Serguei Maliassov

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A new approach of constructing algebraic multilevel preconditioners for mixed nite element methods for second order elliptic problems with tensor coe cients on general geometry is proposed The linear system arising from the mixed methods is rst algebraically condensed to a symmetric positive de nite system for Lagrange multipliers which corresponds to a(More)
Abstract This work continues the series of papers in which new approach of constructing alge braic multilevel preconditioners for mixed nite element methods for second order elliptic problems with tensor coe cients on general grid is proposed The linear system arising from the mixed meth ods is rst algebraically condensed to a symmetric positive de nite(More)
SUMMARY In this paper an algebraic substructuring preconditioner is considered for non-conforming nite element approximations of second order elliptic problems in 3D domains with a piecewise constant diiusion coeecient. Using a substructuring idea and a block Gauss elimination part of the unknowns is eliminated and the Schur complement obtained is(More)
In the multidimensional numerical simulation of physical processes many phenomena are suuciently localized and it is obvious that adap-tive local grid reenement techniques are necessary to resolve the local physical behavior. For this reason the nite element discretiza-tions are often considered on the non-hierarchical unstructured meshes which permit to(More)
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