A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures

In this paper we derive a posteriori error estimates for the compositional model of multiphase Darcy flow in porous media, consisting of a system of strongly coupled nonlinear

In Farhloul and Manouzi [1], these authors have introduced a mixed finite el- ement method for problem (0.1) based on the introduction of σ = |∇ u | p − 2 ∇ u as a new unknown and

We consider a conforming finite element approximation of the Reissner-Mindlin eigenvalue system, for which a robust a posteriori error estimator for the eigenvector and the

In this work we propose and analyze two estimators (η and ˜ η) of residual type associated with two mixed finite element approximations of the two-dimensional frictionless

In Tables 5.5 through 5.10 we provide the individual and total errors, the experimental rates of convergence, the a posteriori error estimators, and the effectivity indices for

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

Two hierarchical a posteriori error estimators are derived in this section, one based on conforming face bubbles and one based on nonconforming element bubbles.. Both estimators rely

We prove local lower and global upper a posteriori error estimates for an enhanced error measure which is the discretization error in the discrete energy norm plus the error of the