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)
In this paper an algebraic substructuring preconditioner is considered for nonconforming nite element approximations of second order elliptic problems in 3D domains with diagonal anisotropic diiusion tensor. Using a block Gauss elimination and a substructuring idea part of the unknowns is eliminated and the Schur complement obtained is preconditioned by a(More)
An optimal iterative method for solving systems of linear algebraic equations arising from nonconforming nite element discretizations of second order elliptic boundary value problems with anisotropic coeecients is constructed and studied. The technique suggested is based on decomposition of the original domain into nonoverlapping subdomains. It is assumed(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)
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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