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Multirate Time Iterative Scheme with Multiphysics Finite Element Method For a Nonlinear Poroelasticity 非线性多孔弹性体的多重物理有限元多速率时间迭代格式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-04-01 DOI: 10.4208/jcm.2207-m2021-0373
Zhi-hao Ge, Hairun Li and Tingting Li null
{"title":"Multirate Time Iterative Scheme with Multiphysics Finite Element Method For a Nonlinear Poroelasticity","authors":"Zhi-hao Ge, Hairun Li and Tingting Li null","doi":"10.4208/jcm.2207-m2021-0373","DOIUrl":"https://doi.org/10.4208/jcm.2207-m2021-0373","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44868346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Uniform Superconvergence Analysis of A Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors 两网格混合有限元法求解$D$-波超导体的时变双波问题的一致超收敛性分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2203-m2021-0058
Yan Shi
{"title":"Uniform Superconvergence Analysis of A Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors","authors":"Yan Shi","doi":"10.4208/jcm.2203-m2021-0058","DOIUrl":"https://doi.org/10.4208/jcm.2203-m2021-0058","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47912303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven By Additive White Noises 加性白噪声驱动下随机线性二阶边值问题的一种有效的有限差分方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2205-m2021-0346
Mahboub Baccouch
{"title":"An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven By Additive White Noises","authors":"Mahboub Baccouch","doi":"10.4208/jcm.2205-m2021-0346","DOIUrl":"https://doi.org/10.4208/jcm.2205-m2021-0346","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48509329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation 广义非线性Schrödinger方程的VEMs的无条件误差分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2207-m2022-0055
Meng Li, Jikun Chen
{"title":"Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation","authors":"Meng Li, Jikun Chen","doi":"10.4208/jcm.2207-m2022-0055","DOIUrl":"https://doi.org/10.4208/jcm.2207-m2022-0055","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47505205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions 具有动态边界条件的Cahn-Hilliard-Hele-Shaw系统的标量辅助变量（SAV）有限元数值格式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2205-m2021-0234
C. Yao, Feng Wang
{"title":"A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions","authors":"C. Yao, Feng Wang","doi":"10.4208/jcm.2205-m2021-0234","DOIUrl":"https://doi.org/10.4208/jcm.2205-m2021-0234","url":null,"abstract":"In this paper, we consider the Cahn-Hilliard-Hele-Shaw (CHHS) system with the dynamic boundary conditions, in which both the bulk and surface energy parts play important roles. The scalar auxiliary variable (SAV) approach is introduced for the physical system; the mass conservation and energy dissipation is proved for the CHHS system. Subsequently, a fully discrete SAV finite element scheme is proposed, with the mass conservation and energy dissipation laws established at a theoretical level. In addition, the convergence analysis and error estimate is provided for the proposed SAV numerical scheme.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46466936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation Riesz空间分数阶反应-色散方程的带状$M$-矩阵分裂预条件
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2203-m2020-0192
Shiping Tang, Aili Yang and Yujiang Wu
{"title":"Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation","authors":"Shiping Tang, Aili Yang and Yujiang Wu","doi":"10.4208/jcm.2203-m2020-0192","DOIUrl":"https://doi.org/10.4208/jcm.2203-m2020-0192","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42886423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels 弱奇异核分数阶Volterra积分微分方程的广义Jacobi谱Galerkin方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2209-m2022-0129
Yanping Chen, Zhenrong Huang
{"title":"Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels","authors":"Yanping Chen, Zhenrong Huang","doi":"10.4208/jcm.2209-m2022-0129","DOIUrl":"https://doi.org/10.4208/jcm.2209-m2022-0129","url":null,"abstract":"For fractional Volterra integro-differential equations (FVIDEs) with weakly singular kernels, this paper proposes a generalized Jacobi spectral Galerkin method. The basis functions for the provided method are selected generalized Jacobi functions (GJFs), which can be utilized as natural basis functions of spectral methods for weakly singular FVIDEs when appropriately constructed. The developed method’s spectral rate of convergence is determined using the L ∞ -norm and the weighted L 2 -norm. Numerical results indicate the usefulness of the proposed method.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46969426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method 基于Huber正则化和定制有限点法的图像超分辨率重建
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2201-m2021-0287
Wenli Yang, Zhongyi Huang and Wei Zhu
{"title":"Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method","authors":"Wenli Yang, Zhongyi Huang and Wei Zhu","doi":"10.4208/jcm.2201-m2021-0287","DOIUrl":"https://doi.org/10.4208/jcm.2201-m2021-0287","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48081034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Graph Sparsification by Universal Greedy Algorithms 通用贪婪算法的图稀疏化
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2201-m2021-0130
M. Lai, Jiaxin Xie and Zhiqiang Xu
{"title":"Graph Sparsification by Universal Greedy Algorithms","authors":"M. Lai, Jiaxin Xie and Zhiqiang Xu","doi":"10.4208/jcm.2201-m2021-0130","DOIUrl":"https://doi.org/10.4208/jcm.2201-m2021-0130","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47778750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space Banach空间中非线性耗散演化方程的步长相关线性多步方法的稳定性和收敛性
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2207-m2021-0064
Wansheng Wang
{"title":"Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space","authors":"Wansheng Wang","doi":"10.4208/jcm.2207-m2021-0064","DOIUrl":"https://doi.org/10.4208/jcm.2207-m2021-0064","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45779824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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