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

Hygro-thermo-mechanical-electro coupling inhomogeneous isogeometric analysis of functionally graded piezoelectric structures under hygrothermal environment 湿热环境下功能梯度压电结构的水热机电耦合非均匀等几何分析

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-22 DOI: 10.1016/j.camwa.2025.12.002

Zhong Zhang, Bo Cui, Pengxu Chen, Liming Zhou, Yue Wu

{"title":"Hygro-thermo-mechanical-electro coupling inhomogeneous isogeometric analysis of functionally graded piezoelectric structures under hygrothermal environment","authors":"Zhong Zhang, Bo Cui, Pengxu Chen, Liming Zhou, Yue Wu","doi":"10.1016/j.camwa.2025.12.002","DOIUrl":"10.1016/j.camwa.2025.12.002","url":null,"abstract":"<div><div>The functionally graded piezoelectric structure (FGPS) is one of the core structures for the design and development of new intelligent components, and has excellent piezoelectric effect and gradient distribution characteristics. Since FGPS has a complex structure and often operates in complex environments, it is essential to propose an efficient algorithm for solving the multi-physics coupling problem of FGPS. Based on the structural characteristics of FGPS, this study introduces NURBS basis functions, proposes hygro-thermo-mechanical-electro coupling inhomogeneous isogeometric analysis (HTMEI-IGA) combining the constitutive equations and boundary conditions of FGPS, and derives the control equations and motion equations of HTMEI-IGA. The free vibration, transient response and harmonic response of FGPS in the hygrothermal field are solved using the subspace iteration method and the Newmark method. The convergence and accuracy of HTMEI-IGA are verified through multiple numerical examples. The influence of exponential factors, moisture and thermal on the FGPS structure is also studied, providing a new means for design and development of FGPS.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"204 ","pages":"Pages 71-96"},"PeriodicalIF":2.5,"publicationDate":"2026-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145813853","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

Nonconforming finite element method and reduced order algorithm for poroelasticity problem 孔隙弹性问题的非协调有限元法及降阶算法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2026-01-01 DOI: 10.1016/j.camwa.2025.12.022

Xue Wang , Hongxing Rui , Xiaozhe Hu

引用次数: 0

Unconditionally energy-stable and accurate schemes based on hyperbolic tangent scalar auxiliary variable approach for gradient flows 基于双曲正切标量辅助变量方法的梯度流无条件能量稳定精确格式

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2026-01-14 DOI: 10.1016/j.camwa.2025.12.031

Haihong Zhou , Huan Zhang , Xiaomin Pan

{"title":"Unconditionally energy-stable and accurate schemes based on hyperbolic tangent scalar auxiliary variable approach for gradient flows","authors":"Haihong Zhou , Huan Zhang , Xiaomin Pan","doi":"10.1016/j.camwa.2025.12.031","DOIUrl":"10.1016/j.camwa.2025.12.031","url":null,"abstract":"<div><div>In this paper, we extend the selection of auxiliary variables by proposing a hyperbolic tangent scalar auxiliary variable (tanh-SAV) approach for solving gradient flows. The proposed tanh-SAV schemes introduce an auxiliary variable based on the hyperbolic tangent function, providing a well-defined formulation that enables the construction of decoupled, linear, and efficient numerical schemes. We demonstrate the construction of first-order, second-order, and higher-order unconditionally energy-stable schemes, utilizing either the Crank–Nicolson method or a <em>k</em>-step backward differentiation formula for time discretization. Only one constant-coefficient equation needs to be solved per time step, and we prove that all resulting tanh-SAV schemes are uniquely solvable at each time level. Furthermore, the theoretical analysis demonstrates the discrete energy stability of the proposed numerical schemes and proves the positivity property of the auxiliary variable. For the tanh-SAV/BDF<em>k</em> schemes (<span><math><mrow><mi>k</mi><mo>=</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn></mrow></math></span>) combined with a Fourier pseudo-spectral spatial discretization, we further establish fully discrete optimal-order error estimates. In addition, we provide numerical simulations of one- and two-dimensional Cahn–Hilliard, Allen–Cahn, and phase-field crystal models. The results demonstrate that, consistent with the theoretical analysis, the proposed schemes preserve the positivity of the auxiliary variable, maintain excellent stability, and achieve the desired temporal accuracy.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"204 ","pages":"Pages 263-282"},"PeriodicalIF":2.5,"publicationDate":"2026-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145977942","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

Image restoration strategy stimulated level set model for segmenting images with strongly disturbance information 图像恢复策略刺激水平集模型对具有强干扰信息的图像进行分割

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-24 DOI: 10.1016/j.camwa.2025.11.023

Yanjun Ren , Dong Li , Liming Tang

{"title":"Image restoration strategy stimulated level set model for segmenting images with strongly disturbance information","authors":"Yanjun Ren , Dong Li , Liming Tang","doi":"10.1016/j.camwa.2025.11.023","DOIUrl":"10.1016/j.camwa.2025.11.023","url":null,"abstract":"<div><div>In order to solve the problems of pixel misclassification, boundary leakage and unstable segmentation model encountered by the traditional level set method when dealing with images with strong disturbance information, this paper introduces a new energy functional based on a global-like global fitting term and a variational denoising term into variational level set framework, which not only significantly improves the segmentation of severe intensity inhomogeneous images and effectively realizes the denoising and deblurring process of images. Specifically, we utilize fitting term constructed with global and global-like information to reduce the sensitivity of the traditional level set method to intensity inhomogeneity. At the same time, we introduce a bounded Hessian variational restoration term to effectively suppressing the undesirable effects of strong noise, staircase artifacts, and blurring on segmentation. Moreover, a new edge indicator function was designed to enhance the model’s robustness to weak boundaries of the images. Experimental results on classical datasets demonstrate that our model exhibits significant advantages in noise suppression and edge preservation compared to existing state-of-the-art level set methods. The robustness and scalability of the model make it suitable for a wide range of image segmentation scenarios.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"204 ","pages":"Pages 123-139"},"PeriodicalIF":2.5,"publicationDate":"2026-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145822950","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

Analytic regularity of strong solutions for the complexified stochastic nonlinear Poisson-Boltzmann equation 复变随机非线性泊松-玻尔兹曼方程强解的解析正则性

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-22 DOI: 10.1016/j.camwa.2025.12.003

Brian Choi, Jie Xu, Trevor Norton, Mark Kon, Julio E. Castrillón-Candás

{"title":"Analytic regularity of strong solutions for the complexified stochastic nonlinear Poisson-Boltzmann equation","authors":"Brian Choi, Jie Xu, Trevor Norton, Mark Kon, Julio E. Castrillón-Candás","doi":"10.1016/j.camwa.2025.12.003","DOIUrl":"10.1016/j.camwa.2025.12.003","url":null,"abstract":"<div><div>The nonlinear Poisson-Boltzmann equation (nPBE) is a fundamental partial differential equation (PDE) in electrostatics, widely used in computational biology and chemistry to model potential fields in solvents or plasmas. In this paper, we consider the problem of quantifying the statistical uncertainty of the stochastic nPBE solution under random variations in its coefficients. We establish the existence and uniqueness of solutions of the complexified nPBE using a contraction mapping argument, as conventional convex optimization techniques for the real-valued nPBE do not naturally extend to the complex setting. Using the existence and uniqueness result, we demonstrate that the solutions admit analytic extensions over a well-defined region in the complex hyperplane The analyticity makes the computation for statistics of real-valued quantities of interest amenable to numerical techniques such as sparse grids. Sparse grids are applied to uniformly approximate analytic functions with algebraic to sub-exponential error with respect to the number of knots, thus allowing for efficient approximations of high-dimensional integrals. Our numerical experiments confirm the predicted error behavior.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"204 ","pages":"Pages 97-122"},"PeriodicalIF":2.5,"publicationDate":"2026-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145822955","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 linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach 基于SAV方法的Ericksen-Leslie模型线性、无条件稳定、二阶解耦方法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-21 DOI: 10.1016/j.camwa.2025.11.018

Ruonan Cao , Nianyu Yi

引用次数: 0

Nonlocal multiplicative denoising method based on variational approach and topological shape optimization 基于变分方法和拓扑形状优化的非局部乘法去噪方法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-15 DOI: 10.1016/j.camwa.2025.11.024

El Hadji S. Diop

引用次数: 0

Efficient prediction of phase-field crystal dynamics via β-variational autoencoders and time-series transformers on coupled physical fields 利用β变分自编码器和时间序列变压器在耦合物理场上有效预测相场晶体动力学

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-31 DOI: 10.1016/j.camwa.2025.12.024

Zhixian Lv , Jiahao Huang , Chengyang Yue , Junseok Kim , Yibao Li

{"title":"Efficient prediction of phase-field crystal dynamics via β-variational autoencoders and time-series transformers on coupled physical fields","authors":"Zhixian Lv , Jiahao Huang , Chengyang Yue , Junseok Kim , Yibao Li","doi":"10.1016/j.camwa.2025.12.024","DOIUrl":"10.1016/j.camwa.2025.12.024","url":null,"abstract":"<div><div>Dendritic crystal growth is a complex phenomenon that has traditionally required high-fidelity simulations, which are computationally expensive. This study introduces a data-driven reduced-order modeling framework for efficient prediction of dendritic crystal growth. A <em>β</em>-variational autoencoder is utilized to compress coupled physical fields into a compact latent space. We systematically evaluate the impact of the regularization parameter and latent dimensionality on reconstruction accuracy. The trained encoder-decoder pair is integrated into an end-to-end time-series forecasting framework, where multiple representative models are employed to predict future latent dynamics. We investigate the influence of input sequence length and prediction horizon on forecasting accuracy, as well as the inference efficiency of the different models. Numerical experiments on a phase-field crystal growth dataset demonstrate that the proposed approach achieves high reconstruction fidelity, robust predictive performance, and significant reduction in computational cost. This offers a practical solution for fast modeling and multi-scale dynamics prediction in complex physical systems.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"204 ","pages":"Pages 198-215"},"PeriodicalIF":2.5,"publicationDate":"2026-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884878","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

New highly efficient and accurate numerical scheme for the Cahn-Hilliard-Brinkman system 新的高效精确的Cahn-Hilliard-Brinkman系统数值格式

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-29 DOI: 10.1016/j.camwa.2025.12.016

Dawei Chen, Qinzhen Ren, Minghui Li

引用次数: 0

An efficient hybrid Fourier KAN-SepONet solver for the high-frequency Helmholtz equation and convergence analysis 高频亥姆霍兹方程的高效混合傅里叶KAN-SepONet求解器及收敛性分析

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-02-15 Epub Date: 2025-12-29 DOI: 10.1016/j.camwa.2025.12.006

Rui Zhang , Yu Gao

引用次数: 0