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Preprint 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.

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This preprint gave rise to the following definitive publication(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).

 

 

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