37 citations · 81 across the 22 of their papers we have counts for
5 papers · 1 filter
An HDG Method for Time-dependent Drift-Diffusion Model of Semiconductor Devices
Gang Chen, Peter Monk, Yangwen Zhang
We propose a hybridizable discontinuous Galerkin (HDG) finite element method to approximate the solution of the time dependent drift-diffusion problem. This system involves a nonli…
An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDE
Gang Chen, John Richard Singler, Yangwen Zhang
We first propose a hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a \emph{convection dominated} Dirichlet boundary control problem. Dirichlet bound…
A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs
Gang Chen, Guosheng Fu, John Richard Singler +1
We investigated an hybridizable discontinuous Galerkin (HDG) method for a convection diffusion Dirichlet boundary control problem in our earlier work [SIAM J. Numer. Anal. 56 (2018…
Analysis of an interior penalty DG method for the quad-curl problem
Gang Chen, Weifeng Qiu, Liwei Xu
The quad-curl term is an essential part of the resistive magnetohydrodynamic (MHD) equation and the fourth order inverse electromagnetic scattering problem, which are both of great…
Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator
Gang Chen, Jintao Cui, Liwei Xu
In this paper, we study a hybridizable discontinuous Galerkin (HDG) method for the Maxwell operator. The only global unknowns are defined on the inter-element boundaries, and the n…