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A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes 三角形网格上二次有限体积元格式的矫顽力结果
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2021-0311
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引用次数: 2
The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations 非线性变阶分数阶随机微分方程Euler Maruyama方法的收敛性
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2021-0222
Shanshan Xu, Lin Wang null, Wenqiang Wang
{"title":"The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations","authors":"Shanshan Xu, Lin Wang null, Wenqiang Wang","doi":"10.4208/aamm.oa-2021-0222","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0222","url":null,"abstract":". In this paper, we first prove the existence and uniqueness theorem of the solution of nonlinear variable-order fractional stochastic differential equations (VFS-DEs). We futher constructe the Euler-Maruyama method to solve the equations and prove the convergence in mean and the strong convergence of the method. In particular, when the fractional order is no longer varying, the conclusions obtained are consistent with the relevant conclusions in the existing literature. Finally, the numerical experiments at the end of the article verify the correctness of the theoretical results obtained.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45315773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Critical Transition Reynolds Number for the Incompressible Flat-plate Boundary Layer as Searched by Numerical Simulation 用数值模拟搜索不可压缩平板边界层临界跃迁雷诺数
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2020-0269
Yongming Zhang, Di Liu null, Ning Li
{"title":"Critical Transition Reynolds Number for the Incompressible Flat-plate Boundary Layer as Searched by Numerical Simulation","authors":"Yongming Zhang, Di Liu null, Ning Li","doi":"10.4208/aamm.oa-2020-0269","DOIUrl":"https://doi.org/10.4208/aamm.oa-2020-0269","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42281673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique 双曲守恒律的有限差分RBFWENO格式的形成：一种替代技术
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2021-0241
Rooholah Abedian null, M. Dehghan
{"title":"The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique","authors":"Rooholah Abedian null, M. Dehghan","doi":"10.4208/aamm.oa-2021-0241","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0241","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47887353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions 具有动态边界条件的Peng-Robinson状态方程的SAV有限元法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2021-0216
C. Yao, Zhaoyue Du null, Lei Yang
{"title":"SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions","authors":"C. Yao, Zhaoyue Du null, Lei Yang","doi":"10.4208/aamm.oa-2021-0216","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0216","url":null,"abstract":". In this paper, the Peng-Robinson equation of state with dynamic boundary conditions is discussed, which considers the interactions with solid walls. At first, the model is introduced and the regularization method on the nonlinear term is adopted. Next, The scalar auxiliary variable (SAV) method in temporal and finite element method in spatial are used to handle the Peng-Robinson equation of state. Then, the energy dissipation law of the numerical method is obtained. Also, we acquire the convergence of the discrete SAV finite element method (FEM). Finally, a numerical example is provided to confirm the theoretical result.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70495069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes 畸变网格扩散问题的保最大原则有限体积格式
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2022-0224
Dan Wu, Junliang Lv, Lei Lin null, Z. Sheng
{"title":"A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes","authors":"Dan Wu, Junliang Lv, Lei Lin null, Z. Sheng","doi":"10.4208/aamm.oa-2022-0224","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0224","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43656626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations 非线性耦合Klein-Gordon方程节能有限元法的无条件超收敛分析
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2021-0261
Ming Cui, Yanfei Li null, C. Yao
{"title":"Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations","authors":"Ming Cui, Yanfei Li null, C. Yao","doi":"10.4208/aamm.oa-2021-0261","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0261","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems Helmholtz问题的不连续Galerkin法斑块重构
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2022-0008
Di Li, Min Liu, Xiliang Lu null, J. Yang
{"title":"The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems","authors":"Di Li, Min Liu, Xiliang Lu null, J. Yang","doi":"10.4208/aamm.oa-2022-0008","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0008","url":null,"abstract":". This paper develops and analyzes interior penalty discontinuous Galerkin (IPDG) method by patch reconstruction technique for Helmholtz problems. The technique achieves high order approximation by locally solving a discrete least-squares over a neighboring element patch. We prove a prior error estimates in the L 2 norm and energy norm. For each fixed wave number k , the accuracy and efficiency of the method up to order five with high-order polynomials. Numerical examples are carried out to validate the theoretical results.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material 吸声材料汽车腔内声学分析基本解的局部化方法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2021-0197
Zengtao Chen null, Fajie Wang
{"title":"Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material","authors":"Zengtao Chen null, Fajie Wang","doi":"10.4208/aamm.oa-2021-0197","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0197","url":null,"abstract":". This paper documents the first attempt to apply a localized method of fundamental solutions (LMFS) to the acoustic analysis of car cavity containing sound-absorbing materials. The LMFS is a recently developed meshless approach with the merits of being mathematically simple, numerically accurate, and requiring less computer time and storage. Compared with the traditional method of fundamental solutions (MFS) with a full interpolation matrix, the LMFS can obtain a sparse banded linear algebraic system, and can circumvent the perplexing issue of fictitious boundary encountered in the MFS for complex solution domains. In the LMFS, only circular or spherical fictitious boundary is involved. Based on these advantages, the method can be regarded as a competitive alternative to the standard method, especially for high-dimensional and large-scale problems. Three benchmark numerical examples are provided to verify the effectiveness and performance of the present method for the solution of car cavity acoustic problems with impedance conditions.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45801638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations 非定常非线性波动方程的小波同伦Galerkin方法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI: 10.4208/aamm.oa-2022-0046
Yue Zhou null, Hang Xu
{"title":"A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations","authors":"Yue Zhou null, Hang Xu","doi":"10.4208/aamm.oa-2022-0046","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0046","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45139756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","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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