An adaptive residual local projection finite element method for the navier–stokes equations
Date
2014Author
Araya, Rodolfo
Poza, Abner H.
Valentin, Frédérich
Publisher
SpringerDescription
Artículo de publicación ISIMetadata
Show full item recordAbstract
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 to the natural norms. The error estimator relies on a Residual Local Projection (RELP)
finite element method for which we prove well-posedness under mild conditions. Several well-established
numerical tests assess the theoretical results