{"title":"Applying the invariant approximations to the analysis of electromagnetic fields","authors":"M.V. Kotsyuba","doi":"10.1109/DIPED.1999.822152","DOIUrl":null,"url":null,"abstract":"This report deals with the elaboration of general algorithms for constructing discrete analogies of differential boundary-value electromagnetic problems by means of the finite-difference method and the theory of invariant function approximation. The obtained analogies are invariant according to the group of linear transformations of the Cartesian co-ordinate system, conservative and independent from the configuration of boundary and contact surfaces. They are characterized by the prescribed order of accuracy.","PeriodicalId":426777,"journal":{"name":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.1999.822152","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This report deals with the elaboration of general algorithms for constructing discrete analogies of differential boundary-value electromagnetic problems by means of the finite-difference method and the theory of invariant function approximation. The obtained analogies are invariant according to the group of linear transformations of the Cartesian co-ordinate system, conservative and independent from the configuration of boundary and contact surfaces. They are characterized by the prescribed order of accuracy.