Abstract
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.
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Communicated by: S. Alben
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Araya, R., Poza, A.H. & Valentin, F. An adaptive residual local projection finite element method for the Navier–Stokes equations. Adv Comput Math 40, 1093–1119 (2014). https://doi.org/10.1007/s10444-014-9343-6
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DOI: https://doi.org/10.1007/s10444-014-9343-6