A fully discrete DG-IMEX pressure-correction scheme for the PNP-NS equations is proposed, with optimal L2 and energy-norm error estimates plus exact discrete mass conservation for both ion species.
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A completely discrete DG finite element scheme with first-order time discretization is proposed for the incompressible chemotaxis-Navier-Stokes equations, yielding optimal L2 and H1 error bounds for density, concentration, and velocity plus L2 for pressure.
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Discontinuous Galerkin IMEX Pressure Correction Scheme for the Poisson-Nernst-Planck-Navier-Stokes Equations
A fully discrete DG-IMEX pressure-correction scheme for the PNP-NS equations is proposed, with optimal L2 and energy-norm error estimates plus exact discrete mass conservation for both ion species.
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On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations
A completely discrete DG finite element scheme with first-order time discretization is proposed for the incompressible chemotaxis-Navier-Stokes equations, yielding optimal L2 and H1 error bounds for density, concentration, and velocity plus L2 for pressure.