On some parallel iterative methods for solving elliptic equations on triangular grids

摘要

Equation (1.1) can be solved by iterative conjugate gradient methods with a factorized preconditioner matrix, for example, by the incomplete Cholesky factorization without fill-in (ICCG(O) [1, 2]), its modified version MICCG(O) [3, 4], and the relaxed incomplete Cholesky factorization (RICCG [5]). For these methods, the preconditioner matrix has the form B = LDLT, where L is a lower triangular matrix and D is a diagonal matrix.