Unified analysis of discontinuous Galerkin methods for elliptic problems DN Arnold, F Brezzi, B Cockburn, LD Marini SIAM journal on numerical analysis 39 (5), 1749-1779, 2002 | 4291 | 2002 |
Discontinuous Galerkin methods: theory, computation and applications B Cockburn, GE Karniadakis, CW Shu Springer Science & Business Media, 2012 | 3905* | 2012 |
The Runge–Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems B Cockburn, CW Shu Journal of computational physics 141 (2), 199-224, 1998 | 3296* | 1998 |
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework B Cockburn, CW Shu Mathematics of computation 52 (186), 411-435, 1989 | 2968 | 1989 |
The local discontinuous Galerkin method for time-dependent convection-diffusion systems B Cockburn, CW Shu SIAM journal on numerical analysis 35 (6), 2440-2463, 1998 | 2874 | 1998 |
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws B Cockburn, CW Shu, C Johnson, E Tadmor, CW Shu Advanced Numerical Approximation of Nonlinear Hyperbolic Equations: Lectures …, 1998 | 2840 | 1998 |
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems B Cockburn, CW Shu Journal of scientific computing 16, 173-261, 2001 | 2362 | 2001 |
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems B Cockburn, SY Lin, CW Shu Journal of computational Physics 84 (1), 90-113, 1989 | 1817 | 1989 |
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems B Cockburn, J Gopalakrishnan, R Lazarov SIAM Journal on Numerical Analysis 47 (2), 1319-1365, 2009 | 1347 | 2009 |
The Runge-Kutta local projection-discontinuous-Galerkin finite element method for scalar conservation laws B Cockburn, CW Shu ESAIM: Mathematical Modelling and Numerical Analysis 25 (3), 337-361, 1991 | 871 | 1991 |
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems P Castillo, B Cockburn, I Perugia, D Schötzau SIAM Journal on Numerical Analysis 38 (5), 1676-1706, 2000 | 672 | 2000 |
An implicit high-order hybridizable discontinuous Galerkin method for linear convection–diffusion equations NC Nguyen, J Peraire, B Cockburn Journal of Computational Physics 228 (9), 3232-3254, 2009 | 403 | 2009 |
A locally conservative LDG method for the incompressible Navier-Stokes equations B Cockburn, G Kanschat, D Schötzau Mathematics of computation 74 (251), 1067-1095, 2005 | 391 | 2005 |
Locally divergence-free discontinuous Galerkin methods for the Maxwell equations B Cockburn, F Li, CW Shu Journal of Computational Physics 194 (2), 588-610, 2004 | 380 | 2004 |
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids B Cockburn, G Kanschat, I Perugia, D Schötzau SIAM Journal on Numerical Analysis 39 (1), 264-285, 2001 | 374 | 2001 |
Discontinuous Galerkin methods for elliptic problems DN Arnold, F Brezzi, B Cockburn, D Marini Discontinuous Galerkin Methods: Theory, Computation and Applications, 89-101, 2000 | 357 | 2000 |
Local discontinuous Galerkin methods for the Stokes system B Cockburn, G Kanschat, D Schötzau, C Schwab SIAM Journal on Numerical Analysis 40 (1), 319-343, 2002 | 351 | 2002 |
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems B Cockburn, B Dong, J Guzmán Mathematics of Computation 77 (264), 1887-1916, 2008 | 344 | 2008 |
A projection-based error analysis of HDG methods B Cockburn, J Gopalakrishnan, FJ Sayas Mathematics of Computation 79 (271), 1351-1367, 2010 | 336 | 2010 |
An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations NC Nguyen, J Peraire, B Cockburn Journal of Computational Physics 230 (4), 1147-1170, 2011 | 325 | 2011 |