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- W2047030516 abstract "This paper deals with the numerical study of the two-dimensional Stokes equations in terms of the velocity and the vorticity. We take one of the possible sets of boundary conditions, for which the equivalence between the standard velocity-pressure Stokes system and such velocity-vorticity formulation holds. We consider the corresponding rigorous variational framework and an uncoupled solution scheme. In this context, the authors proposed several families of Galerkin finite element approximations, for which they derived optimal or suboptimal convergence results. Here their numerical approach is illustrated by several numerical examples. As a byproduct, hints are given on the best way to interpolate the different fields involved in the analogous uncoupling scheme, for solving the incompressible Navier-Stokes equations." @default.
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- W2047030516 date "1998-07-01" @default.
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- W2047030516 title "On the Velocity-Vorticity Formulation of the Two-Dimensional Stokes System and its Finite Element Approximation" @default.
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- W2047030516 doi "https://doi.org/10.1080/10618569808961671" @default.
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