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Pré-Publication, Document De Travail Année : 2024

Fractional-step methods and PSPG stabilized finite elements for the transient Stokes equations

Résumé

We propose an error analysis for a numerical approximation of the the transient Stokes problem which combines an incremental pressure-correction fractional-step scheme in time with a PSPG (pressure stabilized Petrov–Galerkin) finite element method in space. Optimal velocity convergence is obtained for affine approximations, whereas an inverse CFL condition is required with high-order polynomials and for the pressure.
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Dates et versions

hal-04629064 , version 1 (28-06-2024)

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  • HAL Id : hal-04629064 , version 1

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Rodolfo Araya, Miguel Angel Fernández. Fractional-step methods and PSPG stabilized finite elements for the transient Stokes equations. 2024. ⟨hal-04629064⟩
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