A Multigrid Method Based on Incomplete Gaussian Elimination.

In this paper we introduce and analyse a new Schur complement approximation based on incomplete Gaussian elimination. The approximate Schur complement is used to develop a multigrid method. ibis multigrid method has an algorithmic structure that is very similar to the algorithmic structure of classical multigrid methods. The resulting method is almost purely algebraic and has increasing robustness properties with respect to variation in problem parameters. [ABSTRACT FROM AUTHOR]