An adaptive residual local projection finite element method for the Navier-Stokes equations

作者：Araya Rodolfo; Poza Abner H^*; Valentin Frederic

来源：Advances in Computational Mathematics, 2014, 40(5-6): 1093-1119.

DOI：10.1007/s10444-014-9343-6

• Navier-Stokes equations
• Stabilized finite element methods
• A posteriori error estimates

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. 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.

• 出版日期2014-12