A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence

An interior penalty discontinuous Galerkin approach for 3D incompressible Navier–Stokes equation for permeability estimation of porous media

(2019) Chen Liu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier–Stokes equations

(2018) Marian Piatkowski et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convergence of IPDG for coupled time-dependent Navier–Stokes and Darcy equations

(2017) Nabil Chaabane et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the stability of projection methods for the incompressible Navier–Stokes equations based on high-order discontinuous Galerkin discretizations

(2017) Niklas Fehn et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Strong convergence of discrete DG solutions of the heat equation

(2016) Vivette Girault et al.   Journal of Numerical Mathematics

A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure

(2010) Lorenzo Botti et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations

(2010) Daniele A. Di Pietro et al.   MATHEMATICS OF COMPUTATION

DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition

(2009) Vivette Girault et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS