{"title":"非均匀网格等腰三角形插值的误差分析","authors":"Wen Luo, Jinbo Liu, Zengrui Li, Jiming Song","doi":"10.1109/APS/URSI47566.2021.9704597","DOIUrl":null,"url":null,"abstract":"The isosceles triangular interpolation based on the non-uniform grid is proposed to further speed up the multilevel fast multipole algorithm (MLFMA). The non-uniform grid is transformed into a uniform grid by using Lagrange polynomials. The interpolation errors of the second order isosceles triangular interpolation based on the non-uniform grid are analyzed. Numerical results show that the isosceles triangular interpolation is more efficient than the Lagrange interpolation.","PeriodicalId":6801,"journal":{"name":"2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI)","volume":"52 1","pages":"219-220"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Error Analysis of Isosceles Triangular Interpolation for Non-uniform Grid\",\"authors\":\"Wen Luo, Jinbo Liu, Zengrui Li, Jiming Song\",\"doi\":\"10.1109/APS/URSI47566.2021.9704597\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The isosceles triangular interpolation based on the non-uniform grid is proposed to further speed up the multilevel fast multipole algorithm (MLFMA). The non-uniform grid is transformed into a uniform grid by using Lagrange polynomials. The interpolation errors of the second order isosceles triangular interpolation based on the non-uniform grid are analyzed. Numerical results show that the isosceles triangular interpolation is more efficient than the Lagrange interpolation.\",\"PeriodicalId\":6801,\"journal\":{\"name\":\"2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI)\",\"volume\":\"52 1\",\"pages\":\"219-220\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APS/URSI47566.2021.9704597\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APS/URSI47566.2021.9704597","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Error Analysis of Isosceles Triangular Interpolation for Non-uniform Grid
The isosceles triangular interpolation based on the non-uniform grid is proposed to further speed up the multilevel fast multipole algorithm (MLFMA). The non-uniform grid is transformed into a uniform grid by using Lagrange polynomials. The interpolation errors of the second order isosceles triangular interpolation based on the non-uniform grid are analyzed. Numerical results show that the isosceles triangular interpolation is more efficient than the Lagrange interpolation.
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