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Advances in Applied Mathematics and Mechanics最新文献

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Three Indication Variables and Their Performance for the Troubled-Cell Indicator using K-Means Clustering 用k -均值聚类分析故障单元指示器的三个指示变量及其性能
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0234
Zhihuan Wang, Zhen-Zhuo Gao, Hai-yun Wang, Qiang Zhang null, Hongqiang Zhu
{"title":"Three Indication Variables and Their Performance for the Troubled-Cell Indicator using K-Means Clustering","authors":"Zhihuan Wang, Zhen-Zhuo Gao, Hai-yun Wang, Qiang Zhang null, Hongqiang Zhu","doi":"10.4208/aamm.oa-2021-0234","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0234","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494645","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
Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity 具有不确定导热系数的非均质固体传热问题的多模态多尺度方法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2022-0048
Shan Zhang, Zihao Yang null, X. Guan
{"title":"Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity","authors":"Shan Zhang, Zihao Yang null, X. Guan","doi":"10.4208/aamm.oa-2022-0048","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0048","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494793","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
A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties 具有温度相关物理性质的FGM圆柱壳的二维热弹性分析
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0282
H. Panahi-Kalus, Amin Moosaie null, M. Ahmadinejad
{"title":"A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties","authors":"H. Panahi-Kalus, Amin Moosaie null, M. Ahmadinejad","doi":"10.4208/aamm.oa-2021-0282","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0282","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494927","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
Deep Domain Decomposition Methods: Helmholtz Equation 深度域分解方法:亥姆霍兹方程
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0305
Wuyang Li, Ziming Wang, Tao Cui, Yingxiang Xu null, Xueshuang Xiang
{"title":"Deep Domain Decomposition Methods: Helmholtz Equation","authors":"Wuyang Li, Ziming Wang, Tao Cui, Yingxiang Xu null, Xueshuang Xiang","doi":"10.4208/aamm.oa-2021-0305","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0305","url":null,"abstract":". This paper proposes a deep-learning-based Robin-Robin domain decomposition method (DeepDDM) for Helmholtz equations. We first present the plane wave activation-based neural network (PWNN), which is more efficient for solving Helmholtz equations with constant coefficients and wavenumber k than finite difference methods (FDM). On this basis, we use PWNN to discretize the subproblems divided by domain decomposition methods (DDM), which is the main idea of DeepDDM. This paper will investigate the number of iterations of using DeepDDM for continuous and discontinuous Helmholtz equations. The results demonstrate that: DeepDDM exhibits behaviors consistent with conventional robust FDM-based domain decomposition method (FDM-DDM) under the same Robin parameters, i.e., the number of iterations by DeepDDM is almost the same as that of FDM-DDM. By choosing suitable Robin parameters on different subdomains, the convergence rate is almost constant with the rise of wavenumber in both continuous and discontinuous cases. The performance of DeepDDM on Helmholtz equations may provide new insights for improving the PDE solver by deep learning.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494959","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
Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition 具有高分辨率边界条件的可压缩流体径向对称问题
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0340
Zijin Zhu, Xiaoyan Hu null, Guoxi Ni
{"title":"Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition","authors":"Zijin Zhu, Xiaoyan Hu null, Guoxi Ni","doi":"10.4208/aamm.oa-2021-0340","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0340","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70495102","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
A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation 非线性Schrödinger方程的保守SAV-RRK有限元法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0255
Jun Yang null, Nianyu Yi
{"title":"A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation","authors":"Jun Yang null, Nianyu Yi","doi":"10.4208/aamm.oa-2021-0255","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0255","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494765","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
Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection 无斜率选择薄膜外延问题的半离散局部不连续伽辽金法和指数差分格式的最优误差估计
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0204
Danni Zhang null, Ruihan Guo
{"title":"Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection","authors":"Danni Zhang null, Ruihan Guo","doi":"10.4208/aamm.oa-2021-0204","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0204","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494407","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
Finite-Time Stability and Instability of Nonlinear Impulsive Systems 非线性脉冲系统的有限时间稳定性和不稳定性
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0381
Guihua Zhao null, Hui Liang
{"title":"Finite-Time Stability and Instability of Nonlinear Impulsive Systems","authors":"Guihua Zhao null, Hui Liang","doi":"10.4208/aamm.oa-2021-0381","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0381","url":null,"abstract":". In this paper, the finite-time stability and instability are studied for nonlinear impulsive systems. There are mainly four concerns. 1) For the system with stabilizing impulses, a Lyapunov theorem on global finite-time stability is presented. 2) When the system without impulsive effects is globally finite-time stable (GFTS) and the settling time is continuous at the origin, it is proved that it is still GFTS over any class of impulse sequences, if the mixed impulsive jumps satisfy some mild conditions. 3) For systems with destabilizing impulses, it is shown that to be finite-time stable, the destabilizing impulses should not occur too frequently, otherwise, the origin of the impulsive system is finite-time instable, which are formulated by average dwell time (ADT) conditions respectively. 4) A theorem on finite-time instability is provided for system with stabilizing impulses. For each GFTS theorem of impulsive systems con-sidered in this paper, the upper boundedness of settling time is given, which depends on the initial value and impulsive effects. Some numerical examples are given to illus-trate the theoretical analysis.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494747","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: 2
Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative 具有时间-空间耦合导数的多项混合次扩散和扩散波方程的非协调混合有限元分析
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0263
Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi null, C. Yao
{"title":"Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative","authors":"Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi null, C. Yao","doi":"10.4208/aamm.oa-2021-0263","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0263","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494825","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
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation 保守性Allen-Cahn方程的四阶保结构方法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI: 10.4208/aamm.oa-2021-0325
Xiaowei Chen, Xu Qian null, Songhe Song
{"title":"Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation","authors":"Xiaowei Chen, Xu Qian null, Songhe Song","doi":"10.4208/aamm.oa-2021-0325","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0325","url":null,"abstract":". We propose a class of up to fourth-order maximum-principle-preserving and mass-conserving schemes for the conservative Allen-Cahn equation equipped with a non-local Lagrange multiplier. Based on the second-order finite-difference semi-discretization in the spatial direction, the integrating factor Runge-Kutta schemes are applied in the temporal direction. Theoretical analysis indicates that the proposed schemes conserve mass and preserve the maximum principle under reasonable time step-size restriction, which is independent of the space step size. Finally, the theoretical analysis is verified by several numerical examples.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70495022","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
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