  The multimesh finite element method enables the solution of partial
differential equations on a computational mesh composed by multiple arbitrarily
overlapping meshes. The discretization is based on a continuous--discontinuous
function space with interface conditions enforced by means of Nitsche's method.
In this contribution, we consider the Stokes problem as a first step towards
flow applications. The multimesh formulation leads to so called cut elements in
the underlying meshes close to overlaps. These demand stabilization to ensure
coercivity and stability of the stiffness matrix. We employ a consistent
least-squares term on the overlap to ensure that the inf-sup condition holds.
We here present the method for the Stokes problem, discuss the implementation,
and verify that we have optimal convergence.
