Computers & Mathematics with Applications最新文献_第2页

A second-order time-accurate, linear fully decoupled unconditional energy stabilization finite element method for tumor growth model 肿瘤生长模型的二阶时间精确、线性完全解耦无条件能量稳定有限元方法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-10-03 DOI: 10.1016/j.camwa.2025.09.028

Mingle Sun , Bo Wang , Guang-an Zou , Yuxing Zhang

引用次数: 0

Discontinuous Galerkin time-stepping method for semilinear parabolic problems with mild growth condition 半线性抛物型温和增长问题的不连续Galerkin时间步进法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-10-03 DOI: 10.1016/j.camwa.2025.09.035

Raksha Devi, Dwijendra Narain Pandey

引用次数: 0

High order energy invariant fast algorithm for space two dimensional Klein-Gordon-Zakharov equations 空间二维Klein-Gordon-Zakharov方程的高阶能量不变快速算法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-10-03 DOI: 10.1016/j.camwa.2025.09.026

Jie Chen , Jianqiang Sun

引用次数: 0

Analysis of the spectral harmonically enriched multiscale coarse space (SHEM) in 2D 二维谱富谐多尺度粗空间（SHEM）分析

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-09-30 DOI: 10.1016/j.camwa.2025.09.024

Martin J. Gander , Atle Loneland , Talal Rahman

{"title":"Analysis of the spectral harmonically enriched multiscale coarse space (SHEM) in 2D","authors":"Martin J. Gander , Atle Loneland , Talal Rahman","doi":"10.1016/j.camwa.2025.09.024","DOIUrl":"10.1016/j.camwa.2025.09.024","url":null,"abstract":"<div><div>The Spectral Harmonically Enriched Multiscale (SHEM) coarse space for domain decomposition methods was introduced as a cheaper alternative to GenEO (Generalized Eigenvalue Problems in the Overlap) with similar performance for high contrast problems. In SHEM, one enriches the coarse space with specific, cheaply computable coarse space components to get faster convergence for domain decomposition methods. For high contrast problems, this enrichment leads to robustness against variations and discontinuities in the problem parameters both inside subdomains and across and along subdomain boundaries. We present and analyze here SHEM in 2D based on simple, sparse lower dimensional eigenvalue problems on the interfaces between subdomains, and also a variant that performs equally well in practice, and does not require the solve of eigenvalue problems at all. Our enrichment process naturally reaches the Optimal Harmonically Enriched Multiscale coarse space (OHEM) represented by the full discrete harmonic space. We give a complete convergence analysis of SHEM in 2D, and also test both SHEM variants and OHEM numerically in 2D.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"200 ","pages":"Pages 243-259"},"PeriodicalIF":2.5,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222454","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

Morphological dynamics analysis on 3D surface using the Gray-Scott model 基于Gray-Scott模型的三维表面形态动力学分析

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-09-30 DOI: 10.1016/j.camwa.2025.09.023

Jian Wang , Yu Wang , Shanshan Ge , Ziwei Han , Maodong Pan

引用次数: 0

Stable sparse operator inference for nonlinear structural dynamics 非线性结构动力学的稳定稀疏算子推理

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-09-26 DOI: 10.1016/j.camwa.2025.09.017

Pascal den Boef , Diana Manvelyan-Stroot , Joseph Maubach , Wil Schilders , Nathan van de Wouw

{"title":"Stable sparse operator inference for nonlinear structural dynamics","authors":"Pascal den Boef , Diana Manvelyan-Stroot , Joseph Maubach , Wil Schilders , Nathan van de Wouw","doi":"10.1016/j.camwa.2025.09.017","DOIUrl":"10.1016/j.camwa.2025.09.017","url":null,"abstract":"<div><div>Structural dynamics models with nonlinear stiffness appear, for example, when analyzing systems with nonlinear material behavior or undergoing large deformations. For complex systems, these models become too large for real-time applications or multi-query workflows. Hence, model reduction is needed. However, the mathematical operators of these models are often not available since, as is common in industry practice, the models are constructed using commercial simulation software. In this work, we propose an operator inference-based approach aimed at inferring, from data generated by the simulation model, reduced-order models (ROMs) of structural dynamics systems with stiffness terms represented by polynomials of arbitrary degree. To ensure physically meaningful models, we impose constraints on the inference such that the model is guaranteed to exhibit stability properties. Convexity of the optimization problem associated with the inference is maintained by applying a sum-of-squares relaxation to the polynomial term. To further reduce the size of the ROM and improve numerical conditioning of the inference, we also propose a novel clustering-based sparsification of the polynomial term. We validate the proposed method on several numerical examples, including a representative 3D Finite Element Model (FEM) of a steel piston rod.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"200 ","pages":"Pages 228-242"},"PeriodicalIF":2.5,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160174","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 easy to implement numerical framework for a cancer invasion mathematical model with two distinct cancer sub-populations 一个易于实现的具有两个不同癌症亚群的癌症侵袭数学模型的数值框架

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-09-25 DOI: 10.1016/j.camwa.2025.09.011

Yadhavan Karuppusamy , Lingeshwaran Shangerganesh , Sally Mohammed Farghaly Abdelaliem , A.S. Hendy

引用次数: 0

A data-driven algorithm for solving image despeckling PDE model using physics-informed ConvNet 基于物理信息的卷积神经网络求解图像去斑PDE模型的数据驱动算法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-09-25 DOI: 10.1016/j.camwa.2025.09.022

Haridarshan Kumar , Sanjeev Kumar

{"title":"A data-driven algorithm for solving image despeckling PDE model using physics-informed ConvNet","authors":"Haridarshan Kumar , Sanjeev Kumar","doi":"10.1016/j.camwa.2025.09.022","DOIUrl":"10.1016/j.camwa.2025.09.022","url":null,"abstract":"<div><div>In this study, we propose a new data-driven algorithm for the Perona-Malik image despeckling problem. The advantage of the proposed algorithm over neural network-based methods is that it does not need any noisy and clean image data pair for training. The proposed algorithm is implemented using a three-dimensional convolution neural network (ConvNet) architecture. We compare its output with results obtained from several existing methods, including the operator splitting RBF collocation method, the finite difference method (FDM), and physics-informed neural networks (PINNs). To evaluate the performance of the proposed algorithm, simulations are carried out using grayscale images that have been artificially corrupted with different levels of speckle noise. Using the peak signal to noise ratio (PSNR) and structural similarity index measure (SSIM) as the evaluation metric, we observed that the proposed algorithm outperforms these existing methods, demonstrating superior image quality with the same numerical scheme and the same discretization. To the best of our knowledge, this work represents the first application of physics-inspired convolutional neural network for PDE-based image despeckling model.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"200 ","pages":"Pages 202-227"},"PeriodicalIF":2.5,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160176","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 pressure-robust lowest-order virtual element method for the natural convection problem on general mesh 一般网格自然对流问题的压力鲁棒性最低阶虚元法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-09-23 DOI: 10.1016/j.camwa.2025.09.010

Sisi Liang, Haiyan Su, Xinlong Feng

{"title":"A pressure-robust lowest-order virtual element method for the natural convection problem on general mesh","authors":"Sisi Liang, Haiyan Su, Xinlong Feng","doi":"10.1016/j.camwa.2025.09.010","DOIUrl":"10.1016/j.camwa.2025.09.010","url":null,"abstract":"<div><div>In this article, our focus lies on the natural convection model, which is formulated by coupling the incompressible Navier-Stokes equations with the heat equation. However, the traditional mixed finite element method applied to the incompressible Navier-Stokes equations has certain limitations: it tends to relax the divergence constraint, resulting in a lack of sufficient robustness when dealing with large irrotational forces in momentum balance, and the velocity errors inherent in those methods are often closely related to the continuous pressure, which in turn further compromise numerical accuracy. To address these issues, we propose a pressure-robust lowest-order mixed virtual element method for natural convection problem on general mesh. We employed a <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-conforming virtual element space which can provide a point-wise discrete divergence-free velocity, and through the reconstruction of velocity test function and compatibility with the Helmholtz-Hodge decomposition, the influence of continuous pressure on velocity field is eliminated and the numerical oscillations caused by large irrotational body force term in momentum balance are overcome. We rigorously prove the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-error estimates for the velocity and temperature fields, as well as the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-error estimate for the pressure field. We then conduct numerical experiments to verify the accuracy of the theory and the effectiveness of our proposed method.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"197 ","pages":"Pages 295-316"},"PeriodicalIF":2.5,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145121264","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 bound-preserving scheme for the Allen–Cahn equation Allen-Cahn方程的保界格式

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-09-23 DOI: 10.1016/j.camwa.2025.09.025

Zhaonan Dong , Alexandre Ern , Zuodong Wang

引用次数: 0