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East Asian Journal on Applied Mathematics最新文献

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Error Analysis of BDF-Galerkin FEMs for Thermally Coupled Incompressible MHD with Temperature Dependent Parameters 具有温度相关参数的热耦合不可压缩 MHD 的 BDF-Galerkin 有限元误差分析
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-07-01 DOI: 10.4208/eajam.2023-085.070723
Shuaijun Liu, Pengzhan Huang and Yinnian He
{"title":"Error Analysis of BDF-Galerkin FEMs for Thermally Coupled Incompressible MHD with Temperature Dependent Parameters","authors":"Shuaijun Liu, Pengzhan Huang and Yinnian He","doi":"10.4208/eajam.2023-085.070723","DOIUrl":"https://doi.org/10.4208/eajam.2023-085.070723","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141713112","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
Pointwise Error Estimates of $L1$ Method for Multi-Singularity Problems Arising in Delay Fractional Equations 针对延迟分式方程中出现的多奇异性问题的 $L1$ 方法的点式误差估计
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-07-01 DOI: 10.4208/eajam.2023-168.180923
Dakang Cen, Hui Liang and Seakweng Vong
{"title":"Pointwise Error Estimates of $L1$ Method for Multi-Singularity Problems Arising in Delay Fractional Equations","authors":"Dakang Cen, Hui Liang and Seakweng Vong","doi":"10.4208/eajam.2023-168.180923","DOIUrl":"https://doi.org/10.4208/eajam.2023-168.180923","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141709930","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
Analysis of Irreversibility in the Flow of Jeffrey Fluid Through an Inclined Channel Considering Navier-Slip 考虑纳维-滑移的杰弗里流体流经斜槽的不可逆性分析
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-07-01 DOI: 10.4208/eajam.2023-227.221023
Ravi Mahla and Kolla Kaladhar
{"title":"Analysis of Irreversibility in the Flow of Jeffrey Fluid Through an Inclined Channel Considering Navier-Slip","authors":"Ravi Mahla and Kolla Kaladhar","doi":"10.4208/eajam.2023-227.221023","DOIUrl":"https://doi.org/10.4208/eajam.2023-227.221023","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141703281","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 Adaptive Nonlinear Least-Squares Finite Element Method for a Pucci Equation in Two Dimensions 二维普奇方程的自适应非线性最小二乘有限元法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-05-01 DOI: 10.4208/eajam.2023-277.150124
Susanne C. Brenner, Li-Yeng Sung and Zhiyu Tan
{"title":"An Adaptive Nonlinear Least-Squares Finite Element Method for a Pucci Equation in Two Dimensions","authors":"Susanne C. Brenner, Li-Yeng Sung and Zhiyu Tan","doi":"10.4208/eajam.2023-277.150124","DOIUrl":"https://doi.org/10.4208/eajam.2023-277.150124","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141056481","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 Adaptive Projection Algorithm for Solving Nonlinear Monotone Equations with Convex Constraints 求解具有凸约束条件的非线性单调方程的自适应投影算法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-05-01 DOI: 10.4208/eajam.2023-244.100124
Zhi Zhao, Xiao-Qing Jin and Teng-Teng Yao
{"title":"An Adaptive Projection Algorithm for Solving Nonlinear Monotone Equations with Convex Constraints","authors":"Zhi Zhao, Xiao-Qing Jin and Teng-Teng Yao","doi":"10.4208/eajam.2023-244.100124","DOIUrl":"https://doi.org/10.4208/eajam.2023-244.100124","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141035385","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 Hybrid Neural-Network and MAC Scheme for Stokes Interface Problems 针对斯托克斯接口问题的混合神经网络和 MAC 方案
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-05-01 DOI: 10.4208/eajam.2024-006.060424
Che-Chia Chang,Chen-Yang Dai,Wei-Fan Hu,Te-Sheng Lin, Ming-Chih Lai
{"title":"A Hybrid Neural-Network and MAC Scheme for Stokes Interface Problems","authors":"Che-Chia Chang,Chen-Yang Dai,Wei-Fan Hu,Te-Sheng Lin, Ming-Chih Lai","doi":"10.4208/eajam.2024-006.060424","DOIUrl":"https://doi.org/10.4208/eajam.2024-006.060424","url":null,"abstract":"In this paper, we present a hybrid neural-network and MAC (Marker-And-Cell) scheme for solving Stokes equations with singular forces on an embedded interface in regular domains. As known, the solution variables (the pressure and velocity)\u0000exhibit non-smooth behaviors across the interface so extra discretization efforts must be\u0000paid near the interface in order to have small order of local truncation errors in finite\u0000difference schemes. The present hybrid approach avoids such additional difficulty. It\u0000combines the expressive power of neural networks with the convergence of finite difference schemes to ease the code implementation and to achieve good accuracy at the same\u0000time. The key idea is to decompose the solution into singular and regular parts. The\u0000neural network learning machinery incorporating the given jump conditions finds the\u0000singular part solution, while the standard MAC scheme is used to obtain the regular part\u0000solution with associated boundary conditions. The two- and three-dimensional numerical results show that the present hybrid method converges with second-order accuracy\u0000for the velocity and first-order accuracy for the pressure, and it is comparable with the\u0000traditional immersed interface method in literature.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256799","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 Pre-Training Deep Learning Method for Simulating the Large Bending Deformation of Bilayer Plates 模拟双层板大弯曲变形的预训练深度学习方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-05-01 DOI: 10.4208/eajam.2023-325.070124
Xiang Li,Yulei Liao, Pingbing Ming
{"title":"A Pre-Training Deep Learning Method for Simulating the Large Bending Deformation of Bilayer Plates","authors":"Xiang Li,Yulei Liao, Pingbing Ming","doi":"10.4208/eajam.2023-325.070124","DOIUrl":"https://doi.org/10.4208/eajam.2023-325.070124","url":null,"abstract":"We propose a deep learning based method for simulating the large bending deformation of bilayer plates. Inspired by the greedy algorithm, we propose a pretraining method on a series of nested domains, which accelerate the convergence of\u0000training and find the absolute minimizer more effectively. The proposed method exhibits the capability to converge to an absolute minimizer, overcoming the limitation of\u0000gradient flow methods getting trapped in the local minimizer basins. We showcase better performance with fewer numbers of degrees of freedom for the relative energy errors\u0000and relative $L^2$-errors of the minimizer through numerical experiments. Furthermore,\u0000our method successfully maintains the $L^2$-norm of the isometric constraint, leading to\u0000an improvement of accuracy.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256938","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 Adaptive Moving Mesh Method for Simulating Finite-time Blowup Solutions of the Landau-Lifshitz-Gilbert Equation 模拟兰道-利夫希茨-吉尔伯特方程有限时间炸毁解的自适应移动网格法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-05-01 DOI: 10.4208/eajam.2023-322.250224
Zheyue Fang, Xiaoping Wang
{"title":"An Adaptive Moving Mesh Method for Simulating Finite-time Blowup Solutions of the Landau-Lifshitz-Gilbert Equation","authors":"Zheyue Fang, Xiaoping Wang","doi":"10.4208/eajam.2023-322.250224","DOIUrl":"https://doi.org/10.4208/eajam.2023-322.250224","url":null,"abstract":"We present a moving mesh finite element method to study the finite-time\u0000blowup solution of the Landau-Lifshitz-Gilbert (LLG) equation, considering both the\u0000heat flow of harmonic map and the full LLG equation. Our approach combines projection methods for solving the LLG equation with an iterative grid redistribution method\u0000to generate adaptive meshes. Through iterative remeshing, we successfully simulate\u0000blowup solutions with maximum gradient magnitudes up to $10^4$ and minimum mesh\u0000sizes of $10^{−5}.$ We investigate the self-similar patterns and blowup rates of these solutions, and validate our numerical findings by comparing them to established analytical\u0000results from a recent study","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141256954","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
Orthogonality Sampling Method for Identifying Small Anomalies in Real-World Microwave Imaging 在真实世界微波成像中识别微小异常的正交采样法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-04-01 DOI: 10.4208/eajam.2022-318.170723
Chi Young Ahn,Seongje Chae,Sangwoo Kang,Kwang-Jae Lee,Won-Kwang Park, Seong-Ho Son
{"title":"Orthogonality Sampling Method for Identifying Small Anomalies in Real-World Microwave Imaging","authors":"Chi Young Ahn,Seongje Chae,Sangwoo Kang,Kwang-Jae Lee,Won-Kwang Park, Seong-Ho Son","doi":"10.4208/eajam.2022-318.170723","DOIUrl":"https://doi.org/10.4208/eajam.2022-318.170723","url":null,"abstract":"In this paper, the application of the orthogonality sampling method (OSM)\u0000to the real-world microwave imaging for identifying location of small anomalies is addressed. In order to show the feasibility and limitation of the OSM, we theoretically\u0000prove that the indicator function can be represented in terms of an infinite series of\u0000Bessel functions of integer order and the transmitting and receiving signal antenna configurations. This is based on the application of the Born approximation and the reciprocity of the incident fields. Throughout real-data experiments, it was shown that the\u0000OSM works well for identifying single anomaly under the specific location of transmitter while further improvement is needed for identification of multiple anomalies. To\u0000improve the imaging performance, we consider traditional indicator function with multiple sources and design a new indicator function with multiple sources weighted by the\u0000incident field. Theoretical results are contained to demonstrate the improvement.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564664","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
Real Reduced Matrix mKdV Integrable Hierarchies Under Two Local Group Reductions 两个局部组还原下的实还原矩阵 mKdV 可积分层次结构
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-04-01 DOI: 10.4208/eajam.2022-310.300623
Wen-Xiu Ma
{"title":"Real Reduced Matrix mKdV Integrable Hierarchies Under Two Local Group Reductions","authors":"Wen-Xiu Ma","doi":"10.4208/eajam.2022-310.300623","DOIUrl":"https://doi.org/10.4208/eajam.2022-310.300623","url":null,"abstract":"We propose a kind of reduced Ablowitz-Kaup-Newell-Segur matrix spectral\u0000problems under two local group reductions by similarity transformations. Associated integrable hierarchies of matrix mKdV type integrable models are presented, which amend\u0000the complex matrix mKdV integrable hierarchies. Zero curvature equations are key objects in generating integrable models.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564662","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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