Shunchuan Yang, Z. Chen, Yiqiang Yu, Sergey A. Ponomarenko
{"title":"关于新的效率改进的保散度ADI-FDTD方法的散度特性","authors":"Shunchuan Yang, Z. Chen, Yiqiang Yu, Sergey A. Ponomarenko","doi":"10.1109/MWSYM.2013.6697493","DOIUrl":null,"url":null,"abstract":"In this paper, the new efficiency-improved divergence preserved ADI-FDTD method and its divergence property is presented. The efficiency-improved method is analytically proven to retain the expected divergence-free property while having approximately 41.7% fewer floating point operation counts in comparison with the original divergence-preserved ADI-FDTD method. Numerical example is provided to verify the theoretical proof. This work complements the theoretical foundation around the new efficiency-improved unconditionally stable ADI-FDTD method useful for modeling spatially highly resolved regions.","PeriodicalId":128968,"journal":{"name":"2013 IEEE MTT-S International Microwave Symposium Digest (MTT)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the divergence properties of the new efficiency-improved divergence preserved ADI-FDTD method\",\"authors\":\"Shunchuan Yang, Z. Chen, Yiqiang Yu, Sergey A. Ponomarenko\",\"doi\":\"10.1109/MWSYM.2013.6697493\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the new efficiency-improved divergence preserved ADI-FDTD method and its divergence property is presented. The efficiency-improved method is analytically proven to retain the expected divergence-free property while having approximately 41.7% fewer floating point operation counts in comparison with the original divergence-preserved ADI-FDTD method. Numerical example is provided to verify the theoretical proof. This work complements the theoretical foundation around the new efficiency-improved unconditionally stable ADI-FDTD method useful for modeling spatially highly resolved regions.\",\"PeriodicalId\":128968,\"journal\":{\"name\":\"2013 IEEE MTT-S International Microwave Symposium Digest (MTT)\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 IEEE MTT-S International Microwave Symposium Digest (MTT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSYM.2013.6697493\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE MTT-S International Microwave Symposium Digest (MTT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSYM.2013.6697493","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the divergence properties of the new efficiency-improved divergence preserved ADI-FDTD method
In this paper, the new efficiency-improved divergence preserved ADI-FDTD method and its divergence property is presented. The efficiency-improved method is analytically proven to retain the expected divergence-free property while having approximately 41.7% fewer floating point operation counts in comparison with the original divergence-preserved ADI-FDTD method. Numerical example is provided to verify the theoretical proof. This work complements the theoretical foundation around the new efficiency-improved unconditionally stable ADI-FDTD method useful for modeling spatially highly resolved regions.