Multilevel Preconditioning in H (div) and Applications to a Posteriori Error Estimates for Discontinuous Galerkin Approximations

Abstract

An optimal order algebraic multilevel iterative (AMLI) method for solving systems of linear algebraic equations arising from the finite element discretization of certain boundary value problems, that have their weak formulation in the space H (div), is presented. The algorithm is used for the solution of the discrete minimization problem which arises in the… (More)

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