Quasi-optimal and pressure robust discretizations of the Stokes equations
Quasi-optimal and pressure robust discretizations
of the Stokes equations
Pietro Zanotti (Università di Pavia).
We introduce some new discretizations of the stationary
Stokes equations based on general, possibly nonconforming,
inf-sup stable pairs of finite element spaces on simplicial
meshes. The discretizations are carefully designed in order
to achieve the following error estimates. The velocity
H^1-error is proportional to the corresponding best error
within the discrete velocity space and the sum of the
velocity H^1-error and of the pressure L^2-error is
proportional to the sum of the respective best errors.
The first estimate, in particular, was previously obtained
only by discretizations with the so-called conforming
and divergence-free pairs.