Follow
Bernardo Cockburn
Bernardo Cockburn
Professor of Mathematics, University of Minnesota
Verified email at math.umn.edu
Title
Cited by
Cited by
Year
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
42622002
Discontinuous Galerkin methods: theory, computation and applications
B Cockburn, GE Karniadakis, CW Shu
Springer Science & Business Media, 2012
3571*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
3310*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
29411989
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
28391998
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
28361998
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems
B Cockburn, CW Shu
Journal of scientific computing 16, 173-261, 2001
23652001
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
18181989
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
13182009
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
8671991
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
6632000
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
3922009
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
3812005
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
3792004
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
3662001
An introduction to the discontinuous Galerkin method for convection-dominated problems
B Cockburn, CW Shu, C Johnson, E Tadmor, B Cockburn
Advanced Numerical Approximation of Nonlinear Hyperbolic Equations: Lectures …, 1998
3581998
Discontinuous Galerkin methods for elliptic problems
DN Arnold, F Brezzi, B Cockburn, D Marini
Discontinuous Galerkin Methods: Theory, Computation and Applications, 89-101, 2000
3542000
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
3462002
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
3332008
A projection-based error analysis of HDG methods
B Cockburn, J Gopalakrishnan, FJ Sayas
Mathematics of Computation 79 (271), 1351-1367, 2010
3202010
The system can't perform the operation now. Try again later.
Articles 1–20