A Posteriori Error Estimates for Biot System using Enriched Galerkin for Flow

Keywords: compositional multiphase flow, phase transition, complementarity condition, semismooth New- ton method, a posteriori error estimate, adaptivity, stopping criterion..

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

Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations. Elliptic reconstruction and a posteriori error estimates for parabolic

A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods.. Emmanuel Creusé,

Pour (A.20), les problèmes d’existence et de régularité de la solution extrémale sont à peu près les mêmes (tout se ramène à obtenir une borne L ∞ uniforme sur les

by Chen for the regular potential [4] and by Chen and Elliott for the double obstacle potential [5], who show a first order error estimate via

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

Key words: two-phase Darcy flow, discontinuous capillary pressure, finite volume scheme, domain de- composition method, optimized Schwarz waveform relaxation, Robin and