An Improvement on Boundary Elements of Complicated Domain Based on NURBS

In this paper, an improved meshing approach is proposed to improve the precision of boundary elements of the complicated domains. According to the approach, a complicated domain is meshed by the free-meshing strategy firstly, and the information of elements and nodes is generated automatically. Based on the elements and nodes information, the control points can be determined, which are used to represent the edge of boundary element by Non-Uniform Rational B-Spline (NURBS) curves. The element edges represented by NURBS can be more closed to the actual boundary by adjusting the power factors appropriately. Then, the shape functions of the improved boundary elements are deduced. Finally, an example validates the improvement is effective, and demonstrates the effect of power factors on NURBS curves.