【摘要】 本文根据电磁位差分方程组系数矩阵对角元素占优以及稀疏性的特点,将直接求解一维线性方程组的追赶法与迭代法相结合,发展了一种准直接法。该方法对计算机内存的要求小于直接法,而收敛速度快于连续超松驰迭代法,适用于计算各种静态电磁场的有限差分解。文中介绍了准直接法的基本原理与特点,并与连续超松弛方法进行了比较。更多还原

【Abstract】 A quasi-direct solution (QDS) for the finite difference equations has been developed, which is basel on the sparse and pivot-dominant properties of the matrix and is the combination of the direct method and the iterative method. The principle and the features of QDS method have been discussed. A comparison has been made with the successive over-relaxation (SOR) method. It is shown that the QDS method requires less computer memory than the direct method, covnerges faster than the SOR method and is suitable for calculating the finite difference equations of electromagnetic and magnetostadc problems.更多还原