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