一種求解電磁位差分方程組的快速收斂方法
A FAST CONVERGENT METHOD FOR SOLVING THE FINITE DIFFERENCE EQUATIONS OF ELECTROMAGNETIC PROBLEMS
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摘要: 本文根據(jù)電磁位差分方程組系數(shù)矩陣對(duì)角元素占優(yōu)以及稀疏性的特點(diǎn),將直接求解一維線性方程組的追趕法與迭代法相結(jié)合,發(fā)展了一種準(zhǔn)直接法。該方法對(duì)計(jì)算機(jī)內(nèi)存的要求小于直接法,而收斂速度快于連續(xù)超松馳迭代法,適用于計(jì)算各種靜態(tài)電磁場(chǎng)的有限差分解。文中介紹了準(zhǔn)直接法的基本原理與特點(diǎn),并與連續(xù)超松弛方法進(jìn)行了比較。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 magnetostatic problems.
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馮康,數(shù)值計(jì)算方法,北京,國(guó)防工業(yè)出版社,1975年,pp. 264-266.[2]崔錚, 液態(tài)金屬離子源動(dòng)態(tài)工作過(guò)程研究,東南大學(xué),博士學(xué)位論文,南京,1988年. -
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