Spatial error estimates for a finite element viscosity-splitting scheme for the Navier-Stokes equations (Q2865646)
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scientific article; zbMATH DE number 6235036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spatial error estimates for a finite element viscosity-splitting scheme for the Navier-Stokes equations |
scientific article; zbMATH DE number 6235036 |
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2 December 2013
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Navier-Stokes equations
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splitting in time schemes
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fully discrete schemes
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error estimates
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mixed formulation
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stable finite elements
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Spatial error estimates for a finite element viscosity-splitting scheme for the Navier-Stokes equations (English)
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The authors obtain optimal first order error estimates for a fully discrete fractional-step scheme applied to the Navier-Stokes equations. This scheme uses decomposition of the viscosity in time and finite elements (FE) in space.NEWLINENEWLINEOne uses a time-discrete scheme as an auxiliary problem to study a fully discrete finite element scheme, obtaining optimal first order approximation for velocity and pressure with respect to the max-norm in time and the \(H^{1}\times L^{2}\)-norm in space.
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