Interval NURBS curves in modeling uncertainly defined boundary shape in interval PIES method

摘要

The main purpose of this paper is to increase accuracy of modeling uncertainly defined boundary shape in parametric integral equations systems method (PIES), by inclusion of interval NURBS curves into mathematical formalism of the method. We model the uncertainty of the boundary shape by interval control points and examine such strategy on examples of 2D elasticity problems. Accuracy improvement of the boundary shape modeling affects the solutions accuracy. Additionally using interval NURBS we make the modeling process much easier and ensure the continuity of the shape.