{"title":"基于块迭代法和投影迭代法的单基地雷达截面加速计算研究","authors":"D. Ostrzyharczik, T. Eibert","doi":"10.23919/URSIGASS49373.2020.9232429","DOIUrl":null,"url":null,"abstract":"Accurate numerical solutions of scattering phenomena can be achieved by method of moments (MoM) solutions of integral equations. For the evaluation of the monostatic radar cross section (RCS) of an object, the same system of equations has to be solved many times for different excitation fields incident from many directions. Especially for electrically large bodies involving many millions of unknowns, this becomes computationally demanding. In this work, we study and compare the performance of block and projection iterative methods for MoM solutions of surface integral equations related to perfect electrically conducting objects. Both methods are capable of reducing the overall number of matrix-vector products in the considered iterative solution process.","PeriodicalId":438881,"journal":{"name":"2020 XXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science","volume":"106 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Investigation of Accelerated Monostatic Radar Cross Section Computations by Using Block and Projection Iterative Methods\",\"authors\":\"D. Ostrzyharczik, T. Eibert\",\"doi\":\"10.23919/URSIGASS49373.2020.9232429\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Accurate numerical solutions of scattering phenomena can be achieved by method of moments (MoM) solutions of integral equations. For the evaluation of the monostatic radar cross section (RCS) of an object, the same system of equations has to be solved many times for different excitation fields incident from many directions. Especially for electrically large bodies involving many millions of unknowns, this becomes computationally demanding. In this work, we study and compare the performance of block and projection iterative methods for MoM solutions of surface integral equations related to perfect electrically conducting objects. Both methods are capable of reducing the overall number of matrix-vector products in the considered iterative solution process.\",\"PeriodicalId\":438881,\"journal\":{\"name\":\"2020 XXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science\",\"volume\":\"106 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 XXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/URSIGASS49373.2020.9232429\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 XXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/URSIGASS49373.2020.9232429","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Investigation of Accelerated Monostatic Radar Cross Section Computations by Using Block and Projection Iterative Methods
Accurate numerical solutions of scattering phenomena can be achieved by method of moments (MoM) solutions of integral equations. For the evaluation of the monostatic radar cross section (RCS) of an object, the same system of equations has to be solved many times for different excitation fields incident from many directions. Especially for electrically large bodies involving many millions of unknowns, this becomes computationally demanding. In this work, we study and compare the performance of block and projection iterative methods for MoM solutions of surface integral equations related to perfect electrically conducting objects. Both methods are capable of reducing the overall number of matrix-vector products in the considered iterative solution process.