Bernardo Cockburn

Bernardo Cockburn, Ngoc Cuong Nguyen, Jaime Peraire, 2010, 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.

A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

Bo Dong, Bernardo Cockburn, Johnny Guzmán, 2008, Math. Comput..

An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection–Diffusion Problems

Bo Dong, Bernardo Cockburn, Bernardo Cockburn, 2007, J. Sci. Comput..

A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2004, SIAM J. Numer. Anal..

Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension

Bo Dong, Yanlai Chen, Bernardo Cockburn, 2016, Math. Comput..

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems

Bernardo Cockburn, Dominik Schötzau, Christoph Schwab, 2002, Math. Comput..

Some Extensions Of The Local Discontinuous Galerkin Method For Convection-Diffusion Equations In Mul

Clint Dawson, Bernardo Cockburn, Bernardo Cockburn, 1999 .

Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension

Fatih Celiker, Bernardo Cockburn, Bernardo Cockburn, 2007, Math. Comput..

An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations

Bernardo Cockburn, Ngoc Cuong Nguyen, Jaime Peraire, 2009, J. Comput. Phys..

The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2009, SIAM J. Numer. Anal..

Local derivative post-processing for the discontinuous Galerkin method

Jennifer K. Ryan, Bernardo Cockburn, Bernardo Cockburn, 2009, J. Comput. Phys..

An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems

Bernardo Cockburn, Gabriel N. Gatica, Rommel Bustinza, 2005, J. Sci. Comput..

A Posteriori Error Estimates for HDG Methods

Bernardo Cockburn, Wujun Zhang, 2012, J. Sci. Comput..

A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach

Bernardo Cockburn, Pierre-Alain Gremaud, Bernardo Cockburn, 1996, Math. Comput..

Contraction property of adaptive hybridizable discontinuous Galerkin methods

Ricardo H. Nochetto, Wujun Zhang, Bernardo Cockburn, 2015, Math. Comput..

Space-Time Hybridizable Discontinuous Galerkin Method for the Advection–Diffusion Equation on Moving and Deforming Meshes

Sander Rhebergen, Bernardo Cockburn, Bernardo Cockburn, 2013 .

Hybridizable Discontinuous Galerkin Methods

Bernardo Cockburn, Ngoc Cuong Nguyen, Jaime Peraire, 2011 .

Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity

Bo Dong, Bernardo Cockburn, Jianliang Qian, 2010, SIAM J. Numer. Anal..

Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes

Bo Dong, Bernardo Cockburn, Johnny Guzmán, 2008, SIAM J. Numer. Anal..

Design and development of a discontinuous Galerkin method for shells

Kumar K. Tamma, Sukru Guzey, Bernardo Cockburn, 2006 .

The local discontinuous Galerkin method for the Oseen equations

Guido Kanschat, Bernardo Cockburn, Dominik Schötzau, 2003, Math. Comput..

Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion

Francisco-Javier Sayas, Bernardo Cockburn, Guosheng Fu, 2016, Mathematics of Computation.

A Hybridizable Discontinuous Galerkin Method for the p-Laplacian

Bernardo Cockburn, Jiguang Shen, Bernardo Cockburn, 2016, SIAM J. Sci. Comput..

A hybridizable discontinuous Galerkin method for fractional diffusion problems

Kassem Mustapha, Bernardo Cockburn, Bernardo Cockburn, 2014, Numerische Mathematik.

The Staggered DG Method is the Limit of a Hybridizable DG Method

Eric T. Chung, Bernardo Cockburn, Guosheng Fu, 2014, SIAM J. Numer. Anal..

A Posteriori Error Analysis for Hybridizable Discontinuous Galerkin Methods for Second Order Elliptic Problems

Wujun Zhang, Bernardo Cockburn, Bernardo Cockburn, 2013, SIAM J. Numer. Anal..

Analysis of variable-degree HDG methods for convection–diffusion equations. Part I: general nonconforming meshes

Yanlai Chen, Bernardo Cockburn, Bernardo Cockburn, 2012 .

Conditions for superconvergence of HDG methods for second-order elliptic problems

Ke Shi, Weifeng Qiu, Bernardo Cockburn, 2012, Math. Comput..

Superconvergent HDG Methods on Isoparametric Elements for Second-Order Elliptic Problems

Ke Shi, Weifeng Qiu, Bernardo Cockburn, 2012, SIAM J. Numer. Anal..

New hybridization techniques

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005 .

Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005, SIAM J. Numer. Anal..

Error analysis of variable degree mixed methods for elliptic problems via hybridization

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005, Math. Comput..

Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions

Bernardo Cockburn, Jayadeep Gopalakrishnan, Bernardo Cockburn, 2005, SIAM J. Numer. Anal..

Numerical Resolution of Maxwell's Equations in Polarisable Media at Radio and Lower Frequencies

Bernardo Cockburn, 1985 .

An Equal-Order DG Method for the Incompressible Navier-Stokes Equations

Guido Kanschat, Bernardo Cockburn, Dominik Schötzau, 2009, J. Sci. Comput..

Interpolatory HDG Method for Parabolic Semilinear PDEs

Bernardo Cockburn, Yangwen Zhang, John R. Singler, 2018, Journal of Scientific Computing.

Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations II: HHO-Inspired Methods pdf

Gang Chen, Bernardo Cockburn, Yangwen Zhang, 2020, Communications on Applied Mathematics and Computation.

High-order RKDG Methods for Computational Electromagnetics

Fernando Reitich, Min-Hung Chen, Bernardo Cockburn, 2005, J. Sci. Comput..

A new elasticity element made for enforcing weak stress symmetry

Bernardo Cockburn, Johnny Guzmán, Jayadeep Gopalakrishnan, 2010, Math. Comput..

Locking-Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams

Fatih Celiker, Bernardo Cockburn, Henry K. Stolarski, 2006, SIAM J. Numer. Anal..

Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation

Bernardo Cockburn, Zhangxin Chen, Chi-Wang Shu, 1995, VLSI Design.

Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations

Weifeng Qiu, Bernardo Cockburn, Ayçil Çesmelioglu, 2016, Math. Comput..

Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM

Francisco-Javier Sayas, Bernardo Cockburn, Johnny Guzmán, 2012, SIAM J. Numer. Anal..

An adaptive high-order discontinuous Galerkin method with error control for the Hamilton-Jacobi equations. Part I: The one-dimensional steady state case

Yanlai Chen, Bernardo Cockburn, Bernardo Cockburn, 2007, J. Comput. Phys..

An a priori error analysis of adjoint-based super-convergent Galerkin approximations of linear functionals

Bernardo Cockburn, Shiqiang Xia, Bernardo Cockburn, 2021 .

A priori error estimates for numerical methods for scalar conservation laws. Part II : flux-splitting monotone schemes on irregular Cartesian grids

Bernardo Cockburn, Pierre-Alain Gremaud, Bernardo Cockburn, 1997, Math. Comput..

On Convergence to Entropy Solutions of A Single Conservation Law

Bernardo Cockburn, G. Gripenberg, S. Londen, 1996 .

Error estimates for a finite element method for the drift-diffusion semiconductor device equations

Bernardo Cockburn, Zhangxin Chen, Bernardo Cockburn, 1994 .

Error estimates for a finite element method for the drift-diffusion semiconductor device equations: the zero diffusion case

Bernardo Cockburn, Ioana Triandaf, 1994 .

Supplement to Convergence of a Finite Element Method for the Drift- Diffusion Semiconductor Device Equations: The Zero Diffusion Case

Bernardo Cockburn, Ioana Triandaf, 1992 .

On the Continuity in BV (Ω) of the L 2 -Projection into Finite Element Spaces

Bernardo Cockburn, Bernardo Cockburn, 1991 .

ON THE CONTINUITY IN BV(ß) OF THE L -PROJECTION INTO FINITE ELEMENT SPACES

Bernardo Cockburn, Bernardo Cockburn, 2010 .

A Priori Error Estimates for Nonlinear Scalar Conservation Laws

Bernardo Cockburn, Pierre-Alain Gremaud, Bernardo Cockburn, 1999 .

Stormer-Numerov HDG Methods for Acoustic Waves

Zhixing Fu, Francisco-Javier Sayas, Bernardo Cockburn, 2018, J. Sci. Comput..

Quasimonotone Schemes for Scalar Conservation Laws. Part II

Bernardo Cockburn, Bernardo Cockburn, 1990 .

An a posteriori error estimate for the variable-degree Raviart-Thomas method

Wujun Zhang, Bernardo Cockburn, Bernardo Cockburn, 2013, Math. Comput..

The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow

Eric T. Chung, Bernardo Cockburn, Guosheng Fu, 2015, Journal of Scientific Computing.

Symplectic Hamiltonian finite element methods for linear elastodynamics

Jaime Peraire, Manuel A. Sánchez, Bernardo Cockburn, 2021 .

Symplectic Hamiltonian HDG methods for wave propagation phenomena

B. Cockburn, J. Peraire, M.A. Sánchez, 2017, J. Comput. Phys..

Determining degrees of freedom for nonlinear dissipative equations

Bernardo Cockburn, Edriss S. Titi, Donald A. Jones, 1995 .

Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems

Bernardo Cockburn, Edriss S. Titi, Don A. Jones, 1997, Math. Comput..

A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations

Sander Rhebergen, Jaap J. W. van der Vegt, Bernardo Cockburn, 2013, J. Comput. Phys..

Boundary-Conforming Discontinuous Galerkin Methods via Extensions from Subdomains

Fernando Reitich, Bernardo Cockburn, Deepa Gupta, 2010, J. Sci. Comput..

Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems

Bernardo Cockburn, 2023, Japan Journal of Industrial and Applied Mathematics.

A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains

Sander Rhebergen, Bernardo Cockburn, Bernardo Cockburn, 2012, J. Comput. Phys..

Aeroheating Predictions of Hypersonic Flight Geometries with High-Order Discontinuous Galerkin Methods

Bernardo Cockburn, G. Candler, Zubin J. Lal, 2023, AIAA SCITECH 2023 Forum.

An adjoint-based super-convergent Galerkin approximation of eigenvalues

Bernardo Cockburn, Shiqiang Xia, Bernardo Cockburn, 2021, J. Comput. Phys..

The pursuit of a dream, Francisco Javier Sayas and the HDG methods

Bernardo Cockburn, 2021, SeMA Journal.

Supercloseness of Primal-Dual Galerkin Approximations for Second Order Elliptic Problems

Bernardo Cockburn, Chunguang Xiong, Manuel A. Sánchez, 2018, J. Sci. Comput..

Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements∗

Bernardo Cockburn, Guosheng Fu, Bernardo Cockburn, 2017 .

Locally Conservative Fluxes for the Continuous Galerkin Method

Haiying Wang, Bernardo Cockburn, Jayadeep Gopalakrishnan, 2007, SIAM J. Numer. Anal..

The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

Chi-Wang Shu, Bernardo Cockburn, 1991, ESAIM: Mathematical Modelling and Numerical Analysis.

The local projection P0-P1-discontinuous-Galerkin finite element method for scalar conservation laws

G. Chavent, B. Cockburn, Bernardo Cockburn, 1989 .

A note on the devising of superconvergent HDG methods for Stokes flow by M-decompositions

Weifeng Qiu, Bernardo Cockburn, Guosheng Fu, 2016 .

Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations

Bernardo Cockburn, Jianliang Qian, Ivan Merev, 2012, Math. Comput..

An adaptive method with rigorous error control for the Hamilton-Jacobi equations. Part II: The two-dimensional steady-state case

Bernardo Cockburn, Bayram Yenikaya, Bernardo Cockburn, 2005 .

An adaptive method with rigorous error control for the Hamilton--Jacobi equations. Part I: The one-dimensional steady state case

Bernardo Cockburn, Bayram Yenikaya, Bernardo Cockburn, 2005 .

A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case

Bernardo Cockburn, Donald A. French, Todd E. Peterson, 2001, Math. Comput..

A Systematic Construction of Finite Element Commuting Exact Sequences

Bernardo Cockburn, Guosheng Fu, Bernardo Cockburn, 2016, SIAM J. Numer. Anal..

Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems

Donald A. Jones, Bernardo Cockburn, E. Titi, 1997, Math. Comput..

Mesoscale ocean dynamics modeling

Len G. Margolin, Balasubramanya T. Nadiga, Donald A. Jones, 1996 .

Applications of the integral averaging bifurcation method to retarded functional differential equations

Bernardo Cockburn, J. Ruiz-Claeyssen, 1980 .

A Posteriori Error Analysis And Adaptivity For Finite Element Approximations Of Hyperbolic Problems

Endre Süli, Bernardo Cockburn, R. Rannacher, 1997 .

Convergence of the finite volume method for multidimensional conservation laws

Bernardo Cockburn, F. Coquel, P. LeFloch, 1995 .

Combining finite element space-discretizations with symplectic time-marching schemes for linear Hamiltonian systems

Bernardo Cockburn, M. Sánchez, Shukai Du, 2023, Frontiers in Applied Mathematics and Statistics.

A Hybridizable and Superconvergent Discontinuous Galerkin Method for Biharmonic Problems

Bo Dong, Bernardo Cockburn, Johnny Guzmán, 2009, J. Sci. Comput..

An Embedded Discontinuous Galerkin Method for the Compressible Euler and Navier-Stokes Equations

Bernardo Cockburn, Jaime Peraire, N. C. Nguyen, 2011 .

A Comparison of HDG Methods for Stokes Flow

Bernardo Cockburn, Ngoc Cuong Nguyen, Jaime Peraire, 2010, J. Sci. Comput..

Devising HDG methods for Stokes flow: An overview

Bernardo Cockburn, Ke Shi, Bernardo Cockburn, 2014 .

Analysis of HDG Methods for Oseen Equations

Bernardo Cockburn, Ngoc Cuong Nguyen, Jaime Peraire, 2013, J. Sci. Comput..

Divergence-Free HDG Methods for the Vorticity-Velocity Formulation of the Stokes Problem

Bernardo Cockburn, Jintao Cui, Bernardo Cockburn, 2012, J. Sci. Comput..

The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multi-D systems

Chi-Wang Shu, Bernardo Cockburn, 1997 .

The Utility of Modeling and Simulation in Determining Transport Performance Properties of Semiconductors

Bernardo Cockburn, Chi-Wang Shu, Joseph W. Jerome, 2000 .

Analysis of HDG methods for Stokes flow

Francisco-Javier Sayas, Bernardo Cockburn, Ngoc Cuong Nguyen, 2010, Math. Comput..