Pre-Publicación 2018-01
Rodolfo Araya, Ramiro Rebolledo:
An a posteriori error estimator for a LPS method for Navier-Stokes equations
Abstract:
In this work we develop an a posteriori error estimator, of the hierarchical type, for the Local Projection Stabilized (LPS) finite element method introduced in [R. Araya, A. H. Poza, F. Valentin, IMA J. Numer. Anal., 36 (2016) 267-295], applied to the incompressible Navier-Stokes equations. The technique uses the solution of local problems posed on appropriate finite dimensional spaces of bubble-like functions, to approach the error. Several numerical tests confirm the theoretical properties of the estimator and its performance.
Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):
Rodolfo ARAYA, Ramiro REBOLLEDO: An a posteriori error estimator for a LPS method for Navier-Stokes equations. Applied Numerical Mathematics, vol. 127, pp. 179-195, (2018).