Tesis Doctorado
Towards fully computable error bounds for the incompressible navier-stokes equatións
Autor
Barrenechea, Gabriel
Ainsworth, Mark
University of Strathclyde
Institución
Resumen
We obtain fully computable constant free a posteriori error bouncls on simplicial meshes for: a nonconforming finite element approximations for a Stokes problem and a low-orcler conformingancl low-orcler stabilizecl conforming finite element approximations for Poisson, Stokes ancl Aclvection-Reaction-Diffusion problems. All the estim ators are completely free of unknown constantsancl provicle guaranteecl numerical bouncls on natural norms, in terms of a lower bouncl for the inf-sup constant of the unclerlying continuous problem in the Stokes case. These estimatorsare also shown to provicle a lower bouncl for the natural norms of the error up to a constant and higher arder data oscillation terms. In the Stokes problem, the adaptive selection of thestabilization parameter appears as an application. Numerical results are presentecl illustrating the theory and the performance of the error estimators.