In this work we develop the a posteriori error analysis of an augmented mixed finite element
method for the 2D and 3D versions of the Navier–Stokes equations when the viscosity …

In this article, a reliable a posteriori error estimate of residual type is derived for a variational
inequality of second kind modeling Stokes equations with Tresca's boundary condition. Two …

This work derives a posteriori error estimates, in two and three dimensions, for the heat
equation coupled with Darcy's law by a nonlinear viscosity depending on the temperature …

In this paper, we study the a posteriori error estimate corresponding to the Brinkman–Darcy–
Forchheimer problem. We introduce the variational formulation discretized by using the finite …

In this paper we study the a posteriori error estimates for the time dependent Navier-Stokes
system coupled with the convection-diffusion-reaction equation. The problem is discretized …

In this paper we derive a posteriori error estimates for inf–sup stable mixed finite element
approximations to the evolutionary Navier–Stokes equations. We reduce the problem of …

In two dimensions, we propose and analyse an iterative a posteriori error indicator for the
discontinuous Galerkin finite element approximations of the Stokes equations under …

In this work we derive a posteriori error estimates for the convection-diffusion-reaction
equation coupled with the Darcy-Forchheimer problem by a nonlinear external source …

In this paper, we present and study a stopping criteria based on a priori error estimate for
nonlinear variational problems. We show that for nonlinear variational problems, the a priori …

This work deals with the a posteriori error estimates for the Darcy–Forchheimer problem. We
first introduce the corresponding variational formulation for the nonlinear problem and …