Now showing items 1-6 of 6
An adaptive residual local projection finite element method for the navier–stokes equations
This work proposes and analyses an adaptive finite element scheme for the fully non-linear incompressible Navier-Stokes equations. A residual a posteriori error estimator is shown to be effective and reliable with respect ...
An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses
In this paper, we provide a priori and a posteriori error analyses of an augmented mixed finite element method with Lagrange multipliers applied to elliptic equations in divergence form with mixed boundary conditions. The ...
An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow
In this paper we develop an a posteriori error analysis for an augmented discontinuous Garlerkin formulation applied to the Darcy flow. More precisely, we derive a reliable and efficient a posteriori error estimator, ...
Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
We consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to implement than the ones available in the literature. In ...
Error estimators for advection–reaction–diffusion equations based on the solution of local problems
This paper deals with a posteriori error estimates for advection–reaction–diffusion equations. In particular, error estimators based on the solution of local problems are derived for a stabilized finite element method. ...
An adaptive stabilized finite element scheme for a water quality model
Residual type a posteriori error estimators are introduced in this paper for an advection–diffusion–reaction problem with a Dirac delta source term. The error is measured in an adequately weighted W1,pW1,p-norm. These ...