{"title":"基于入侵随机伽辽金法的MLFMM加速散射解的预调节器","authors":"Z. Zubac, J. Fostier, D. De Zutter, D. Ginste","doi":"10.1109/CEM.2015.7237417","DOIUrl":null,"url":null,"abstract":"We present a preconditioner for an intrusive stochastic Galerkin method (SGM) based scattering solver that also leverages the multilevel fast multipole method (MLFMM). The proposed preconditioner is essential in developing a general and intrusive SGM method. Simulation results are obtained for a canonical scattering structure with perfect electrically conducting strips with statistically varying geometry. Results are reported for the number of iterations, with and without using a preconditioner, and for the time required to setup the preconditioner.","PeriodicalId":409699,"journal":{"name":"2015 Computational Electromagnetics International Workshop (CEM)","volume":"139 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Preconditioner for a scattering solver based on the intrusive stochastic galerkin method accelerated with MLFMM\",\"authors\":\"Z. Zubac, J. Fostier, D. De Zutter, D. Ginste\",\"doi\":\"10.1109/CEM.2015.7237417\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a preconditioner for an intrusive stochastic Galerkin method (SGM) based scattering solver that also leverages the multilevel fast multipole method (MLFMM). The proposed preconditioner is essential in developing a general and intrusive SGM method. Simulation results are obtained for a canonical scattering structure with perfect electrically conducting strips with statistically varying geometry. Results are reported for the number of iterations, with and without using a preconditioner, and for the time required to setup the preconditioner.\",\"PeriodicalId\":409699,\"journal\":{\"name\":\"2015 Computational Electromagnetics International Workshop (CEM)\",\"volume\":\"139 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Computational Electromagnetics International Workshop (CEM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CEM.2015.7237417\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Computational Electromagnetics International Workshop (CEM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CEM.2015.7237417","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Preconditioner for a scattering solver based on the intrusive stochastic galerkin method accelerated with MLFMM
We present a preconditioner for an intrusive stochastic Galerkin method (SGM) based scattering solver that also leverages the multilevel fast multipole method (MLFMM). The proposed preconditioner is essential in developing a general and intrusive SGM method. Simulation results are obtained for a canonical scattering structure with perfect electrically conducting strips with statistically varying geometry. Results are reported for the number of iterations, with and without using a preconditioner, and for the time required to setup the preconditioner.
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