求解有限元复代数方程组的实型ICCG法  

Real Type of ICCG Method for Complex Algebraic Equations of FEM

作　　者：文代刚 姜可薰[1] 黄键[1] 

机构地区：[1]重庆大学

出　　处：《电工技术学报》1996年第4期62-64,15,共4页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金;高等学校博士学科点专项科研基金;霍英东基金

摘　　要：提出了求解复代数方程组的一种实型ＩＣＣＧ法，对ＩＣＣＧ法的收敛终止条件进行了讨论，提出了一个能保证迭代解各分量最低有效位数的收敛终止条件。实例计算表明，各种预处理共轭梯度法中，内积形式对方法的收敛性影响很大，复内积将导致收敛性很差或不收敛，实内积将使收敛性得到极大改善。各种方法相比，提出的复域实型ＩＣＣＧ法具有明显的优势。A real type of ICCG method for complex algebraic equations of FEM is given.Iteration stop conditions are discussed. A condition that is able to ensure the number of significant digits of each component of the iteration solution is given. Numerical results show that the type of mrer products has great effect on the convergence rates of preconditioning conjugate gradient methods for complex algebraic equations: complex inner products result in poor convergence rates or divergence, and real type of inner products result in good convergence rates. Among various methods, the real type of ICCG method is evidently superior.

关 键 词：代数方程 有限元法 计算 

分 类 号：O242.21[理学—计算数学]