{"title":"An Augmented Mixed DG Scheme for the Electric Field","authors":"A. Zaghdani","doi":"10.28924/2291-8639-22-2024-85","DOIUrl":null,"url":null,"abstract":"In this paper, a new augmented mixed DG formulation for the numerical approximation of the electrostatic field was introduced and studied. Its error analysis was carried out and an optimal error estimates as a function of the mesh size was obtained. Some numerical tests confirming the theoretical convergence were given.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-22-2024-85","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this paper, a new augmented mixed DG formulation for the numerical approximation of the electrostatic field was introduced and studied. Its error analysis was carried out and an optimal error estimates as a function of the mesh size was obtained. Some numerical tests confirming the theoretical convergence were given.
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