{"title":"将不变逼近法应用于电磁场分析","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":"{\"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}","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}
Applying the invariant approximations to the analysis of electromagnetic fields
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.