Eigenvalue problems with sign-changing coefficients

We give an a posteriori error estimator for nonconforming finite element approximations of diffusion- reaction and Stokes problems, which relies on the solution of local problems

A posteriori error estimates for finite element discretization of (1.1a)–(1.1b) have been a pop- ular research subject starting from the Babuˇska and Rheinboldt work [8]. One

The motivation for considering bilaplacian operators with a sign-changing coefficient finds its origin in the study of some configurations of the Interior Transmission

Vogel, Symmetry and regularity for general regions having solutions to certain overdetermined boundary value problems, Atti

A posteriori error analysis, distributed optimal control problems, control constraints, adaptive finite element methods, residual-type a posteriori error estimators, data

The general convergence theory from [22, 29] states that if the discretization of a linear problem is stable, the a posteriori error estimators constitute an upper bound for the

For continuous Galerkin finite element methods, there now exists a large amount of literature on a posteriori error estimations for (positive definite) problems in mechanics

Convergence rates for FEMs with numerical quadrature are thus essential in the analysis of numerical homogenization methods and the a priori error bounds derived in this paper allow