Bernardo Cockburn
Orcid: 0000-0001-6085-3441Affiliations:
- University of Minnesota, USA
According to our database1,
Bernardo Cockburn
authored at least 109 papers
between 1993 and 2023.
Collaborative distances:
Collaborative distances:
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Online presence:
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on zbmath.org
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on orcid.org
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on id.loc.gov
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on d-nb.info
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on math.umn.edu
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on dl.acm.org
On csauthors.net:
Bibliography
2023
Combining finite element space-discretizations with symplectic time-marching schemes for linear Hamiltonian systems.
Frontiers Appl. Math. Stat., 2023
Efficient implementation of the hybridized Raviart-Thomas mixed method by converting flux subspaces into stabilizations.
CoRR, 2023
2022
An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations.
J. Comput. Phys., 2022
J. Comput. Phys., 2022
Discontinuous Galerkin Methods with Time-Operators in Their Numerical Traces for Time-Dependent Electromagnetics.
Comput. Methods Appl. Math., 2022
2020
Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods.
CoRR, 2020
2019
Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations I: An HDG<sub>k</sub> Method.
J. Sci. Comput., 2019
2018
SIAM J. Numer. Anal., 2018
Supercloseness of Primal-Dual Galerkin Approximations for Second Order Elliptic Problems.
J. Sci. Comput., 2018
2017
SIAM J. Numer. Anal., 2017
Superconvergence by M-decompositions. Part I: General theory for HDG methods for diffusion.
Math. Comput., 2017
Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations.
Math. Comput., 2017
J. Sci. Comput., 2017
J. Comput. Phys., 2017
2016
SIAM J. Sci. Comput., 2016
Math. Comput., 2016
Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces.
Math. Comput., 2016
Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension.
Math. Comput., 2016
The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow.
J. Sci. Comput., 2016
Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems.
Adv. Comput. Math., 2016
2015
Numerische Mathematik, 2015
A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation.
J. Comput. Phys., 2015
J. Comput. Phys., 2015
2014
SIAM J. Numer. Anal., 2014
Math. Comput., 2014
A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity.
Math. Comput., 2014
Math. Comput., 2014
Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes.
Math. Comput., 2014
Solving Convection-Diffusion Problems on Curved Domains by Extensions from Subdomains.
J. Sci. Comput., 2014
An adaptive spectral/DG method for a reduced phase-space based level set approach to geometrical optics on curved elements.
J. Comput. Phys., 2014
2013
A Posteriori Error Analysis for Hybridizable Discontinuous Galerkin Methods for Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2013
Math. Comput., 2013
A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations.
J. Comput. Phys., 2013
2012
Solving Dirichlet Boundary-value Problems on Curved Domains by Extensions from Subdomains.
SIAM J. Sci. Comput., 2012
Superconvergent HDG Methods on Isoparametric Elements for Second-Order Elliptic Problems.
SIAM J. Numer. Anal., 2012
SIAM J. Numer. Anal., 2012
Math. Comput., 2012
An analysis of HDG methods for the vorticity-velocity-pressure formulation of the Stokes problem in three dimensions.
Math. Comput., 2012
Math. Comput., 2012
Math. Comput., 2012
Divergence-Free HDG Methods for the Vorticity-Velocity Formulation of the Stokes Problem.
J. Sci. Comput., 2012
A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains.
J. Comput. Phys., 2012
2011
Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations.
J. Comput. Phys., 2011
High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics.
J. Comput. Phys., 2011
An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations.
J. Comput. Phys., 2011
2010
SIAM J. Numer. Anal., 2010
Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity.
SIAM J. Numer. Anal., 2010
Math. Comput., 2010
J. Sci. Comput., 2010
J. Sci. Comput., 2010
2009
A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems.
SIAM J. Sci. Comput., 2009
An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems.
SIAM J. Numer. Anal., 2009
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2009
SIAM J. Numer. Anal., 2009
Math. Comput., 2009
J. Sci. Comput., 2009
A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems.
J. Sci. Comput., 2009
J. Comput. Phys., 2009
An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations.
J. Comput. Phys., 2009
An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations.
J. Comput. Phys., 2009
2008
Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data.
SIAM J. Numer. Anal., 2008
Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes.
SIAM J. Numer. Anal., 2008
A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems.
Math. Comput., 2008
The Computation of a Locally Conservative Stress for the Continuous Galerkin Method for Compressible Linearly Elastic Materials.
J. Sci. Comput., 2008
2007
SIAM J. Numer. Anal., 2007
Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension.
Math. Comput., 2007
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations.
J. Sci. Comput., 2007
Adjoint Recovery of Superconvergent Linear Functionals from Galerkin Approximations. The One-dimensional Case.
J. Sci. Comput., 2007
An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection-Diffusion Problems.
J. Sci. Comput., 2007
An adaptive high-order discontinuous Galerkin method with error control for the Hamilton-Jacobi equations. Part I: The one-dimensional steady state case.
J. Comput. Phys., 2007
2006
SIAM J. Numer. Anal., 2006
Math. Comput., 2006
Element-by-Element Post-Processing of Discontinuous Galerkin Methods for Timoshenko Beams.
J. Sci. Comput., 2006
2005
Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions.
SIAM J. Numer. Anal., 2005
Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions.
SIAM J. Numer. Anal., 2005
Math. Comput., 2005
Error analysis of variable degree mixed methods for elliptic problems via hybridization.
Math. Comput., 2005
An <i>A Posteriori</i> Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems.
J. Sci. Comput., 2005
J. Sci. Comput., 2005
2004
SIAM J. Numer. Anal., 2004
2003
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations.
Math. Comput., 2003
2002
SIAM J. Numer. Anal., 2002
SIAM J. Numer. Anal., 2002
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems.
Math. Comput., 2002
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case.
Math. Comput., 2002
2001
Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids.
SIAM J. Numer. Anal., 2001
J. Sci. Comput., 2001
2000
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems.
SIAM J. Numer. Anal., 2000
1997
Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems.
Math. Comput., 1997
A priori error estimates for numerical methods for scalar conservation laws. Part II : flux-splitting monotone schemes on irregular Cartesian grids.
Math. Comput., 1997
1996
SIAM J. Sci. Comput., 1996
A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach.
Math. Comput., 1996
1995
Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation.
VLSI Design, 1995
1993
Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993