Iterative Solvers

There are several types of iterative solvers.

Iterative ICCF

This method is recommended for large-scale problems with a small number of right-hand sides.

Iterative diagonal

This method is recommended for large-scale problems with a small number of right-hand sides.

Iterative Gauss-Cholesky

This method is recommended for large-scale problems with a small number of right-hand sides, when there's is not enough RAM to use the ICCF method.

The verification of each element matrix is conducted by means of the Vinget regularization procedure 12.

Iterative multilevel ICCF

This method is recommended for large-scale problems with a small number of right-hand sides. It shows a quicker convergence than the iterative ICCF method.

Iterative multilevel diagonal

This method is considerably slower than the iterative multilevel ICCF. However, it requires much less RAM memory.

The Smoothing method 2 usually requires fewer iterations compared to the iterative multilevel ICCF method.

The verification of each element matrix is conducted by means of the Vinget regularization procedure 1,2.

Iterative multilevel Gauss-Cholesky

This method is considerably slower than the iterative multilevel ICCF. However, it requires much less RAM memory.

The Smoothing method 2 usually requires fewer iterations compared to the iterative multilevel ICCF method.

The verification of each element matrix is conducted by means of the Vinget regularization procedure 1,2.

Iterative Method calculations

The calculations dialog for the Iterative method shows the convergence process of the iterative method if the user defined level of accuracy is achieved, or if the process is divergent.

The diagram also shows the following information:
  • Number of the current iteration / maximum number of iterations.
  • Required accuracy.
  • Accuracy of the current iteration.
  • Number of equations.
  • Frontwidth.
Iterative method calculations
1 Hughes T.J.R., Ferencz M. Implicit solution of large-scale contact and impact problems employing an EBE preconditioned iterative solver, IMPACT 87 Int. Conference on Effects of Fast Transient Loading in the Context of Structural Mechanics, Lausanne, Switzerland, August 26-27, 1987.
2 Hughes T.J.R., R.M.Ferencz, and j.O.Hallquist. Large-scale vectorized implicit calculations in solid mechanics on a CRAY X-MP/48 utilizing EBE preconditioned conjugate gradients, Comput. Meths. Appl. Mech. Engrg., 61