The B-spline finite element method applied to axi-symmetrical and nonlinear field problems

摘要

A B-spline FEM (finite-element method) using the B-spline functions for rectangular elements as shape functions is presented. It is very effective for solving two-dimensional electromagnetic field problems in regular regions. Compared with the conventional FEM, it gives more accurate potential values and due to the inherent properties of B-spline functions yields much closer field values. Both the computing time and the storage capacity are greatly reduced as well.