Boujemâa Achchab, Abdellatif AGOUZAL (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose and analyse a abstract framework for augmented mixed formulations. We give error estimate in the general case: conforming and nonconforming approximations with or without numerical integration. Finally, error estimator is given. An example of stabilized formulation for Stokes problem is analysed.
Gerd Kunert (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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Singularly perturbed problems often yield solutions with strong directional features, with boundary layers. Such anisotropic solutions lend themselves to adapted, anisotropic discretizations. The quality of the corresponding numerical solution is a key issue in any computational simulation. To this end we present a new robust error estimator for a singularly perturbed reaction-diffusion problem. In contrast to conventional estimators, our proposal is suitable for finite element...