Pub Date : 2023-02-01DOI: 10.4208/aamm.oa-2022-0006
Zhipeng Chang, Ke Li, X. Xiang
{"title":"High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems","authors":"Zhipeng Chang, Ke Li, X. Xiang","doi":"10.4208/aamm.oa-2022-0006","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0006","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41479139","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}
Pub Date : 2023-02-01DOI: 10.4208/aamm.oa-2022-0131
Wei Guo, Ziming Chen, Shouguo Qian, Gang Niu
{"title":"A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography","authors":"Wei Guo, Ziming Chen, Shouguo Qian, Gang Niu","doi":"10.4208/aamm.oa-2022-0131","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0131","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45616100","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}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0064
K. Usman, S. Null, M. Shahid
{"title":"Floating Solid Particles Interacting with Tilted Square Obstacles in Fluid Affecting Drag Forces","authors":"K. Usman, S. Null, M. Shahid","doi":"10.4208/aamm.oa-2021-0064","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0064","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494295","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}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0359
Shujie Li null, L. Ju
{"title":"Unified Solution of Conjugate Fluid and Solid Heat Transfer–Part I. Solid Heat Conduction","authors":"Shujie Li null, L. Ju","doi":"10.4208/aamm.oa-2021-0359","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0359","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494677","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}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0251
Juan Zhang, Jiabin Song null, Huanzhen Chen
{"title":"A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems","authors":"Juan Zhang, Jiabin Song null, Huanzhen Chen","doi":"10.4208/aamm.oa-2021-0251","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0251","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494705","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}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2022-0073
Xu Wang null, Weidong Zhao
{"title":"Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations","authors":"Xu Wang null, Weidong Zhao","doi":"10.4208/aamm.oa-2022-0073","DOIUrl":"https://doi.org/10.4208/aamm.oa-2022-0073","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494835","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}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2020-0108
Ankur Gupta, Shashank Soni null, N. Jain
. In this work, a non-classical analytical approach for buckling analysis of partially cracked generally orthotropic plate is proposed under the thermal domain. The derivation for the governing equation is based on the non-classical approach using Kirchhoff’s thin plate theory and the modified couple stress theory. The effect of fibre orientation on critical buckling temperature is incorporated by considering the coefficients of mutual influence. Line spring model is applied with some modifica-tions to formulate all the crack terms while the thermal effects are introduced in form of thermal in-plane moments and forces. The final governing equation is solved using Galerkin’s method and the relation for critical buckling temperature as affected by fibre orientation is obtained. The variation of critical buckling temperature as affected by fibre orientation for different values of crack length, crack location and length scale parameter is presented. Also, the effect of fibre orientation on fundamental frequency under the thermal domain is analysed.
{"title":"A Micro-Structure Dependent Buckling Analysis of Partially-Cracked Generally Orthotropic Plate under Thermal Domain","authors":"Ankur Gupta, Shashank Soni null, N. Jain","doi":"10.4208/aamm.oa-2020-0108","DOIUrl":"https://doi.org/10.4208/aamm.oa-2020-0108","url":null,"abstract":". In this work, a non-classical analytical approach for buckling analysis of partially cracked generally orthotropic plate is proposed under the thermal domain. The derivation for the governing equation is based on the non-classical approach using Kirchhoff’s thin plate theory and the modified couple stress theory. The effect of fibre orientation on critical buckling temperature is incorporated by considering the coefficients of mutual influence. Line spring model is applied with some modifica-tions to formulate all the crack terms while the thermal effects are introduced in form of thermal in-plane moments and forces. The final governing equation is solved using Galerkin’s method and the relation for critical buckling temperature as affected by fibre orientation is obtained. The variation of critical buckling temperature as affected by fibre orientation for different values of crack length, crack location and length scale parameter is presented. Also, the effect of fibre orientation on fundamental frequency under the thermal domain is analysed.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70493928","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}
Pub Date : 2023-01-01DOI: 10.4208/aamm.oa-2021-0219
Jia-ling Wang, Tingchun Wang null, Yushun Wang
{"title":"A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions","authors":"Jia-ling Wang, Tingchun Wang null, Yushun Wang","doi":"10.4208/aamm.oa-2021-0219","DOIUrl":"https://doi.org/10.4208/aamm.oa-2021-0219","url":null,"abstract":"","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70494637","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}
{"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":"1 1","pages":""},"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}
Pub Date : 2023-01-01DOI: 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":"1 1","pages":""},"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}
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