Bernardo Cockburn - Publications

Affiliations: 
University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics

164 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Cockburn B, Fu G, Qiu W. Discrete $H^1$-Inequalities for Spaces Admitting M-Decompositions Siam Journal On Numerical Analysis. 56: 3407-3429. DOI: 10.1137/17M1144830  0.8
2018 Cockburn B, Fu G. Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions Ima Journal of Numerical Analysis. 38: 566-604. DOI: 10.1093/Imanum/Drx025  0.72
2017 Cockburn B, Fu G. A Systematic Construction of Finite Element Commuting Exact Sequences Siam Journal On Numerical Analysis. 55: 1650-1688. DOI: 10.1137/16M1073352  0.72
2017 Cockburn B, Fu G. Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements∗ Mathematical Modelling and Numerical Analysis. 51: 365-398. DOI: 10.1051/M2An/2016023  0.72
2017 Cockburn B, Fu G. Superconvergence by M-decompositions. Part II: Construction of two-dimensional finite elements Mathematical Modelling and Numerical Analysis. 51: 165-186. DOI: 10.1051/M2An/2016016  0.72
2017 Cockburn B, Wang Z. Adjoint-Based, Superconvergent Galerkin Approximations of Linear Functionals Journal of Scientific Computing. 73: 644-666. DOI: 10.1007/S10915-017-0507-7  1
2016 Cockburn B, Shen J. A hybridizable discontinuous Galerkin method for the p-Laplacian Siam Journal On Scientific Computing. 38: A545-A566. DOI: 10.1137/15M1008014  1
2016 Cockburn B, Fu G, Qiu W. A note on the devising of superconvergent HDG methods for Stokes flow by M-decompositions Ima Journal of Numerical Analysis. 37: 730-749. DOI: 10.1093/Imanum/Drw029  0.8
2016 Chen Y, Cockburn B, Dong B. A new discontinuous Galerkin method, conserving the discrete H2-norm, for third-order linear equations in one space dimension Ima Journal of Numerical Analysis. 36: 1570-1598. DOI: 10.1093/Imanum/Drv070  1
2016 Cesmelioglu A, Cockburn B, Qiu W. Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations Ieee Communications Magazine. 86: 1643-1670. DOI: 10.1090/Mcom/3195  0.8
2016 Cockburn B, Fu G, Sayas FJ. Superconvergence by M-decompositions. Part I: General theory for HDG methods for diffusion Ieee Communications Magazine. 86: 1609-1641. DOI: 10.1090/Mcom/3140  0.72
2016 Chen Y, Cockburn B, Dong B. Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension Ieee Communications Magazine. 85: 2715-2742. DOI: 10.1090/Mcom/3091  1
2016 Cockburn B, Nochetto RH, Zhang W. Contraction property of adaptive hybridizable discontinuous galerkin methods Mathematics of Computation. 85: 1113-1141. DOI: 10.1090/Mcom/3014  1
2016 Stanglmeier M, Nguyen NC, Peraire J, Cockburn B. An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation Computer Methods in Applied Mechanics and Engineering. 300: 748-769. DOI: 10.1016/J.Cma.2015.12.003  1
2016 Chung E, Cockburn B, Fu G. The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow Journal of Scientific Computing. 66: 870-887. DOI: 10.1007/S10915-015-0047-Y  1
2016 Mustapha K, Nour M, Cockburn B. Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems Advances in Computational Mathematics. 42: 377-393. DOI: 10.1007/S10444-015-9428-X  1
2015 Nguyen NC, Peraire J, Cockburn B. A class of embedded discontinuous Galerkin methods for computational fluid dynamics Journal of Computational Physics. 302: 674-692. DOI: 10.1016/J.Jcp.2015.09.024  1
2015 Nguyen NC, Peraire J, Reitich F, Cockburn B. A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation Journal of Computational Physics. 290: 318-335. DOI: 10.1016/J.Jcp.2015.02.002  1
2015 Kabaria H, Lew AJ, Cockburn B. A hybridizable discontinuous Galerkin formulation for non-linear elasticity Computer Methods in Applied Mechanics and Engineering. 283: 303-329. DOI: 10.1016/J.Cma.2014.08.012  1
2015 Cockburn B, Mustapha K. A hybridizable discontinuous Galerkin method for fractional diffusion problems Numerische Mathematik. 130: 293-314. DOI: 10.1007/S00211-014-0661-X  1
2015 Fu G, Cockburn B, Stolarski H. Analysis of an HDG method for linear elasticity International Journal For Numerical Methods in Engineering. 102: 551-575. DOI: 10.1002/Nme.4781  0.72
2014 Chung E, Cockburn B, Fu G. The staggered DG method is the limit of a hybridizable DG method Siam Journal On Numerical Analysis. 52: 915-932. DOI: 10.1137/13091573X  1
2014 Cockburn B, Dubois O, Gopalakrishnan J, Tan S. Multigrid for an HDG method Ima Journal of Numerical Analysis. 34: 1386-1425. DOI: 10.1093/Imanum/Drt024  1
2014 Cockburn B, Sayas FJ. Divergence-conforming HDG methods for stokes flows Mathematics of Computation. 83: 1571-1598. DOI: 10.1090/S0025-5718-2014-02802-0  1
2014 Cockburn B, Zhang W. An a posteriori error estimate for the variable-degree Raviart-Thomas method Mathematics of Computation. 83: 1063-1082. DOI: 10.1090/S0025-5718-2013-02789-5  1
2014 Cockburn B, Qiu W, Solano M. A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity Mathematics of Computation. 83: 665-699. DOI: 10.1090/S0025-5718-2013-02747-0  1
2014 Cockburn B, Quenneville-Bélair V. Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation Mathematics of Computation. 83: 65-85. DOI: 10.1090/S0025-5718-2013-02743-3  1
2014 Cockburn B, Qiu W. Commuting diagrams for the tnt elements on cubes Mathematics of Computation. 83: 603-633. DOI: 10.1090/S0025-5718-2013-02729-9  1
2014 Chen Y, Cockburn B. Analysis of variable-degree HDG methods for convection-diffusion equations. Part II: Semimatching nonconforming meshes Mathematics of Computation. 83: 87-111. DOI: 10.1090/S0025-5718-2013-02711-1  1
2014 Cockburn B, Kao CY, Reitich F. An adaptive spectral/DG method for a reduced phase-space based level set approach to geometrical optics on curved elements Journal of Computational Physics. 259: 636-649. DOI: 10.1016/J.Jcp.2013.12.018  1
2014 Cockburn B, Shi K. Devising HDG methods for Stokes flow: An overview Computers and Fluids. 98: 221-229. DOI: 10.1016/J.Compfluid.2013.11.017  1
2014 Cockburn B, Solano M. Solving convection-diffusion problems on curved domains by extensions from subdomains Journal of Scientific Computing. 59: 512-543. DOI: 10.1007/S10915-013-9776-Y  1
2013 Cockburn B, Zhang W. A posteriori error analysis for hybridizable discontinuous Galerkin methods for second order elliptic problems Siam Journal On Numerical Analysis. 51: 676-693. DOI: 10.1137/120866269  1
2013 Cockburn B, Shi K. Superconvergent HDG methods for linear elasticity with weakly symmetric stresses Ima Journal of Numerical Analysis. 33: 747-770. DOI: 10.1093/Imanum/Drs020  1
2013 Cockburn B, Shi K. Conditions for superconvergence of HDG methods for stokes flow Mathematics of Computation. 82: 651-671. DOI: 10.1090/S0025-5718-2012-02644-5  1
2013 Cockburn B, Merev I, Qian J. Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations Mathematics of Computation. 82: 187-212. DOI: 10.1090/S0025-5718-2012-02610-X  1
2013 Cesmelioglu A, Cockburn B, Nguyen NC, Peraire J. Analysis of HDG methods for oseen equations Journal of Scientific Computing. 55: 392-431. DOI: 10.1007/S10915-012-9639-Y  1
2012 Cockburn B, Qiu W, Shi K. Superconvergent hdg methods on isoparametric elements for second-order elliptic problems Siam Journal On Numerical Analysis. 50: 1417-1432. DOI: 10.1137/110840790  1
2012 Cockburn B, Sayas FJ, Solano M. Coupling at a distance HDG and BEM Siam Journal On Scientific Computing. 34. DOI: 10.1137/110823237  1
2012 Cockburn B, Guzman J, Sayas FJ. Coupling of Raviart-Thomas and hybridizable discontinuous Galerkin methods with BEM Siam Journal On Numerical Analysis. 50: 2778-2801. DOI: 10.1137/100818339  1
2012 Cockburn B, Solano M. Solving dirichlet boundary-value problems on curved domains by extensions from subdomains Siam Journal On Scientific Computing. 34. DOI: 10.1137/100805200  1
2012 Chen Y, Cockburn B. Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: General nonconforming meshes Ima Journal of Numerical Analysis. 32: 1267-1293. DOI: 10.1093/Imanum/Drr058  1
2012 Cockburn B, Sayas FJ. The devising of symmetric couplings of boundary element and discontinuous Galerkin methods Ima Journal of Numerical Analysis. 32: 765-794. DOI: 10.1093/Imanum/Drr019  1
2012 Cockburn B, Cui J. An analysis of HDG methods for the vorticity-velocity-pressure formulation of the stokes problem in three dimensions Mathematics of Computation. 81: 1355-1368. DOI: 10.1090/S0025-5718-2011-02575-5  1
2012 Cockburn B, Qiu W, Shi K. Conditions for superconvergence of HDG methods for second-order elliptic problems Mathematics of Computation. 81: 1327-1353. DOI: 10.1090/S0025-5718-2011-02550-0  1
2012 Rhebergen S, Cockburn B. A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains Journal of Computational Physics. 231: 4185-4204. DOI: 10.1016/J.Jcp.2012.02.011  1
2012 Cockburn B, Cui J. Divergence-free HDG methods for the vorticity-velocity formulation of the stokes problem Journal of Scientific Computing. 52: 256-270. DOI: 10.1007/S10915-011-9542-Y  1
2012 Cockburn B, Zhang W. A posteriori error estimates for HDG methods Journal of Scientific Computing. 51: 582-607. DOI: 10.1007/S10915-011-9522-2  1
2012 Kirby RM, Sherwin SJ, Cockburn B. To CG or to HDG: A comparative study Journal of Scientific Computing. 51: 183-212. DOI: 10.1007/S10915-011-9501-7  1
2011 Boodram LG, Miyake K, Hayes MG, Bell GI, Cockburn BN. Association of the KCNJ11 variant E23K with type 2 diabetes in Indo-Trinidadians. The West Indian Medical Journal. 60: 604-7. PMID 22512215  0.52
2011 Chabaud B, Cockburn B. Uniform-in-time superconvergence of HDG methods for the heat equation Mathematics of Computation. 81: 107-129. DOI: 10.1090/S0025-5718-2011-02525-1  1
2011 Celiker F, Cockburn B, Shi K. A projection-based error analysis of HDG methods for Timoshenko beams Mathematics of Computation. 81: 131-151. DOI: 10.1090/S0025-5718-2011-02522-6  1
2011 Cockburn B, Gopalakrishnan J, Nguyen NC, Peraire J, Sayas FJ. Analysis of hdg methods for stokes flow Mathematics of Computation. 80: 723-760. DOI: 10.1090/S0025-5718-2010-02410-X  1
2011 Nguyen NC, Peraire J, Cockburn B. Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations Journal of Computational Physics. 230: 7151-7175. DOI: 10.1016/J.Jcp.2011.05.018  1
2011 Nguyen NC, Peraire J, Cockburn B. High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics Journal of Computational Physics. 230: 3695-3718. DOI: 10.1016/J.Jcp.2011.01.035  1
2011 Nguyen NC, Peraire J, Cockburn B. An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations Journal of Computational Physics. 230: 1147-1170. DOI: 10.1016/J.Jcp.2010.10.032  1
2011 Peraire J, Nguyen NC, Cockburn B. An embedded discontinuous galerkin method for the compressible euler and navier-stokes equations 20th Aiaa Computational Fluid Dynamics Conference 2011 1
2010 Cockburn B, Gopalakrishnan J, Li F, Nguyen NC, Peraire J. Hybridization and postprocessing techniques for mixed eigenfunctions Siam Journal On Numerical Analysis. 48: 857-881. DOI: 10.1137/090765894  1
2010 Cockburn B, Dong B, Guzmán J, Qian J. Optimal convergence of the original DG method on special meshes for variable transport velocity Siam Journal On Numerical Analysis. 48: 133-146. DOI: 10.1137/080740805  1
2010 Cockburn B, Gopalakrishnan J, Guzman J. A new elasticity element made for enforcing weak stress symmetry Mathematics of Computation. 79: 1331-1349. DOI: 10.1090/S0025-5718-10-02343-4  1
2010 Cockburn B, Gopalakrishnan J, Sayas FJ. A projection-based error analysis of HDG methods Mathematics of Computation. 79: 1351-1367. DOI: 10.1090/S0025-5718-10-02334-3#Sthash.W1Arfsef.Dpuf  1
2010 Nguyen NC, Peraire J, Cockburn B. A hybridizable discontinuous Galerkin method for Stokes flow Computer Methods in Applied Mechanics and Engineering. 199: 582-597. DOI: 10.1016/J.Cma.2009.10.007  1
2010 Cockburn B, Nguyen NC, Peraire J. A comparison of HDG methods for stokes flow Journal of Scientific Computing. 45: 215-237. DOI: 10.1007/S10915-010-9359-0  1
2010 Celiker F, Cockburn B, Shi K. Hybridizable discontinuous galerkin methods for timoshenko beams Journal of Scientific Computing. 44: 1-37. DOI: 10.1007/S10915-010-9357-2  1
2010 Cockburn B, Gupta D, Reitich F. Boundary-conforming discontinuous galerkin methods via extensions from subdomains Journal of Scientific Computing. 42: 144-184. DOI: 10.1007/S10915-009-9321-1  1
2010 Cockburn B. The hybridizable discontinuous Galerkin methods Proceedings of the International Congress of Mathematicians 2010, Icm 2010. 2749-2775.  1
2010 Nguyen NC, Peraire J, Cockburn B. A hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations 48th Aiaa Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition 1
2010 Peraire J, Nguyen NC, Cockburn B. A hybridizable discontinuous Galerkin method for the compressible euler and Navier-Stokes equations 48th Aiaa Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition 1
2009 AlSaraj F, McDermott JH, Cawood T, McAteer S, Ali M, Tormey W, Cockburn BN, Sreenan S. Prevalence of the metabolic syndrome in patients with diabetes mellitus. Irish Journal of Medical Science. 178: 309-13. PMID 19495843 DOI: 10.1007/s11845-009-0302-z  0.52
2009 Cockburn B, Guzmán J, Soon S, Stolarski HK. An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems Siam Journal On Numerical Analysis. 47: 2686-2707. DOI: 10.1137/080726914  0.72
2009 Cockburn B, Gopalakrishnan J. The derivation of hybridizable discontinuous Galerkin methods for Stokes flow Siam Journal On Numerical Analysis. 47: 1092-1125. DOI: 10.1137/080726653  1
2009 Cockburn B, Gopalakrishnan J, Lazarov R. Unified hybridization of discont inuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems Siam Journal On Numerical Analysis. 47: 1319-1365. DOI: 10.1137/070706616  1
2009 Cockburn B, Guzmán J, Wang H. Superconvergent discontinuous galerkin methods for second-order elliptic problems Mathematics of Computation. 78: 1-24. DOI: 10.1090/S0025-5718-08-02146-7  1
2009 Nguyen NC, Peraire J, Cockburn B. An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations Journal of Computational Physics. 228: 8841-8855. DOI: 10.1016/J.Jcp.2009.08.030  1
2009 Ryan JK, Cockburn B. Local derivative post-processing for the discontinuous Galerkin method Journal of Computational Physics. 228: 8642-8664. DOI: 10.1016/J.Jcp.2009.08.017  1
2009 Nguyen NC, Peraire J, Cockburn B. An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations Journal of Computational Physics. 228: 3232-3254. DOI: 10.1016/j.jcp.2009.01.030  1
2009 Cockburn B, Shu CW. Journal of Scientific Computing: Foreword Journal of Scientific Computing. 40: 1-3. DOI: 10.1007/s10915-009-9298-9  1
2009 Cockburn B, Dong B, Guzmán J. A hybridizable and superconvergent discontinuous galerkin method for biharmonic problems Journal of Scientific Computing. 40: 141-187. DOI: 10.1007/S10915-009-9279-Z  1
2009 Cockburn B, Kanschat G, Schötzau D. An equal-order DG method for the incompressible navier-stokes equations Journal of Scientific Computing. 40: 188-210. DOI: 10.1007/S10915-008-9261-1  1
2009 Cockburn B. Two new techniques for generating exactly incompressible approximate velocities Computational Fluid Dynamics 2006 - Proceedings of the Fourth International Conference On Computational Fluid Dynamics, Iccfd 2006. 3-13. DOI: 10.1007/978-3-540-92779-2-1  1
2009 Soon SC, Cockburn B, Stolarski HK. A hybridizable discontinuous Galerkin method for linear elasticity International Journal For Numerical Methods in Engineering. 80: 1058-1092. DOI: 10.1002/Nme.2646  1
2008 Cockburn B, Dong B, Guzmán J. Optimal convergence of the original DG method for the transport-reaction equation on special meshes Siam Journal On Numerical Analysis. 46: 1250-1265. DOI: 10.1137/060677215  1
2008 Cockburn B, Guzmán J. Error estimates for the Runge-Kutta discontinuous Galerkin method for the transport equation with discontinuous initial data Siam Journal On Numerical Analysis. 46: 1364-1398. DOI: 10.1137/060668936  1
2008 Cockburn B, Dong B, Guzmán J. A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems Mathematics of Computation. 77: 1887-1916. DOI: 10.1090/S0025-5718-08-02123-6  1
2008 Cockburn B, Wang H. The computation of a locally conservative stress for the continuous Galerkin method for compressible linearly elastic materials Journal of Scientific Computing. 36: 151-163. DOI: 10.1007/S10915-007-9182-4  1
2007 Cockburn B, Gopalakrishnan J, Wang H. Locally conservative fluxes for the continuous Galerkin method Siam Journal On Numerical Analysis. 45: 1742-1776. DOI: 10.1137/060666305  1
2007 Celiker F, Cockburn B. Superconvergence of the numerical traces of discontinuous Galerkin and hybridized methods for convection-diffusion problems in one space dimension Mathematics of Computation. 76: 67-96. DOI: 10.1090/S0025-5718-06-01895-3  1
2007 Chen Y, Cockburn B. An adaptive high-order discontinuous Galerkin method with error control for the Hamilton-Jacobi equations. Part I: The one-dimensional steady state case Journal of Computational Physics. 226: 1027-1058. DOI: 10.1016/J.Jcp.2007.05.003  1
2007 Cockburn B, Dong B. An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems Journal of Scientific Computing. 32: 233-262. DOI: 10.1007/S10915-007-9130-3  1
2007 Cockburn B, Ichikawa R. Adjoint recovery of superconvergent linear functionals from Galerkin approximations. The one-dimensional case Journal of Scientific Computing. 32: 201-232. DOI: 10.1007/S10915-007-9129-9  1
2007 Cockburn B, Kanschat G, Schötzau D. A note on discontinuous galerkin divergence-free solutions of the navier-stokes equations Journal of Scientific Computing. 31: 61-73. DOI: 10.1007/S10915-006-9107-7  1
2007 Güzey S, Cockburn B, Stolarski HK. The embedded discontinuous Galerkin method: Application to linear shell problems International Journal For Numerical Methods in Engineering. 70: 757-790. DOI: 10.1002/Nme.1893  1
2006 Celiker F, Cockburn B, Stolarski HK. Locking-free optimal discontinuous galerkin methods for timoshenko beams Siam Journal On Numerical Analysis. 44: 2297-2325. DOI: 10.1137/050635821  1
2006 Carrero J, Cockburn B, Schötzau D. Hybridized globally divergence-free LDG methods. Part I: The stokes problem Mathematics of Computation. 75: 533-563. DOI: 10.1090/S0025-5718-05-01804-1  1
2006 Güzey S, Stolarski HK, Cockburn B, Tamma KK. Design and development of a discontinuous Galerkin method for shells Computer Methods in Applied Mechanics and Engineering. 195: 3528-3548. DOI: 10.1016/J.Cma.2005.08.001  1
2006 Cockburn B, Schötzau D, Wang J. Discontinuous Galerkin methods for incompressible elastic materials Computer Methods in Applied Mechanics and Engineering. 195: 3184-3204. DOI: 10.1016/J.Cma.2005.07.003  1
2006 Brezzi F, Cockburn B, Marini LD, Süli E. Stabilization mechanisms in discontinuous Galerkin finite element methods Computer Methods in Applied Mechanics and Engineering. 195: 3293-3310. DOI: 10.1016/J.Cma.2005.06.015  1
2006 Celiker F, Cockburn B. Element-by-element post-processing of discontinuous galerkin methods for timoshenko beams Journal of Scientific Computing. 27: 177-187. DOI: 10.1007/S10915-005-9057-5  1
2005 Cockburn B, Gopalakrishnan J. Incompressible finite elements via hybridization. Part II: The Stokes system in three space dimensions Siam Journal On Numerical Analysis. 43: 1651-1672. DOI: 10.1137/040610659  1
2005 Cockburn B, Gopalakrishnan J. Incompressible finite elements via hybridization. Part I: The Stokes system in two space dimensions Siam Journal On Numerical Analysis. 43: 1627-1650. DOI: 10.1137/04061060X  1
2005 Cockburn B, Gopalakrishnan J. Error analysis of variable degree mixed methods for elliptic problems via hybridization Mathematics of Computation. 74: 1653-1677. DOI: 10.1090/S0025-5718-05-01741-2  1
2005 Cockburn B, Kanschat G, Schötzau D. A locally conservative LDG method for the incompressible Navier-Stokes equations Mathematics of Computation. 74: 1067-1095. DOI: 10.1090/S0025-5718-04-01718-1  1
2005 Cockburn B, Yenikaya B. An adaptive method with rigorous error control for the Hamilton-Jacobi equations. Part II: The two-dimensional steady-state case Journal of Computational Physics. 209: 391-405. DOI: 10.1016/J.Jcp.2005.02.033  1
2005 Cockburn B, Qian J, Reitich F, Wang J. An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics Journal of Computational Physics. 208: 175-195. DOI: 10.1016/J.Jcp.2005.02.009  1
2005 Cockburn B, Kanschat G, Schötzau D. The local discontinuous Galerkin method for linearized incompressible fluid flow: A review Computers and Fluids. 34: 491-506. DOI: 10.1016/J.Compfluid.2003.08.005  1
2005 Cockburn B, Yenikaya B. An adaptive method with rigorous error control for the Hamilton-Jacobi equations. Part I: The one-dimensional steady state case Applied Numerical Mathematics. 52: 175-195. DOI: 10.1016/J.Apnum.2004.08.030  1
2005 Adams S, Cockburn B. A mixed finite element method for elasticity in three dimensions Journal of Scientific Computing. 25: 515-521. DOI: 10.1007/S10915-004-4807-3  1
2005 Chen MH, Cockburn B, Reitich F. High-order RKDG methods for computational electromagnetics 3rd M.I.T. Conference On Computational Fluid and Solid Mechanics. 1069-1071. DOI: 10.1007/S10915-004-4152-6  1
2005 Bustinza R, Gatica GN, Cockburn B. An a posteriori error estimate for the local discontinuous Galerkin method applied to linear and nonlinear diffusion problems Journal of Scientific Computing. 22: 147-185. DOI: 10.1007/S10915-004-4137-5  1
2005 Cockburn B, Gopalakrishnan J. New hybridization techniques Gamm-Mitteilungen. 28: 154-182. DOI: 10.1002/Gamm.201490017  0.6
2005 Celiker F, Cockburn B. Superconvergence of hp-discontinuous Galerkin methods for convection-diffusion problems 3rd M.I.T. Conference On Computational Fluid and Solid Mechanics. 140-141.  1
2005 Cockburn B, Ichikawa D. Superconvergence of linear functionals by discontinuous Galerkin approximations 3rd M.I.T. Conference On Computational Fluid and Solid Mechanics. 1087-1089.  1
2005 Celiker F, Cockburn B, Stolarski HK, Tamma KK. Locking-free hp-discontinuous Galerkin methods for Timoshenko beams 3rd M.I.T. Conference On Computational Fluid and Solid Mechanics. 142-144.  1
2005 Siddharth S, Carrero J, Cockburn B, Tamma KK, Kanapady R. The local discontinuous Galerkin method and component design integration for 3D elasticity 3rd M.I.T. Conference On Computational Fluid and Solid Mechanics. 492-494.  1
2004 Cockburn B, Gopalakrishnan J. A characterization of hybridized mixed methods for second order elliptic problems Siam Journal On Numerical Analysis. 42: 283-301. DOI: 10.1137/S0036142902417893  1
2004 Cockburn B, Kanschat G, Schötzau D. The local discontinuous Galerkin method for the Oseen equations Mathematics of Computation. 73: 569-593. DOI: 10.1090/S0025-5718-03-01552-7  1
2004 Cockburn B, Li F, Shu CW. Locally divergence-free discontinuous Galerkin methods for the Maxwell equations Journal of Computational Physics. 194: 588-610. DOI: 10.1016/J.Jcp.2003.09.007  1
2003 Cockburn B. Continuous dependence and error estimation for viscosity methods Acta Numerica. 12: 127-180. DOI: 10.1017/S0962492902000107  1
2003 Cockburn B, Li F, Shu CW. Discontinuous Galerkin methods for equations with divergence-free solutions: Preliminary results Computational Fluid and Solid Mechanics 2003. 1900-1902. DOI: 10.1016/B978-008044046-0.50465-6  1
2003 Cockburn B. Discontinuous Galerkin methods Zeitschrift Fur Angewandte Mathematik Und Mechanik. 83: 731-754. DOI: 10.1002/Zamm.200310088  1
2002 Cockburn B, Kanschat G, Schötzau D, Schwab C. Local discontinuous Galerkin methods for the stokes system Siam Journal On Numerical Analysis. 40: 319-343. DOI: 10.1137/S0036142900380121  1
2002 Cockburn B, Kanschat G, Perugia I, Schötzau D. Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids Siam Journal On Numerical Analysis. 39: 264-285. DOI: 10.1137/S0036142900371544  1
2002 Albert S, Cockburn B, French DA, Peterson TE. A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case Mathematics of Computation. 71: 49-76. DOI: 10.1090/S0025-5718-01-01346-1  1
2002 Castillo P, Cockburn B, Schötzau D, Schwab C. Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems Mathematics of Computation. 71: 455-478. DOI: 10.1090/S0025-5718-01-01317-5  1
2002 Cockburn B, Dawson C. Approximation of the velocity by coupling discontinuous Galerkin and mixed finite element methods for flow problems Computational Geosciences. 6: 505-522. DOI: 10.1023/A:1021203618109  1
2002 Castillo P, Cockburn B, Perugia I, Schötzau D. Local discontinuous Galerkin methods for elliptic problems Communications in Numerical Methods in Engineering. 18: 69-75. DOI: 10.1002/Cnm.471  1
2001 Arnold DN, Brezzi F, Cockburn B, Donatella Marini L. Unified analysis of discontinuous Galerkin methods for elliptic problems Siam Journal On Numerical Analysis. 39: 1749-1779. DOI: 10.1137/S0036142901384162  1
2001 Castillo P, Cockburn B, Perugia I, Schötzau D. An a priori error analysis of the local discontinuous Galerkin method for elliptic problems Siam Journal On Numerical Analysis. 38: 1676-1706. DOI: 10.1137/S0036142900371003  1
2001 Cockburn B. Devising descontinuous Galerkin methods for non-linear hyperbolic conservation laws Journal of Computational and Applied Mathematics. 128: 187-204. DOI: 10.1016/S0377-0427(00)00512-4  1
2001 Cockburn B, Gripenberg G, Londen SO. Continuous Dependence on the Nonlinearity of Viscosity Solutions of Parabolic Equations Journal of Differential Equations. 170: 180-187. DOI: 10.1006/Jdeq.2000.3802  1
2001 Cockburn B, Shu CW. Runge-Kutta Discontinuous Galerkin methods for convection-dominated problems Journal of Scientific Computing. 16: 173-261.  1
2000 Aizinger V, Dawson C, Cockburn B, Castillo P. The local discontinuous Galerkin method for contaminant transport Advances in Water Resources. 24: 73-87. DOI: 10.1016/S0309-1708(00)00022-1  1
1999 Zhou YP, Cockburn BN, Pugh W, Polonsky KS. Basal insulin hypersecretion in insulin-resistant Zucker diabetic and Zucker fatty rats: role of enhanced fuel metabolism. Metabolism: Clinical and Experimental. 48: 857-64. PMID 10421226 DOI: 10.1016/S0026-0495(99)90219-6  0.52
1999 Sreenan S, Keck S, Fuller T, Cockburn B, Burant CF. Effects of troglitazone on substrate storage and utilization in insulin-resistant rats. The American Journal of Physiology. 276: E1119-29. PMID 10362626  0.52
1999 Hathout EH, Cockburn BN, Mace JW, Sharkey J, Chen-Daniel J, Bell GI. A case of hepatocyte nuclear factor-1 alpha diabetes/MODY3 masquerading as type 1 diabetes in a Mexican-American adolescent and responsive to a low dose of sulfonylurea. Diabetes Care. 22: 867-8. PMID 10332709 DOI: 10.2337/Diacare.22.5.867  0.52
1999 Lindner TH, Cockburn BN, Bell GI. Molecular genetics of MODY in Germany. Diabetologia. 42: 121-3. PMID 10027594 DOI: 10.1007/s001250051128  0.52
1999 Cockburn B, Gripenberg G. Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations Journal of Differential Equations. 151: 231-251. DOI: 10.1006/Jdeq.1998.3499  1
1998 Sreenan SK, Cockburn BN, Baldwin AC, Ostrega DM, Levisetti M, Grupe A, Bell GI, Stewart TA, Roe MW, Polonsky KS. Adaptation to hyperglycemia enhances insulin secretion in glucokinase mutant mice. Diabetes. 47: 1881-8. PMID 9836519 DOI: 10.2337/Diabetes.47.12.1881  0.52
1998 Njølstad PR, Cockburn BN, Bell GI, Søvik O. A missense mutation, Val62Ala, in the glucokinase gene in a Norwegian family with maturity-onset diabetes of the young. Acta Paediatrica (Oslo, Norway : 1992). 87: 853-6. PMID 9736233 DOI: 10.1080/080352598750013626  0.52
1998 Deyrup AT, Krishnan S, Cockburn BN, Schwartz NB. Deletion and site-directed mutagenesis of the ATP-binding motif (P-loop) in the bifunctional murine ATP-sulfurylase/adenosine 5'-phosphosulfate kinase enzyme. The Journal of Biological Chemistry. 273: 9450-6. PMID 9545271 DOI: 10.1074/Jbc.273.16.9450  0.52
1998 Cockburn B, Shu C. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems Siam Journal On Numerical Analysis. 35: 2440-2463. DOI: 10.1137/S0036142997316712  0.56
1998 Cockburn B, Gremaud PA, Yang JX. A priori error estimates for numerical methods for scalar conservation laws part III: Multidimensional flux-splitting monotone schemes on non-cartesian grids Siam Journal On Numerical Analysis. 35: 1775-1803. DOI: 10.1137/S0036142997316165  1
1998 Cockburn B, Shu CW. The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems Journal of Computational Physics. 141: 199-224. DOI: 10.1006/Jcph.1998.5892  1
1998 Cockburn B, Shu CW. The local discontinuous galerkin method for time-dependent convection-diffusion systems Siam Journal On Numerical Analysis. 35: 2440-2463.  1
1997 Horikawa Y, Iwasaki N, Hara M, Furuta H, Hinokio Y, Cockburn BN, Lindner T, Yamagata K, Ogata M, Tomonaga O, Kuroki H, Kasahara T, Iwamoto Y, Bell GI. Mutation in hepatocyte nuclear factor-1 beta gene (TCF2) associated with MODY. Nature Genetics. 17: 384-5. PMID 9398836 DOI: 10.1038/Ng1297-384  0.52
1997 Cockburn BN, Ostrega DM, Sturis J, Kubstrup C, Polonsky KS, Bell GI. Changes in pancreatic islet glucokinase and hexokinase activities with increasing age, obesity, and the onset of diabetes. Diabetes. 46: 1434-9. PMID 9287043 DOI: 10.2337/Diab.46.9.1434  0.52
1997 Cockburn B, Jones DA, Titi ES. Estimating the number of asymptotic degrees of freedom for nonlinear dissipatlve systems Mathematics of Computation. 66: 1073-1087. DOI: 10.1090/S0025-5718-97-00850-8  1
1997 Cockburn B, Gremaud PA. A priori error estimates for numerical methods for scalar conservation laws. Part II: Flux-splitting monotone schemes on irregular Cartesian grids Mathematics of Computation. 66: 547-572. DOI: 10.1090/S0025-5718-97-00838-7  1
1996 Cockburn B, Gau H. A model numerical scheme for the propagation of phase transitions in solids Siam Journal On Scientific Computing. 17: 1092-1121. DOI: 10.1137/S106482759426688X  1
1996 Cockburn B, Gremaud PA. Error estimates for finite element methods for scalar conservation laws Siam Journal On Numerical Analysis. 33: 522-554. DOI: 10.1137/0733028  1
1996 Cockburn B, Gremaud PA. A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach Mathematics of Computation. 65: 533-573. DOI: 10.1090/S0025-5718-96-00701-6  1
1996 Cockburn B, Gripenberg G, Londen SO. On convergence to entropy solutions of a single conservation law Journal of Differential Equations. 128: 206-251. DOI: 10.1006/Jdeq.1996.0094  1
1995 Cockburn BN, Coore HG. Starvation reduces pyruvate dehydrogenase phosphate phosphatase activity in rat kidney. Molecular and Cellular Biochemistry. 149: 131-6. PMID 8569722 DOI: 10.1007/BF01076571  0.52
1995 Chen Z, Cockburn B, Jerome JW, Shu CW. Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation Vlsi Design. 3: 145-158. DOI: 10.1155/1995/47065  1
1995 Chen Z, Cockburn B. Analysis of a finite element method forthe drift-diffusion semiconductor device equations: the multidimensional case Numerische Mathematik. 71: 1-28. DOI: 10.1007/S002110050134  1
1995 Chen Z, Cockburn B, Gardner CL, Jerome JW. Quantum Hydrodynamic Simulation of Hysteresis in the Resonant Tunneling Diode Journal of Computational Physics. 117: 274-280. DOI: 10.1006/Jcph.1995.1065  1
1994 Cockburn B, Coquel F, Lefloch P. An error estimate for finite volume methods for multidimensional conservation laws Mathematics of Computation. 63: 77-103. DOI: 10.2307/2153563  1
1994 Chen Z, Cockburn B. Error estimates for a finite element method for the drift-diffusion semiconductor device equations Siam Journal On Numerical Analysis. 31: 1062-1089. DOI: 10.1137/0731056  0.72
1992 Cockburn B, Triandaf I. Convergence of a finite element method for the drift-diffusion semiconductor device equations: The zero diffusion case Mathematics of Computation. 59: 383-401. DOI: 10.1090/S0025-5718-1992-1145661-0  1
1991 Cockburn B. On the continuity in bv(Ώ) of the l2–projection into finite element spaces Mathematics of Computation. 57: 551-561. DOI: 10.1090/S0025-5718-1991-1094943-9  1
1990 Cockburn B, Hou S, Shu CW. The runge-kuttal ocal projection discontinuous galerkin finite element method for conservation laws iv: The multidimensional case Mathematics of Computation. 54: 545-581. DOI: 10.1090/S0025-5718-1990-1010597-0  1
1989 Cockburn B, Shu CW. Tvb runge-kutta local projection discontinuous galerkin finite element method for conservation laws ii: General framework Mathematics of Computation. 52: 411-435. DOI: 10.1090/S0025-5718-1989-0983311-4  1
1989 Bamberger A, Cockburn B, Goldman Y, Joly P, Kern M. Numerical solution of Maxwell's equations in a conductive and polarizable medium Computer Methods in Applied Mechanics and Engineering. 75: 11-25. DOI: 10.1016/0045-7825(89)90011-X  1
1989 Cockburn B, Lin SY, Shu CW. TVB runge-kutta local projection discontinuous galerkin finite element method for conservation laws III: One-dimensional systems Journal of Computational Physics. 84: 90-113. DOI: 10.1016/0021-9991(89)90183-6  1
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