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

Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system... Helmholtz

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

For this purpose, we derive an a posteriori error estimate of the total error (which includes both discretization and modeling errors) and develop a solution strategy, based on

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

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

The basic discretization of this problem relies on the use of the backward Euler scheme with respect to the time variable and of finite elements with respect to the space variables,