Streamfunction from vorticity or velocity field

Dear all,
I have a a given matrix containing information on velocity vector (u) and vorticity (omega) at specific x,y,z-positions. I now need to calculate the corresponding so called streamfunction psi defined as:
\nabla ^{2}\psi =-\omega
which basically is a Poisson equation in 3D. Does anyone know if this can be solved using Matlab?
Thanks for the help.
/David

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2015-12-15

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