On a stabilized colocated Finite Volume scheme for the Stokes problem
Robert Eymard, Raphaèle Herbin, Jean Claude Latché (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present and analyse in this paper a novel colocated Finite Volume scheme for the solution of the Stokes problem. It has been developed following two main ideas. On one hand, the discretization of the pressure gradient term is built as the discrete transposed of the velocity divergence term, the latter being evaluated using a natural finite volume approximation; this leads to a non-standard interpolation formula for the expression of the pressure on the edges of the control volumes. On...