A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS

Crouzeix-Raviart element, nonconforming method, stabilized method, nonlocking, a posteriori error estimates.. AMS

Generalized multiscale finite element methods (GMsFEM).. Theory and practice of finite elements, volume 159 of Applied Mathematical Sciences. Element diameter free stability

We derive an a posteriori error estimation for the discrete duality finite volume (DDFV) discretization of the stationary Stokes equations on very general twodimensional meshes, when

Our estimates yield a guaranteed and fully computable upper bound on the error measured in the space-time energy norm of [19, 20], at each iteration of the space-time DD

In this work we present robust a posteriori error estimates for a discretization of the heat equation by conforming finite elements and a classical A-stable θ -scheme, avoiding

We consider a variational formulation of the three-dimensional Navier–Stokes equations with mixed boundary conditions and prove that the variational problem admits a solution

The two-grid method is a general strategy for solving a non-linear Partial Differential Equation (PDE), depending or not in time, with solution u. In a first step, we discretize the

This paper deals with the a posteriori analysis of the heat equation approximated using backward Euler’s scheme in time and a (piecewise linear) nonconforming finite