根据算子方程得到矩阵方程的新方法-基函数展开法(英文)

A new method for obtaining matrix equations from operator equations: basis function expansion method

矩量法在计算电磁学中占有重要地位。矩量法是选择适当的基函数和权函数,进而得到矩阵方程。但该方法得到的阻抗矩阵是一个满阵,在复杂电磁学问题中,不论是阻抗矩阵填充还是求逆都会花费大量时间。提出了一种根据算子方程得到矩阵方程的新方法-基函数展开法,并给出应用该方法的一个例子。可看到该方法中不需要选择权函数,且阻抗矩阵是一个对角阵,从而大大节省阻抗矩阵填充时间和求逆时间。

The method of moment （MOM） is an important method of computational clectromagnetics （CEM）, The MOM chooses appropriate basis functions and testing functions to convert a continuous operator equation to a matrix equation. But this matrix isa fullmatrix, and much time is needed for the MOM analysis of complicated electromag netics environment. This paper introduces a new method of obtaining matrix equalions from continuous operator ectuations basis function expansion method, and then gives an simple example for this method. Using this method does not need testing functions, and the impedance matrix is a diagonal matrix, so the filling time and finding the in verse matrix time of impedance matrix are saved.