## Spectral variational approach to the non-Newtonian Stokes problem
in a spherical shell

**Ondrej Cadek** ** , **
**Zdenek Martinec** ** & **
**Ctirad Matyska**
### Summary

The hybrid-variational formulation of the Stokes equation for
incompressible non-Newtonian flow is suggested. A spherical harmonic
technique is adopted to discretize the problem.
In the case of non-Newtonian rheology, the energy
functional becomes non-quadratic. To minimize it on the set of admissible
stress-functions, the gradient method is used and the convergence of
the method is demonstrated.

Computer Physics Communications, **71** (1992), 56-70.