Computers & Mathematics with Applications最新文献_第6页

Efficient reliability analysis method for non-linear truss structures using machine learning-based uncertainty quantification 基于机器学习的非线性桁架结构不确定性量化可靠度分析方法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-16 DOI: 10.1016/j.camwa.2025.01.014

Trung-Hieu Nguyen, Truong-Thang Nguyen, Duc-Minh Hoang, Viet-Hung Dang, Xuan-Dat Pham

{"title":"Efficient reliability analysis method for non-linear truss structures using machine learning-based uncertainty quantification","authors":"Trung-Hieu Nguyen, Truong-Thang Nguyen, Duc-Minh Hoang, Viet-Hung Dang, Xuan-Dat Pham","doi":"10.1016/j.camwa.2025.01.014","DOIUrl":"10.1016/j.camwa.2025.01.014","url":null,"abstract":"<div><div>Truss structures typically involve a large number of similar elements; hence, it is necessary to employ reliability analysis algorithms that can handle high-dimensional problems to analyze the reliability of truss structures. Moreover, when considering non-linear behaviors in terms of both material properties and geometry, developing such an algorithm is challenging. For this purpose, this study proposes a novel method, named t-LQR that combines the advancements from three domains: i) a high-performance gradient boosting model from machine learning for a highly accurate prediction model, ii) an active learning process from reliability analysis for adaptively improving the prediction model, and iii) quantile regression for uncertainty quantification from probabilistic information to identify the relevant candidates used to refine the prediction model. The validity and robustness of the proposed method are verified through planar and spatial truss structures, showing that t-LQR significantly reduces the computational time of structural analysis-up to 25 times-compared to the conventional Monte Carlo methods. Furthermore, t-LQR outperforms competing Kirging-based models in terms of accuracy for non-linear problems.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"182 ","pages":"Pages 66-83"},"PeriodicalIF":2.9,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143020190","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

The mechanism analysis of the oscillatory flow of Oldroyd-B fluid in a tube with a right triangular cross-section oldyd - b流体在直角三角形截面管内振荡流动的机理分析

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2024.12.001

Lin Liu , Sen Zhang , Lang Liu , Chiyu Xie , Lixiu Wang , Yijia Liu , Jing Zhu , Libo Feng

{"title":"The mechanism analysis of the oscillatory flow of Oldroyd-B fluid in a tube with a right triangular cross-section","authors":"Lin Liu , Sen Zhang , Lang Liu , Chiyu Xie , Lixiu Wang , Yijia Liu , Jing Zhu , Libo Feng","doi":"10.1016/j.camwa.2024.12.001","DOIUrl":"10.1016/j.camwa.2024.12.001","url":null,"abstract":"<div><div>This paper considers the oscillatory flow of the Oldroyd-B fluid in a tube with a right triangular cross-section. The partial differential equation for describing the unidirectional flow of Oldroyd-B fluid is derived. For treating the triangular region, the unstructured mesh finite element method is applied. For verifying the accuracy of the finite element method, the source term is introduced and the exact solution is constructed. We obtain an analytical solution for the isosceles triangular cross-section tube and analyze the effects of different parameters on the velocity amplitude and phase difference of the Oldroyd-B fluid flow. In addition, the dynamic characteristics for the unsteady-state Oldroyd-B fluid flow are discussed and the influence of the involved parameters, such as the pressure gradient, the relaxation and retardation time parameters on the velocity distribution are also investigated and the flow mechanism is analyzed graphically. At the same condition, we find that only the tube with an isosceles right triangle cross-section can produce the oscillatory flow. Finally, the fluid mechanism between the Newtonian fluid and the Oldroyd-B fluid for special cases is analyzed and discussed in detail.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"178 ","pages":"Pages 179-196"},"PeriodicalIF":2.9,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142804451","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

Analysis of tumor metastasis model in microenvironment based on coupled fractional reaction diffusion equation 基于耦合分式反应扩散方程的微环境肿瘤转移模型分析

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2025.01.012

Yating Huang, Zhenyou Wang

引用次数: 0

In-plane vibration analysis of elastically restrained FGM skew plates using variational differential quadrature method 变分微分正交法分析弹性约束FGM斜板的面内振动

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2024.11.026

C. Li , S. Li , Y.M. Zhang , J.W. Cai , S.K. Lai

{"title":"In-plane vibration analysis of elastically restrained FGM skew plates using variational differential quadrature method","authors":"C. Li , S. Li , Y.M. Zhang , J.W. Cai , S.K. Lai","doi":"10.1016/j.camwa.2024.11.026","DOIUrl":"10.1016/j.camwa.2024.11.026","url":null,"abstract":"<div><div>This work presents an accurate in-plane vibration analysis of functionally graded material (FGM) skew plates with elastically restrained boundaries using the variational differential quadrature method (VDQM). The weak form of the governing equations is derived by integrating two-dimensional elasticity theory with Hamilton's principle. The differential and integral operators are directly converted into matrix forms, thereby removing the necessity for higher-order derivative approximations in the displacement field. Transformation matrices are then developed for both interior and boundary nodes to link the governing equations with the boundary conditions, leading to the formulation of the vibration eigenvalue equations for FGM skew plates. Various factors, including aspect ratios, skew angles, boundary restraints, and gradient indices, are considered to investigate the in-plane vibration mode characteristics of FGM skew plates. Detailed solution procedures are provided, and numerical examples using the proposed solutions indicate that the VDQM exhibits superior numerical convergence and stability compared to other existing methods. The study also investigates the influence of highly skewed plates (75°), where stress singularities arise at the corners. This aspect is crucial for in-plane vibration analysis and has garnered limited attention in the existing literature. Furthermore, the dynamic analysis of FGM skew plates reveals a coupling between normal and tangential vibration modes.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"178 ","pages":"Pages 136-153"},"PeriodicalIF":2.9,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142762994","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

Partitioned time stepping method for time-fractional Stokes-Darcy model with the Beavers-Joseph-Saffman interface conditions 具有beaver - joseph - saffman界面条件的时间分数Stokes-Darcy模型的分割时间步进方法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2024.11.033

Yuting Xiang , Haibiao Zheng

引用次数: 0

A family of second-order time stepping methods for a nonlinear fluid-fluid interaction model 一类非线性流体-流体相互作用模型的二阶时间步进方法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2025.01.010

Yiru Chen , Yun-Bo Yang , Lijie Mei

引用次数: 0

An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms 具有扩散项和对流项不同量级参数的二维椭圆型奇摄动系统的一种有效数值方法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2025.01.011

Carmelo Clavero , Ram Shiromani

{"title":"An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms","authors":"Carmelo Clavero , Ram Shiromani","doi":"10.1016/j.camwa.2025.01.011","DOIUrl":"10.1016/j.camwa.2025.01.011","url":null,"abstract":"<div><div>In this work we are interested in constructing a uniformly convergent method to solve a 2D elliptic singularly perturbed weakly system of convection-diffusion type. We assume that small positive parameters appear at both the diffusion and the convection terms of the partial differential equation. Moreover, we suppose that both the diffusion and the convection parameters can be distinct and also they can have a different order of magnitude. Then, the nature of the overlapping regular or parabolic boundary layers, which, in general, appear in the exact solution, is much more complicated. To solve the continuous problem, we use the classical upwind finite difference scheme, which is defined on piecewise uniform Shishkin meshes, which are given in a different way depending on the value and the ratio between the four singular perturbation parameters which appear in the continuous problem. So, the numerical algorithm is an almost first order uniformly convergent method. The numerical results obtained with our algorithm for a test problem are presented; these results corroborate in practice the good behavior and the uniform convergence of the algorithm, aligning with the theoretical results.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"181 ","pages":"Pages 287-322"},"PeriodicalIF":2.9,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143020193","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 time-fractional optimal transport: Formulation and algorithm 时间分数最优运输：公式与算法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2025.01.009

Yiqun Li, Hong Wang, Wuchen Li

引用次数: 0

Fractional-order dependent Radial basis functions meshless methods for the integral fractional Laplacian 分数阶相关径向基函数的积分分数阶拉普拉斯的无网格方法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2024.11.027

Zhaopeng Hao , Zhiqiang Cai , Zhongqiang Zhang

引用次数: 0

An efficient high-order weak Galerkin finite element approach for Sobolev equation with variable matrix coefficients 变矩阵系数Sobolev方程的高效高阶弱Galerkin有限元法

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI: 10.1016/j.camwa.2025.01.013

Eric Ngondiep

{"title":"An efficient high-order weak Galerkin finite element approach for Sobolev equation with variable matrix coefficients","authors":"Eric Ngondiep","doi":"10.1016/j.camwa.2025.01.013","DOIUrl":"10.1016/j.camwa.2025.01.013","url":null,"abstract":"<div><div>This paper constructs a high-order weak Galerkin finite element method for solving a two-dimensional Sobolev equation with variable matrix coefficients subjects to initial and boundary conditions. The proposed approach approximates the exact solution in time using interpolation techniques whereas the space derivatives are approximated by weak forms through integration by parts. The new algorithm is unconditionally stable, temporal second order convergence and spatial accurate with convergence order <span><math><mi>O</mi><mo>(</mo><msup><mrow><mi>h</mi></mrow><mrow><mi>p</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>)</mo></math></span>, in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup><mo>(</mo><mn>0</mn><mo>,</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>f</mi></mrow></msub><mo>;</mo><mspace></mspace><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>)</mo></math></span>-norm, where <em>p</em> is a nonnegative integer and <em>h</em> represents the grid space. The developed computational scheme is faster and more efficient than a broad range of numerical methods deeply studied in the literature for solving Sobolev problems. Some numerical examples are carried out to confirm the theory and to investigate the performance and validity of the constructed high-order numerical scheme.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"180 ","pages":"Pages 279-298"},"PeriodicalIF":2.9,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143020194","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