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
34442002
Discontinuous Galerkin methods: theory, computation and applications
B Cockburn, GE Karniadakis, CW Shu
Springer Science & Business Media, 2012
2839*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
22851989
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
22191998
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
19661998
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems
B Cockburn, CW Shu
Journal of scientific computing 16 (3), 173-261, 2001
18152001
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
16061990
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
14351989
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
9402009
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
6861991
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
5512000
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
3062004
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
2922009
Discontinuous Galerkin methods for elliptic problems
DN Arnold, F Brezzi, B Cockburn, D Marini
Discontinuous Galerkin Methods, 89-101, 2000
2892000
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
2842005
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
2832001
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
2702002
An introduction to the discontinuous Galerkin method for convection-dominated problems
B Cockburn
Advanced numerical approximation of nonlinear hyperbolic equations, 150-268, 1998
2701998
for conservation laws II: general framework
B Cockburn, CW Shu
Math. Comput 52, 411-435, 1989
2681989
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
2592008
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