A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems

Abstract

A dual mixed finite element method, for quasi-Newtonian fluid flow obeying to the power law, is constructed and analyzed in [8]. This mixed formulation possesses local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. We propose here an a posteriori error analysis for this mixed formulation.