F. Andriulli, K. Cools, F. Olyslager, E. Michielssen
{"title":"Calderón稳定的时域积分方程求解器","authors":"F. Andriulli, K. Cools, F. Olyslager, E. Michielssen","doi":"10.1109/APS.2007.4396561","DOIUrl":null,"url":null,"abstract":"In this paper, we present new techniques for stabilizing marching on in time-based time domain integral equation (MOT-TDIE) solvers that distinguish themselves from the above ones in that they operate hand in glove with recently developed Calderon-based MOT-TDIE preconditioners. The proposed preconditioners provide simple mechanisms for eliminating \"resonant\" and \"DC\" eigenvalues from combined and electric field TDIEs, thereby rendering them immune from late-time ringing and non-oscillatory growth of their solutions. Numerical results that show the validity and the effectiveness of the proposed equations are presented.","PeriodicalId":117975,"journal":{"name":"2007 IEEE Antennas and Propagation Society International Symposium","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2007-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Calderón stabilized time domain integral equation solvers\",\"authors\":\"F. Andriulli, K. Cools, F. Olyslager, E. Michielssen\",\"doi\":\"10.1109/APS.2007.4396561\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present new techniques for stabilizing marching on in time-based time domain integral equation (MOT-TDIE) solvers that distinguish themselves from the above ones in that they operate hand in glove with recently developed Calderon-based MOT-TDIE preconditioners. The proposed preconditioners provide simple mechanisms for eliminating \\\"resonant\\\" and \\\"DC\\\" eigenvalues from combined and electric field TDIEs, thereby rendering them immune from late-time ringing and non-oscillatory growth of their solutions. Numerical results that show the validity and the effectiveness of the proposed equations are presented.\",\"PeriodicalId\":117975,\"journal\":{\"name\":\"2007 IEEE Antennas and Propagation Society International Symposium\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-06-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 IEEE Antennas and Propagation Society International Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APS.2007.4396561\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE Antennas and Propagation Society International Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APS.2007.4396561","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Calderón stabilized time domain integral equation solvers
In this paper, we present new techniques for stabilizing marching on in time-based time domain integral equation (MOT-TDIE) solvers that distinguish themselves from the above ones in that they operate hand in glove with recently developed Calderon-based MOT-TDIE preconditioners. The proposed preconditioners provide simple mechanisms for eliminating "resonant" and "DC" eigenvalues from combined and electric field TDIEs, thereby rendering them immune from late-time ringing and non-oscillatory growth of their solutions. Numerical results that show the validity and the effectiveness of the proposed equations are presented.