Adaptive Algebraic Smoothers...

methods based on Local Sensitivity Analysis (LSA). The method can be used
in the context of geometric and algebraic multigrid methods for constructing
smoothers, and in the context of Krylov methods for constructing block preconditioners.
It is suitable for both constant and variable coecient problems.
Furthermore, the method can be applied to systems arising from both scalar and
coupled system partial differential equations (PDEs), as well as linear systems
that do not arise from PDEs. The simplicity of the method will allow it to be
easily incorporated into existing multigrid and Krylov solvers while providing a
powerful tool for adaptively constructing methods tuned to a problem.