## Variational approach to modeling present-time mantle convection

**Ondrej Cadek** ** & **
**Ctirad Matyska**
### Summary

An analogy of the Hellinger-Reissner functional for the Stokes problem is
constructed and the way of determining its minimum by means of spherical
harmonic vectors and tensors is described. The variational method is
applied to a Newtonian mantle in which the body forces were estimated on the
basis of global inversion of gravitational and topographic data. The method
is then generalized to the case of a realistic rheology (power-law creep), and
prospects of the generalised method are briefly discussed.

Studia geophys. et geod., **36** (1992), 215-229.