Nonconformal finite element method for a fluid dynamics problem with curved interface (Q2836608)

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scientific article; zbMATH DE number 6183463
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Nonconformal finite element method for a fluid dynamics problem with curved interface
scientific article; zbMATH DE number 6183463

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    3 July 2013
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    curvilinear interface
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    decomposition of domain
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    nonconformal finite element method
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    mortar elements
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    Navier-Stokes equations for incompressible two phase fluid
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    Nonconformal finite element method for a fluid dynamics problem with curved interface (English)
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    This paper deals with discretization over time and linearization of the Navier-Stokes equations for incompressible two phase fluid without mixing; these equations have a time-dependent curvilinear interface. A nonconformal finite element method for the problem is constructed and the convergence rate of the grid numerical solution to the precise solution in special norms is evaluated.
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