Highly Stable Localized ILU Preconditioning for Unstructured Grids

Authors have shown that “Localized” ILU(O) factorization is very effective preconditioning method for parallel iterative solvers. This method provides data locality and good parallelization effect because there are no inter-processor communications. But it's not as strong a method as the original ILU(O) preconditioner. Therefore, the convergence is getting slower if the processor number becomes larger.

[1]  V. Venkatakrishnan 4. Parallel Implicit Methods for Aerodynamic Applications on Unstructured Grids , 1995, Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering.

[2]  Richard Barrett,et al.  Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.