Serguei Maliassov

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A new approach for constructing algebraic multilevel preconditioners for mixed nite element methods for second order elliptic problems with tensor coeecients on general geometry is proposed. The linear system arising from the mixed methods is rst algebraically condensed to a symmetric, positive deenite system for Lagrange multipliers, which corresponds to a(More)
This work continues the series of papers in which new approach of constructing algebraic multilevel preconditioners for mixed nite element methods for second order elliptic problems with tensor coeecients on general grid is proposed. The linear system arising from the mixed methods is rst algebraically condensed to a symmetric, positive deenite system for(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)
Reservoir simulation applications can use different types of meshes such as tetrahedral, hexahedral, prismatic, PEBI, etc. These meshes fall in the class of conformal meshes with polyhedral cells. Numerical geologic models of hydrocarbon reservoirs continue to grow in complexity creating a demand from the reservoir simulation community for simple and(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)
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