.. _secspatialstokes:

The Stokes equations
--------------------

The Stokes equations generalize the simple example of the Poisson equation on various levels. First of all, the Stokes equations are a system of two partial differential equations, one for the velocity field and one for the pressure field. Secondly, the Stokes equations involve the velocity as a vectorial unknown. Additionally, particular care has to be taken in the choice of the used finite element spaces for the velocity-pressure discretization.

Therefore, the Stokes equations constitute a perfect example to progress from the simple Poisson equation to more complex problems. 

.. toctree::
   :maxdepth: 5
   :hidden:

   stokes/weakform.rst
   stokes/implement.rst
   stokes/nonnewton.rst
   stokes/puredirichlet.rst
   stokes/dimtraction.rst
   stokes/nonormalflow.rst   
   stokes/stokeslaw.rst   
   stokes/cr.rst   
   stokes/inverse_problem.rst