Abstract
Least-squares finite element methods (LSFEMs) for the incompressible Stokes equations that use nodal C 0 elements conserve mass approximately. This has led to the common and widespread misconception that LSFEMs are unable to provide the local conservation of their mixed cousins. We develop a mimetic LSFEM for the Stokes equations that yields divergence-free velocity fields and satisfies a discrete momentum equation. The LSFEM uses the velocity-vorticity-pressure Stokes equations, div-conforming elements for the velocity, curl-conforming elements for the vorticity and discontinuous elements for the pressure.
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