22 citations · 39 across the 8 of their papers we have counts for
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Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods
Gang Chen, Bernardo Cockburn, John R Singler +1
In J. Sci. Comput., 81: 2188-2212, 2019, we considered a superconvergent hybridizable discontinuous Galerkin (HDG) method, defined on simplicial meshes, for scalar reaction diffusi…
Superconvergent interpolatory HDG methods for reaction diffusion equations I: An HDG method
Gang Chen, Bernardo Cockburn, John Singler +1
In our earlier work [8], we approximated solutions of a general class of scalar parabolic semilinear PDEs by an interpolatory hybridizable discontinuous Galerkin (Interpolatory HDG…
The Weak Galerkin methods are rewritings of the Hybridizable Discontinuous Galerkin methods
Bernardo Cockburn
We establish that the Weak Galerkin methods are rewritings of the hybridizable discontinuous Galerkin methods.
Interpolatory HDG Method for Parabolic Semilinear PDEs
Bernardo Cockburn, John Richard Singler, Yangwen Zhang
We propose the interpolatory hybridizable discontinuous Galerkin (Interpolatory HDG) method for a class of scalar parabolic semilinear PDEs. The Interpolatory HDG method uses an in…
Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by -decompositions
Bernardo Cockburn, Guosheng Fu
We propose a new tool, which we call -decompositions, for devising superconvergent hybridizable discontinuous Galerkin (HDG) methods and hybridized-mixed methods for linear elas…
A systematic construction of finite element commuting exact sequences
Bernardo Cockburn, Guosheng Fu
We present a systematic construction of finite element exact sequences with a commuting diagram for the de Rham complex in one-, two- and three-space dimensions. We apply the const…
Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems
Kassem Mustapha, Maher Nour, Bernardo Cockburn
We study the hybridizable discontinuous Galerkin (HDG) method for the spatial discretization of time fractional diffusion models with Caputo derivative of order . For each t…
A hybridizable discontinuous Galerkin method for fractional diffusion problems
Bernardo Cockburn, Kassem Mustapha
We study the use of the hybridizable discontinuous Galerkin (HDG) method for numerically solving fractional diffusion equations of order with . For exact time-marching…