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
36532002
Discontinuous Galerkin methods: theory, computation and applications
B Cockburn, GE Karniadakis, CW Shu
Springer Science & Business Media, 2012
3010*2012
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
24191989
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
23611998
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
20851998
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems
B Cockburn, CW Shu
Journal of scientific computing 16 (3), 173-261, 2001
19452001
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
B Cockburn, S Hou, CW Shu
Mathematics of Computation 54 (190), 545-581, 1990
16801990
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
15251989
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
10192009
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
7311991
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
5862000
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
3222004
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
3182009
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
3102005
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
3002001
Discontinuous Galerkin methods for elliptic problems
DN Arnold, F Brezzi, B Cockburn, D Marini
Discontinuous Galerkin Methods, 89-101, 2000
2982000
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
2922002
An introduction to the discontinuous Galerkin method for convection-dominated problems
B Cockburn
Advanced numerical approximation of nonlinear hyperbolic equations, 150-268, 1998
2821998
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
2752008
A projection-based error analysis of HDG methods
B Cockburn, J Gopalakrishnan, FJ Sayas
Mathematics of Computation 79 (271), 1351-1367, 2010
2612010
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