37 citations · 184 across the 24 of their papers we have counts for
8 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…
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…
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
Wei Gong, Weiwei Hu, Mariano Mateos +2
We consider an unconstrained tangential Dirichlet boundary control problem for the Stokes equations with an penalty on the boundary control. The contribution of this paper…
An EDG Method for Distributed Optimal Control of Elliptic PDEs
Xiao Zhang, Yangwen Zhang, John R. Singler
We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive op…
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs I: High Regularity
Weiwei Hu, Mariano Mateos, John R. Singler +1
We propose a new hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a Dirichlet boundary control problem governed by an elliptic convection diffusion P…
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity
Weiwei Hu, Mariano Mateos, John R. Singler +2
In the first part of this work, we analyzed a Dirichlet boundary control problem for an elliptic convection diffusion PDE and proposed a new hybridizable discontinuous Galerkin (HD…