A UNIFIED CONVERGENCE ANALYSIS FOR LOCAL PROJECTION STABILISATIONS APPLIED TO THE OSEEN PROBLEM

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Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. (2008, methodology): “The analysis of the local projection method applied to equal-order interpolation discretisation of the Oseen problem can be found in [5, 23].”
Efficient augmented Lagrangian‐type preconditioning for the Oseen problem using Grad‐Div stabilization (2013, background): “The solver and preconditioner concept in this paper works identically with additional, symmetric stabilization terms for the velocity, like local projection stabilization, see [21, 24, 25] and references therein.”
Simulations of Population Balance Systems with One Internal Coordinate using Finite Element Methods (2009, background): “stabilization based on local projections (Matthies et al., 2007).”
Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations (2016, methodology): “, Galerkin least-square methods [5, 7, 17, 37], pressure projection methods [8,14,18], pressure gradient projection methods [13,30], and local projection stabilized methods [6, 39,51].”