Incomplete Cholesky-Conjugate Gradient Subroutines for System Solving of Equations and its Application to 3-Dimensional Finite Element Stress Analysis Computer Programs

Abstract

The incomplete Cholesky conjugate gradient method (ICCG method) was used in 3-dimensional finite element programs designed to maximize the computing efficiency on a microcomputer. Numerical experiments on stress analysis proved that the ICCG method needed lesscalculation time and data storage than the ordinary Gaussian elimination method. A satisfactory convergence was achieved in about 30 iterations on every example problem tested in this study. The computing efficiency of the ICCG method is particularly explicit on calculations involvin a matrix with large bandwidths.
Three-dimensional analysis of a fill dam gallery subjected to both static and thermal loads was attempted using this ICCG-incorporated finite element program. The static and thermal stress states of the gallery constructed on the dam foundations with different physical properties were analyzed.