Computers & Mathematics with Applications最新文献

A new isogeometric refined plate theory with optimization-guided transverse shear modeling for bending and free vibration of laminated and sandwich plates 基于优化导向横向剪切模型的层合板和夹层板弯曲和自由振动等几何精细化板理论

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2026-10-01 DOI: 10.1016/j.camwa.2026.08.020

Tien Long-Le,Hoang-Le Minh,Thanh Cuong-Le

引用次数: 0

A hybrid 1D-3D fractional transport and non-Fourier bioheat model for hyperthermia enhanced drug delivery in cerebral microcirculation 用于热疗的混合1D-3D分数转运和非傅立叶生物热模型增强了脑微循环中的药物传递

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2026-10-01 DOI: 10.1016/j.camwa.2026.08.024

Parul Tiwari,B Wiwatanapataphee

引用次数: 0

An rp NIPG-FEM for a singularly perturbed reaction-convection-diffusion boundary value problem with two small parameters 双小参数奇摄动反应-对流-扩散边值问题的rp - NIPG-FEM

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2026-10-01 DOI: 10.1016/j.camwa.2026.08.019

Christos Xenophontos,Neofytos Neofytou

引用次数: 0

Numerical analysis of a nonlinear temperature enhanced diffusion model for drug delivery 药物传递非线性温度增强扩散模型的数值分析

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2026-09-01 DOI: 10.1016/j.camwa.2026.08.021

Pedro Antunes, Elias Gudiño, José A. Ferreira

引用次数: 0

Analysis and simulation of the Cohen-Monk perfectly matched layer model Cohen-Monk完美匹配层模型的分析与模拟

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2026-08-31 DOI: 10.1016/j.camwa.2026.08.022

Haoke Zhao, Jichun Li

引用次数: 0

Optimal L2 error estimates for a fully discrete method of the Cahn-Hilliard-MHD model Cahn-Hilliard-MHD模型的全离散方法的最优L2误差估计

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-15 Epub Date: 2026-03-03 DOI: 10.1016/j.camwa.2026.02.019

Dongmei Duan , Fuzheng Gao , Xiaoming He , Yanping Lin

{"title":"Optimal L2 error estimates for a fully discrete method of the Cahn-Hilliard-MHD model","authors":"Dongmei Duan , Fuzheng Gao , Xiaoming He , Yanping Lin","doi":"10.1016/j.camwa.2026.02.019","DOIUrl":"10.1016/j.camwa.2026.02.019","url":null,"abstract":"<div><div>This paper carries out the optimal <em>L</em><sup>2</sup> error estimation for a fully discrete method, which was proposed in [J. Sci. Comput., 95(1):16, 2023] for the Cahn-Hilliard-MHD model with constant coefficients. Compared with the original scheme, we adopt weaker regularity requirement for the finite element space of the discrete phase field. To obtain the optimal convergence order, <span><math><msup><mi>H</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>-superconvergence error estimates of Ritz projection and Ritz quasi-projection are employed. The <em>H</em><sup>1</sup> semi-norm and <em>L</em><sup>2</sup> norm terms of the phase-field system, arising from the <span><math><mrow><msup><mi>H</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mspace></mspace><mo>−</mo><mspace></mspace><msup><mi>H</mi><mn>1</mn></msup></mrow></math></span> norm pair, are estimated by two sets of test functions. Furthermore, the first-order differential operator induces a loss of convergence rate in the projection error terms. Hence Ritz quasi-projection and Stokes quasi-projection, incorporating the above terms, are adopted from [SIAM J. Numer. Anal.,61(3):1218-1245, 2023]. Additionally, operator transfer based on Green’s formula provides an alternative strategy. We also carry out numerical examples to validate the numerical scheme.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"210 ","pages":"Pages 43-59"},"PeriodicalIF":2.5,"publicationDate":"2026-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147359875","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

Least square finite volume particle method for solving PDEs 求解偏微分方程的最小二乘有限体积粒子法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-15 Epub Date: 2026-03-05 DOI: 10.1016/j.camwa.2026.02.020

Zhen Zhang, Xiaoxing Liu

引用次数: 0

Robust augmented mixed FEMs for stokes interface problems with discontinuous viscosity in multiple subdomains 多子域不连续黏度stokes界面问题的鲁棒增广混合fem

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-15 Epub Date: 2026-03-03 DOI: 10.1016/j.camwa.2026.02.016

Yuxiang Liang , Shun Zhang

{"title":"Robust augmented mixed FEMs for stokes interface problems with discontinuous viscosity in multiple subdomains","authors":"Yuxiang Liang , Shun Zhang","doi":"10.1016/j.camwa.2026.02.016","DOIUrl":"10.1016/j.camwa.2026.02.016","url":null,"abstract":"<div><div>A stationary Stokes problem with a piecewise constant viscosity coefficient with several subdomains is considered in the paper. For standard finite element pairs, a robust inf-sup condition is required to show the robustness of the discretization error with respect to the discontinuous viscosity, which has only been proven for the two-subdomain case in the paper [Numer. Math. (2006) 103: 129–149]. To avoid the robust inf-sup condition of a discrete finite element pair for multiple subdomains, we propose an ultra-weak augmented mixed finite element formulation. By adopting a Galerkin-least-squares method, the augmented mixed formulation can achieve stability without relying on the inf-sup condition in both continuous and discrete settings. The key step to have the robust a priori error estimate is that two norms, one energy norm and one full norm, are used in the robust continuity. The robust coercivity is proved for the energy norm. A robust a priori error estimate in the energy norm is then derived with the best approximation property in the full norm for the case of multiple subdomains. Additionally, the paper introduces a singular Kellogg-type example with exact solutions for the first time. Extensive numerical tests are conducted to validate the robust error estimate.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"210 ","pages":"Pages 25-42"},"PeriodicalIF":2.5,"publicationDate":"2026-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147359876","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

Some new convergence analysis and applications of POD-Greedy algorithms POD-Greedy算法的一些新的收敛性分析及应用

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-15 Epub Date: 2026-03-09 DOI: 10.1016/j.camwa.2026.02.007

Yuwen Li, Yupeng Wang

引用次数: 0

Isogeometric collocation with smooth mixed degree splines over planar multi-patch domains 平面多斑块域上光滑混合度样条的等几何配置

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-15 Epub Date: 2026-03-04 DOI: 10.1016/j.camwa.2026.02.017

Mario Kapl , Aljaž Kosmač , Vito Vitrih

{"title":"Isogeometric collocation with smooth mixed degree splines over planar multi-patch domains","authors":"Mario Kapl , Aljaž Kosmač , Vito Vitrih","doi":"10.1016/j.camwa.2026.02.017","DOIUrl":"10.1016/j.camwa.2026.02.017","url":null,"abstract":"<div><div>We present a novel isogeometric collocation method for solving the Poisson’s and the biharmonic equation over planar bilinearly parameterized multi-patch geometries. The proposed approach relies on the use of a modified construction of the <em>C<sup>s</sup></em>-smooth mixed degree isogeometric spline space [1] for <span><math><mrow><mi>s</mi><mo>=</mo><mn>2</mn></mrow></math></span> and <span><math><mrow><mi>s</mi><mo>=</mo><mn>4</mn></mrow></math></span> in case of the Poisson’s and the biharmonic equation, respectively. The adapted spline space possesses the minimal possible degree <span><math><mrow><mi>p</mi><mo>=</mo><mi>s</mi><mo>+</mo><mn>1</mn></mrow></math></span> everywhere on the multi-patch domain except in a small neighborhood of the inner edges and of the vertices of patch valency greater than one where a degree <span><math><mrow><mi>p</mi><mo>=</mo><mn>2</mn><mi>s</mi><mo>+</mo><mn>1</mn></mrow></math></span> is required. This allows to solve the PDEs with a much lower number of degrees of freedom compared to employing the <em>C<sup>s</sup></em>-smooth spline space [2] with the same high degree <span><math><mrow><mi>p</mi><mo>=</mo><mn>2</mn><mi>s</mi><mo>+</mo><mn>1</mn></mrow></math></span> everywhere. To perform isogeometric collocation with the smooth mixed degree spline functions, we introduce and study two different sets of collocation points, namely first a generalization of the standard Greville points to the set of mixed degree Greville points and second the so-called mixed degree superconvergent points. The collocation method is further extended to the class of bilinear-like <em>G<sup>s</sup></em> multi-patch parameterizations [3], which enables the modeling of multi-patch domains with curved boundaries, and is finally tested on the basis of several numerical examples.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"210 ","pages":"Pages 89-112"},"PeriodicalIF":2.5,"publicationDate":"2026-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147359869","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