基于等几何分析的边界元法求解二维Laplace方程

In this article, an isometric boundary element method (IGABEM) based on nonuniform rational B-splines was proposed for two-dimensional Laplace problems, and the radial integral method was used to deal with singular integrals.This method not only realizes the seamless fusion of geometry and solution domain, but also saves the pre-processing time.This method can easily subdivide the model and obtain higher accuracy with only a few degrees of freedom added.Numerical examples show that this method can effectively solve the two-dimensional Laplace equation and has a very good computational accuracy.