A new algorithm of B-Spline FEM for solving 2-D electromagnetic field problem of rectangular regions

The B-Spline FEM is an effective numerical computation method for solving 2-D electromagnetic field problem of rectangular regions. This method has high computational accuracy without destroying the continuity of adjacent field value. In this paper, a transferable gauss integral matrix algorithm (TGIMA) which can perform fleetly the B-spline FEM was proposed. By the algorithm, the B-spline function value of every Gauss point was transferred to total coefficient matrix of B-spline FEM equation without integral operations of product of B-spline piecewise function. Consequently the computational complexity can be largely reduced. The algorithm can be programmed conveniently and make the computation easier.