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.

In this paper we prove some superconvergence of a new family of mixed finite element spaces of higher order we introduced in [ETNA, Vol.37, pp.189–201, 2010]. Among all the mixed finite element spaces having optimal order of convergence on quadrilateral grids, this space has the smallest unknowns. However, the scalar variable is only suboptimal in general; thus we have employed a post-processin...

The contribution of our paper is to present a mixed finite element method for 4 estimation of the velocity in the optical flow constraint, i.e., an advection equation. The resulting 5 inverse problem is well-known to be undetermined because the velocity vector cannot be recovered 6 from the scalar field advected unless further restrictions on the flow, or motion are imposed. If 7 we suppose, fo...