His main research concerns Discontinuous Galerkin method, Mathematical analysis, Galerkin method, Finite element method and Runge–Kutta methods. Bernardo Cockburn interconnects Superconvergence, Applied mathematics, Discretization, Rate of convergence and Conservation law in the investigation of issues within Discontinuous Galerkin method. The study incorporates disciplines such as Projection and Stokes flow in addition to Mathematical analysis.
His research integrates issues of Elliptic curve, Compressibility, Divergence and Order of accuracy in his study of Galerkin method. His work carried out in the field of Finite element method brings together such families of science as Boundary value problem, Norm, Hyperbolic partial differential equation, Computation and Calculus. In his study, which falls under the umbrella issue of Runge–Kutta methods, Exact solutions in general relativity and Shallow water equations is strongly linked to Euler equations.
His primary scientific interests are in Discontinuous Galerkin method, Mathematical analysis, Finite element method, Applied mathematics and Superconvergence. His study in Discontinuous Galerkin method is interdisciplinary in nature, drawing from both Galerkin method, Degree, Runge–Kutta methods, Rate of convergence and Stokes flow. His Galerkin method research is multidisciplinary, relying on both Discontinuity and Stiffness matrix.
His research on Mathematical analysis frequently connects to adjacent areas such as Projection. His work deals with themes such as Upwind scheme, Lagrange multiplier, Geometry and Hyperbolic partial differential equation, which intersect with Finite element method. His research investigates the connection between Applied mathematics and topics such as Polygon mesh that intersect with issues in Linear elasticity.
His primary areas of investigation include Discontinuous Galerkin method, Superconvergence, Mathematical analysis, Applied mathematics and Finite element method. His studies in Discontinuous Galerkin method integrate themes in fields like Polygon mesh, Order, Galerkin method, Exact solutions in general relativity and Scalar. His Galerkin method study combines topics in areas such as Norm and Stiffness matrix.
His Mathematical analysis research is multidisciplinary, incorporating elements of Acoustic wave equation, Navier–Stokes equations, Compressibility and Stokes flow. Bernardo Cockburn combines subjects such as Simplex, Rate of convergence, Simple and Mathematical optimization with his study of Applied mathematics. His research in Finite element method intersects with topics in Tetrahedron and Helmholtz equation.
Bernardo Cockburn focuses on Discontinuous Galerkin method, Mathematical analysis, Superconvergence, Applied mathematics and Finite element method. The concepts of his Discontinuous Galerkin method study are interwoven with issues in Displacement, Exact solutions in general relativity, Galerkin method and Polygon mesh. Bernardo Cockburn has included themes like Multigrid algorithm, Multigrid method, Norm and Prolongation in his Galerkin method study.
His Mathematical analysis research is multidisciplinary, incorporating perspectives in Rate of convergence, Compressibility, Order and Degree. His study looks at the intersection of Superconvergence and topics like Acoustic wave equation with Scalar field, Wave equation, Runge–Kutta methods and Upwind scheme. His studies deal with areas such as Simple and Mathematical optimization as well as Applied mathematics.
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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
Douglas N. Arnold;Franco Brezzi;Bernardo Cockburn;L. Donatella Marini.
SIAM Journal on Numerical Analysis (2001)
The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V
Bernardo Cockburn;Chi-Wang Shu.
Journal of Computational Physics (1998)
TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework
Bernardo Cockburn;Chi Wang Shu.
Mathematics of Computation (1989)
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
Bernardo Cockburn;Chi-Wang Shu;Chi-Wang Shu.
SIAM Journal on Numerical Analysis (1998)
The Development of Discontinuous Galerkin Methods
Bernardo Cockburn;George E. Karniadakis;Chi-Wang Shu.
(2000)
Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
Bernardo Cockburn;Chi-Wang Shu.
(2000)
Regular ArticleThe Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems☆
Bernardo Cockburn;Chi-Wang Shu.
Journal of Computational Physics (1998)
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
Bernardo Cockburn;Bernardo Cockburn;Suchung Hou;Suchung Hou;Chi Wang Shu;Chi Wang Shu.
Mathematics of Computation (1990)
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems
B. Cockburn;S.-Y. Lin;C.-W. Shu.
Journal of Computational Physics (1989)
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
Bernardo Cockburn;Jayadeep Gopalakrishnan;Raytcho Lazarov.
SIAM Journal on Numerical Analysis (2009)
Profile was last updated on December 6th, 2021.
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