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. Computable a posteriori error bounds and related adaptive meshrening,algorithms are provided for the numerical treatment of monotone stationary,ow problems with a quite general class of conforming and nonconforming,nite element methods. A rened,residual-based error estimate generalises the works of Verf urth; Dari, Duran and Padra; Bao and Barrett. As a consequence, reliable and ecient averaging estimates can be established on unstructured grids. The symmetric formulation of the incompressible,ow problem models certain nonNewtonian,ow problems and the Stokes problem with mixed boundary conditions. A Helmholtz decomposition avoids any regularity or saturation assumption in the mathematical error analysis. Numerical experiments for the partly nonconforming,method,analysed by Kouhia and Stenberg indicate eciency,of related adaptive mesh-rening algorithms.

A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems