Multilevel Method Modifications for Discrete Analogues of Mixed Variational Formulations of the Filtration Problem

A mixed variational formulation based on a discontinuous Galerkin method for solving the Darcy problem using two hierarchical basis systems in H
^div
(Ω) space and a basis system in L
₂
(Ω) space is considered. The algebraic multilevel iteration method for the system of linear algebraic equations obtained as a result of discretization is analyzed.