  Within the last years pressure robust methods for the discretization of
incompressible fluids have been developed. These methods allow the use of
standard finite elements for the solution of the problem while simultaneously
removing a spurious pressure influence in the approximation error of the
velocity of the fluid, or the displacement of an incompressible solid. To this
end, reconstruction operators are utilized mapping discretely divergence free
functions to divergence free functions. This work shows that the modifications
proposed for Stokes equation by Linke (2014) also yield gradient robust methods
for nearly incompressible elastic materials without the need to resort to
discontinuous finite elements methods as proposed in Fu, Lehrenfeld, Linke,
Streckenbach (2021).
