摘要
运用有限差分法,通过分析带混合边界二维泊松方程非均匀离散所得模型问题的矩阵结构,构造出了用于共轭梯度法的三角阵预处理器,以提高实际工程中在提取电磁参数时求解大型线性代数方程组的效率.比较了该算法和用超松弛法计算的结果,表明采用该算法确实可以加快收敛速度.
In order to improve the efficiency of solving sparse linear algebraic equations for parameter extraction in engineering, the pater presents the triangular preconditioner for conjugate gradient method (CGM) by using the matrix structure obtained from the nonuniform discretization of Poisson's equation with mixed boundaries with finite difference method. Compared with the result of the SOR method, the result of this algorithm shows the algorithm can accelerate convergence.
出处
《江南大学学报(自然科学版)》
CAS
2003年第1期11-15,共5页
Joural of Jiangnan University (Natural Science Edition)
基金
教育部优秀青年骨干教师资助课题(200065).
关键词
有限差分法
共轭梯度法
预处理器
低温共烧结陶瓷
参数提取
Finite Difference Method
Conjugate Gradient Method
Preconditioner
Low Temperature Co-fired Ceramic(LTCC)
Parameter Extraction