An accelerated Newton-Raphson method associated with the ICCG algorithm

An accelerated Newton-Raphson (NR) method associated with the ICCG (incomplete Cholesky conjugate gradient) algorithm is proposed, which can reduce the global computational time to 50-60% of the standard method. Numerical examples are tested, and precision and convergence are analyzed. The method is suitable for implementation in finite-element software which uses the NR for the nonlinear solution and the ICCG for the linear system.<>