37 citations · 81 across the 22 of their papers we have counts for
6 papers · 1 filter
A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs
Gang Chen, Liangya Pi, Yangwen Zhang
We devised a first order time stepping ensemble hybridizable discontinuous Galerkin (HDG) method for a group of parameterized convection diffusion PDEs with different initial condi…
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…
Superconvergent HDG methods for Maxwell's equations via the -decomposition
Gang Chen, Peter Monk, Yangwen Zhang
The concept of the -decomposition was introduced by Cockburn et al.\ in Math. Comp.\ vol.\ 86 (2017), pp.\ 1609-1641 {to provide criteria to guarantee optimal convergence rates…
A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations
Gang Chen, Liangya Pi, Liwei Xu +1
In this paper, we first devise an ensemble hybridizable discontinuous Galerkin (HDG) method to efficiently simulate a group of parameterized convection diffusion PDEs. These PDEs h…
A hybridizable discontinuous Galerkin method for the quad-curl problem
Gang Chen, Jintao Cui, Liwei Xu
The quad-curl problem arises in magnetohydrodynamics, inverse electromagnetic scattering and transform eigenvalue problems. In this paper we investigate a hybridizable discontinuou…
On the superconvergence of a hydridizable discontinuous Galerkin method for the Cahn-Hilliard equation
Gang Chen, Daozhi Han, John Singler +1
We propose a hydridizable discontinuous Galerkin (HDG) method for solving the Cahn-Hilliard equation. The temporal discretization can be based on either the backward Euler method o…