Abstract

We study the drag error for the Navier–Stokes equations approximated by conforming low-order finite elements. The numerical scheme uses a SUPG stabilization and a new Nitche’s type stabilization on the whole boundary. We introduce a definition of the discrete drag which contains additional terms resulting from the discrete formulat. We prove O(h2) convergence for the drag error and illustrate the theoretical results by numerical tests. The extension to other finite element methods is also discussed.

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