Published

A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polyhedral Meshes

Long Chen and Feng Wang

Journal of Scientific Computing, 78(2), 864--886, 2019

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ABSTRACT:

Some virtual element methods on polygonal/polyhedral meshes
for the Stokes problem are proposed and analyzed. The pressure is
approximated by discontinuous polynomials, while the velocity is
discretized by H(div) virtual elements with some tangential
polynomials on the faces. The main feature of the method is that it
exactly preserves the divergence free constraint, and therefore the
error estimates for the velocity does not explicitly depend on the
pressure.