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A pressure‐robust weak Galerkin finite element method for <scp>Navier–Stokes</scp> equations

A pressure‐robust weak Galerkin finite element method for <scp>Navier–Stokes</scp> equations

Abstract In this article, we develop and analyze a novel numerical scheme for the steady incompressible Navier–Stokes equations by the weak Galerkin methods. By employing the divergence‐preserving velocity reconstruction operator, our algorithm can achieve pressure‐robustness, which means, the velocity error is independent of the pressure and the irrotational body force. …