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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
40312002
Discontinuous Galerkin methods: theory, computation and applications
B Cockburn, GE Karniadakis, CW Shu
Springer Science & Business Media, 2012
3371*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
3129*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
27431989
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
26551998
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
26331998
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems
B Cockburn, CW Shu
Journal of scientific computing 16, 173-261, 2001
21942001
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
16931989
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
11802009
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
8141991
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
6352000
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
3652009
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
3622004
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
3552005
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
3382001
Discontinuous Galerkin methods for elliptic problems
DN Arnold, F Brezzi, B Cockburn, D Marini
Discontinuous Galerkin Methods: Theory, Computation and Applications, 89-101, 2000
3292000
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
3281998
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
3232002
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
3062008
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
2902011
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