Full multigrid, a nested iteration involving multigrid, cannot be applied t
o stiff viscous flow problems without verifying the quality of the solution
from one mesh to the next one. In the case of variational approximation me
thods of finite element type, node-wise residuals cannot be directly used f
or this verification because they do not behave in accordance with the orde
r of accurate scheme, and we propose here to use a new generalized residual
; then a residual-controlled full multigrid method is built and applied to
the calculation of several 2-D compressible steady flows.