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On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system - MaRDI portal

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On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system (Q1608235)

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scientific article; zbMATH DE number 1779272
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English
On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system
scientific article; zbMATH DE number 1779272

    Statements

    On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system (English)
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    12 August 2002
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    This paper is centred on the analysis of multilinear finite-element implementations of iterative processes with complete and incomplete splitting of boundary conditions for solving Stokes-type problems in a layer with a periodicity condition. Explicit expressions for the eigenvalues and eigenfunctions of the arising operators are derived, and their properties are examined. Iterative processes are proposed and substantiated, whose convergence rates exceed those of previously analyzed processes in a number of cases.
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    viscous incompressible flows
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    finite-element method
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    iterative process
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    acceleration of convergence
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    Stokes-type system
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    first boundary value problem
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