{"title":"A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic","authors":"Xingwei Yang,Pengzhan Huang, Yinnian He","doi":"10.4208/ijnam2024-1019","DOIUrl":null,"url":null,"abstract":"In this paper, we prove the existence of weak solution and the uniqueness of strong\nsolution to a Voigt-regularization of the three-dimensional thermally coupled inviscid, resistive\nMHD equations. We also propose a fully discrete scheme for the considered problem, which is\nproven to be stable and convergent. All computational results support the theoretical analysis\nand demonstrate the effectiveness of the presented scheme.","PeriodicalId":50301,"journal":{"name":"International Journal of Numerical Analysis and Modeling","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Numerical Analysis and Modeling","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/ijnam2024-1019","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we prove the existence of weak solution and the uniqueness of strong
solution to a Voigt-regularization of the three-dimensional thermally coupled inviscid, resistive
MHD equations. We also propose a fully discrete scheme for the considered problem, which is
proven to be stable and convergent. All computational results support the theoretical analysis
and demonstrate the effectiveness of the presented scheme.
期刊介绍：
The journal is directed to the broad spectrum of researchers in numerical methods throughout science and engineering, and publishes high quality original papers in all fields of numerical analysis and mathematical modeling including: numerical differential equations, scientific computing, linear algebra, control, optimization, and related areas of engineering and scientific applications. The journal welcomes the contribution of original developments of numerical methods, mathematical analysis leading to better understanding of the existing algorithms, and applications of numerical techniques to real engineering and scientific problems. Rigorous studies of the convergence of algorithms, their accuracy and stability, and their computational complexity are appropriate for this journal. Papers addressing new numerical algorithms and techniques, demonstrating the potential of some novel ideas, describing experiments involving new models and simulations for practical problems are also suitable topics for the journal. The journal welcomes survey articles which summarize state of art knowledge and present open problems of particular numerical techniques and mathematical models.
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