Some approaches for construction of preconditioners are analyzed, that may be used to improve efficiency of iterative methods for linear systems arising from high order finite element discretization. The results of numerical investigations of preconditioning techniques for stabilized high order finite element discretization (SUPG/GLS) are presented. As a model convection-diffusion equation is used. It is considered three types of preconditioners under assumption that linear element scheme can be efficiently solved.

Mathematical problems and theory of numerical methods