摘要
本文提出了一种构造高阶有限元单元刚度矩阵在谱意义下最接近矩阵的符号方法．这种方法通过高阶单元刚度矩阵与低阶矩阵间的联系,化对高阶矩阵的构造问题为对低阶矩阵的构造问题．进而实现了对高阶有限元单元刚度矩阵谱意义下最接近矩阵的构造．
In this paper we present a symbolic method to deal with a given high-order local stiffness matrix through the study of the relationship between high-order matrix and low-order matrix. This method makes it possible to construct an M-matrix which is as close as possible to a high-order matrix in the spectral sense.
出处
《数值计算与计算机应用》
CSCD
2007年第2期138-149,共12页
Journal on Numerical Methods and Computer Applications
基金
中国科学院数学机械化重点实验室开放课题(N0.KLMM0608)资助项目.
关键词
有限元离散
代数多网格
符号补偿法
finite element discretization, algebraic multigrid, symbolic compensation method
