Application of T-Splines and Bézier Extraction for Boundary Description in Parametric Integral Equation System for 3D Laplace's Equation

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.