F. Bassi, and S. Rebay A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations Journal of Computational Physics 131 1997 267 279
B. Cockburn, and C.W. Shur The local discontinuous Galerkin finite element method for convection-diffusion systems SIAM Journal on Numerical Analysis 35 1998 337 361
D. Arnold, F. Brezzi, B. Cockburn, and L. Marini Unified analysis of discontinuous Galerkin methods for elliptic problems SIAM Journal on Numerical Analysis 39 2002 1749 1779
J. Douglas, and T. Dupont Interior penalty procedures for elliptic and parabolic Galerkin methods Computing Methods in Applied Sciences Lecture Notes in Physics vol. 58 1976 Springer 207 216
F. Bassi, and S. Rebay Numerical evaluation of two discontinuous Galerkin methods for the compressible Navier-Stokes equations International Journal for Numerical Methods in Fluids 40 2002 197 207
R. Hartmann, and P. Houston An optimal interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations Journal of Computational Physics 227 22 2008 9670 9685
K. Shahbazi An explicit expression for the penalty parameter of the interior penalty method Journal of Computational Physics 205 2005 401 407
Y. Epshteyn, and B. Riviere Estimation of penalty parameters for symmetric interior penalty Galerkin methods Journal of Computational and Applied Mathematics 206 2007 843 872 10.1016/j.cam.2006.08.029
R. Hartmann, and P. Houston Symmetric interior penalty DG method for the compressible Navier-Stokes equations I: formulation International Journal of Numerical Analysis and Modeling 3 1 2006 1 20
V. Dolejsi, M. Feistauer, and V. Sobotikova Analysis of the discontinuous Galerkin method for nonlinear convection-diffusion problems Computational Methods in Applied Mechanical Engineering 194 2005 2709 2733
B. Rivière Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations - Theory and Implementation 2008 Society for Industrial and Applied Mathematics SIAM
P.R. Spalart, S.R. Allmaras, A one-equation turbulence model for aerodynamic flows, AIAA paper, 1992, 92-0439.
M. Drosson, K. Hillewaert, J.-A. Essers, Stability and boundary resolution analysis of the discontinuous Galerkin method applied to the Reynolds-averaged Navier-Stokes equations using the Spalart-Allmaras model, SIAM Journal on Scientific Computing (submitted for publication).
T. Warburton, and J.S. Hesthaven On the constants in hp-finite element trace inverse inequalities Computer Methods in Applied Mechanics and Engineering 192 2003 2765 2773
K. Hillewaert, M. Drosson, J.-F. Remacle, Sharp constants in the hp-finite element trace inverse inequality for standard functional spaces on all element types in hybrid meshes, SIAM Journal on Numerical Analysis (submitted for publication).
L. Georges, K. Hillewaert, R. Capart, J.-F. Thomas, T. Louagie, P. Geuzaine, RANS-LES simulations around complex geometries using unstructured compressible flow solver, in: Proceedings of the 7th International ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements, Limasol, Cyprus, 2008.