A New ICCG Method of Large-Scale Sparse Linear Equation Group

Coefficient matrix of linear equations from finite element method (FEM) is sparse and symmetrical. For the sake of CPU operational time saving to accesses data in matrix decomposition and reducing storing requirement to computer, we introduce fully sparse strategy that stores only nonzero elements of symmetrical part by chain pattern management. Based on the incomplete Cholesky decomposition with thresholds, a new ICCG method is obtained by modifying diagonal elements. The new method can ensure that solution is exact and high-performance. Numerical examples show that the combination of ICCG method and fully sparse storage structure can greatly improve the algorithmic efficiency for FEM solution of large scaled sparse linear equation group.