Browsing by Author "Poza, Abner H."

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A stabilised finite element method for the convection–diffusion–reaction equation in mixed form

Barrenechea, Gabriel R.; Poza, Abner H.; Yorston, Heather (2018-09)

This paper is devoted to the approximation of the convection–diffusion–reaction equation using a mixed, first-order, formulation. We propose, and analyse, a stabilised finite element method that allows equal order ...
An adaptive multiscale hybrid-mixed method for the Oseen equations

Araya, Rodolfo; Cárcamo, Cristián; Poza, Abner H.; Valentin, Frédéric (2021)

A novel residual a posteriori error estimator for the Oseen equations achieves efficiency and reliability by including multilevel contributions in its construction. Originates from the Multiscale Hybrid Mixed (MHM) method, ...
An adaptive residual local projection finite element method for the navier–stokes equations

Araya, Rodolfo; Poza, Abner H.; Valentin, Frédérich (2014)

This work proposes and analyses an adaptive finite element scheme for the fully non-linear incompressible Navier-Stokes equations. A residual a posteriori error estimator is shown to be effective and reliable with respect ...