发布求助
文献互助 智能选刊 最新文献

Advances in Applied Mathematics and Mechanics最新文献

筛选
英文 中文
A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations 定常不可压磁流体力学方程的有限元变分多尺度方法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-05-01 DOI: 10.4208/aamm.oa-2022-0200
Huayi Huang, Yuping Tang
{"title":"A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations","authors":"Huayi Huang, Yuping Tang","doi":"10.4208/aamm.oa-2022-0200","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0200","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45761226","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 Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection 带坡度选择的分子束外延生长模型的Hessian恢复线性有限元法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2021-0193
{"title":"A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection","authors":"","doi":"10.4208/aamm.oa-2021-0193","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0193","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41470305","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: 3
Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm 用迭代正则化算法重建准线性吸收动力学模型中的吸收函数
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2023-0020
A. Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin and Ye Zhang
{"title":"Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm","authors":"A. Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin and Ye Zhang","doi":"10.4208/aamm.oa-2023-0020","DOIUrl":"https://doi.org/10.4208/aamm.oa-2023-0020","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46806650","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
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress DPK：第一次Piola-Kirchhoff应力的深度神经网络近似
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2022-0159
{"title":"DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress","authors":"","doi":"10.4208/aamm.oa-2022-0159","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0159","url":null,"abstract":". This paper presents a specific network architecture for approximation of the first Piola-Kirchhoff stress. The neural network enables us to construct the constitutive relation based on both macroscopic observations and atomistic simulation data. In contrast to traditional deep learning models, this architecture is intrinsic symmetric, guarantees the frame-indifference and material-symmetry of stress. Specifically, we build the approximation network inspired by the Cauchy-Born rule and virial stress formula. Several numerical results and theory analyses are presented to illustrate the learnability and effectiveness of our network","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47650723","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 Mass-Preserving Characteristic Finite Difference Method For Miscible Displacement Problem 混相位移问题的保质量特征有限差分法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2022-0060
Jiansong Zhang, Yue Yu, Rongquan Liu
{"title":"A Mass-Preserving Characteristic Finite Difference Method For Miscible Displacement Problem","authors":"Jiansong Zhang, Yue Yu, Rongquan Liu","doi":"10.4208/aamm.oa-2022-0060","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0060","url":null,"abstract":". In this article, a new characteristic finite difference method is developed for solving miscible displacement problem in porous media. The new method combines the characteristic technique with mass-preserving interpolation, not only keeps mass balance but also is of second-order accuracy both in time and space. Numerical results are presented to confirm the convergence and the accuracy in time and space","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43909953","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
Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model 生长介导的自趋模式形成模型的局部不连续Galerkin方法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2022-0217
Hui Wang, Hui Guo, Jiansong Tian
{"title":"Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model","authors":"Hui Wang, Hui Guo, Jiansong Tian","doi":"10.4208/aamm.oa-2022-0217","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0217","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47366880","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
Free Vibration of Stiffened Plate with Cracked Stiffeners 加筋开裂加筋板的自由振动
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2021-0186
J. Xue, Lihua Chen, Yue Zhang
{"title":"Free Vibration of Stiffened Plate with Cracked Stiffeners","authors":"J. Xue, Lihua Chen, Yue Zhang","doi":"10.4208/aamm.oa-2021-0186","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0186","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42486968","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
Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend 等曲率弯道流动弱非线性演化特性分析
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2021-0114
Bin Li, Haijue Xu, Yuchuan Bai and Ziqing Ji
{"title":"Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend","authors":"Bin Li, Haijue Xu, Yuchuan Bai and Ziqing Ji","doi":"10.4208/aamm.oa-2021-0114","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0114","url":null,"abstract":". The meandering river is an unstable system with the characteristic of non-linearity, which results from the instability of the flow and boundary. Focusing on the hydrodynamic nonlinearity of the bend, we use the weakly nonlinear theory and perturbation method to construct the nonlinear evolution equations of the disturbance amplitude and disturbance phase of two-dimensional flow in meandering bend. The influence of the curvature, Re and the disturbance wave number on the evolution of disturbance amplitude and disturbance phase are analyzed. Then, the spatial and temporal evolution of the disturbance vorticity is expounded. The research results show: that the curvature makes the flow more stable; that in the evolution of the disturbance amplitude effected by curvature, Re and the disturbance wave number, exist nonlinear attenuation with damping disturbances, and nonlinear explosive growth with positive disturbances; that the asymmetry distribution of the disturbance velocities increases with the curvature; that the location of the disturbance vorticity’s core area changes periodically with disturbance phase, and the disturbance vorticity gradually attenuates/increases with the decrease of the disturbance phase in the evolution process of damping/positive disturbances. These results shed light on the construction of the interaction model of hydrodynamic nonlinearity and geometric nonlinearity of bed.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48335143","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 Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity 具有初始奇异性的时空分数阶非线性扩散波方程的紧致差分格式
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2022-0049
Emadidin Gahalla Mohmed Elmahdi, S. Huang
{"title":"A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity","authors":"Emadidin Gahalla Mohmed Elmahdi, S. Huang","doi":"10.4208/aamm.oa-2022-0049","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0049","url":null,"abstract":". In this paper, we present a linearized compact difference scheme for one-dimensional time-space fractional nonlinear diffusion-wave equations with initial boundary value conditions. The initial singularity of the solution is considered, which often generates a singular source and increases the difficulty of numerically solving the equation. The Crank-Nicolson technique, combined with the midpoint formula and the second-order convolution quadrature formula, is used for the time discretization. To increase the spatial accuracy, a fourth-order compact difference approximation, which is constructed by two compact difference operators, is adopted for spatial discretization. Then, the unconditional stability and convergence of the proposed scheme are strictly established with superlinear convergence accuracy in time and fourth-order accuracy in space. Finally, numerical experiments are given to support our theoretical results.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47348296","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 Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow 二维可压缩流的点中心任意拉格朗日-欧拉有限体积方法
IF 1.4 4区 工程技术
Advances in Applied Mathematics and Mechanics Pub Date : 2023-04-01 DOI: 10.4208/aamm.oa-2022-0085
Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou and Meilan Qiu
{"title":"A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow","authors":"Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou and Meilan Qiu","doi":"10.4208/aamm.oa-2022-0085","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0085","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49408991","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信