{"title":"三维拉普拉斯方程参数积分方程组中t样条和bsamizier提取边界描述的应用","authors":"K. Szerszeń, E. Zieniuk","doi":"10.1109/SYNASC49474.2019.00019","DOIUrl":null,"url":null,"abstract":"The paper presents the integration of CAD models based on T-splines with the Parametric Integral Equation System (PIES) for solving 3D boundary value problems (BVP). T-splines will be used to generate the boundary of the BVP domain and their shape is modeled in the CAD system Rhino. In order to apply PIES, T-spline surfaces are converted into Bézier patches. The proposed strategy has been tested for problems modeled by Laplace's equation.","PeriodicalId":102054,"journal":{"name":"2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","volume":"87 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of T-Splines and Bézier Extraction for Boundary Description in Parametric Integral Equation System for 3D Laplace's Equation\",\"authors\":\"K. Szerszeń, E. Zieniuk\",\"doi\":\"10.1109/SYNASC49474.2019.00019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents the integration of CAD models based on T-splines with the Parametric Integral Equation System (PIES) for solving 3D boundary value problems (BVP). T-splines will be used to generate the boundary of the BVP domain and their shape is modeled in the CAD system Rhino. In order to apply PIES, T-spline surfaces are converted into Bézier patches. The proposed strategy has been tested for problems modeled by Laplace's equation.\",\"PeriodicalId\":102054,\"journal\":{\"name\":\"2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"volume\":\"87 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SYNASC49474.2019.00019\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC49474.2019.00019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Application of T-Splines and Bézier Extraction for Boundary Description in Parametric Integral Equation System for 3D Laplace's Equation
The paper presents the integration of CAD models based on T-splines with the Parametric Integral Equation System (PIES) for solving 3D boundary value problems (BVP). T-splines will be used to generate the boundary of the BVP domain and their shape is modeled in the CAD system Rhino. In order to apply PIES, T-spline surfaces are converted into Bézier patches. The proposed strategy has been tested for problems modeled by Laplace's equation.