{"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}
引用次数: 0
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.
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