM in water pipes has been limited by stability problems. This study proposes a two-step (DM-TS) collision operator based on a direct method (LBM-HA) for stable LBM simulations in water pipes. LBM-HA enables direct hydroacoustic predictions for both acoustic and dynamic flow fields in a pipe orifice. A novel acoustic-dynamic complex boundary condition was formulated from the linearized Euler's equation to account for the physical effects of the bounded domain of the LBM-HA analysis. To distinguish between dynamic and acoustic components, wavenumber and frequency decomposition techniques were applied to the pressure data obtained within the pipe. In addition, mode decomposition of the acoustic pressure was conducted to identify the dominant acoustic modes. By comparing the LBM-HA results with experimental data, we highlighted the method's potential for direct hydroacoustic analysis considering the acoustic characteristics of the water pipe.</p></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142096008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Adaptive least-squares methods for convection-dominated diffusion-reaction problems 对流主导扩散反应问题的自适应最小二乘法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-08-30 DOI: 10.1016/j.camwa.2024.08.012

Zhiqiang Cai , Binghe Chen , Jing Yang

引用次数: 0

Enhanced osmosis model with bilateral total variation for effective shadow removal 具有双边总变化的增强渗透模型，可有效去除阴影

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-08-29 DOI: 10.1016/j.camwa.2024.08.014

Amine Laghrib , Fakhr-Eddine Limami , Abdeljalil Nachaoui

引用次数: 0

Upwind block-centered multistep differences for semiconductor device problem with heat and magnetic influences 有热和磁场影响的半导体器件问题的上风区块中心多步差分法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2024-08-27 DOI: 10.1016/j.camwa.2024.08.011

Changfeng Li , Yirang Yuan

{"title":"Upwind block-centered multistep differences for semiconductor device problem with heat and magnetic influences","authors":"Changfeng Li , Yirang Yuan","doi":"10.1016/j.camwa.2024.08.011","DOIUrl":"10.1016/j.camwa.2024.08.011","url":null,"abstract":"<div><p>In this paper, a mathematical model of semiconductor device with two important factors is discussed. Heat and magnetic influences are considered together. Its numerical approximation is important in information science and other technological innovation fields. The major physical unknowns (the potential, electron concentration, hole concentration, and the heat) are defined by four nonlinear PDEs: an elliptic equation, two convection-diffusion equations and a heat conductor equation. A conservative block-centered method is used to approximate the elliptic equation. The derivatives to time <em>t</em>, <span><math><mfrac><mrow><mo>∂</mo></mrow><mrow><mo>∂</mo><mi>t</mi></mrow></mfrac><mo>(</mo><mo>⋅</mo><mo>)</mo></math></span>, are discretized by multistep differences for improving the computational accuracy. The diffusions and convection terms are treated by block-centered differences and upwind approximations, respectively. This composite numerical method is suitable for this nonlinear system. Firstly, numerical dispersion and nonphysical oscillations are avoided. Secondly, the unknowns and their adjoint vectors are obtained simultaneously. Thirdly, the law of conservation is preserved. An error estimates is derived. Finally, simple examples are given for showing the efficiency and accuracy.</p></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142084157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0