37 citations · 217 across the 22 of their papers we have counts for
5 papers · 2 filters
An HDG Method for Distributed Control of Convection Diffusion PDEs
Weiwei Hu, Jiguang Shen, John R. Singler +2
We propose a hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a distributed optimal control problem governed by an elliptic convection diffusion PDE.…
HDG-POD Reduced Order Model of the Heat Equation
Jiguang Shen, John R. Singler, Yangwen Zhang
We propose a new hybridizable discontinuous Galerkin (HDG) model order reduction technique based on proper orthogonal decomposition (POD). We consider the heat equation as a test p…
An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs
Xiao Zhang, Yangwen Zhang, John R. Singler
We propose an embedded discontinuous Galerkin (EDG) method to approximate the solution of a distributed control problem governed by convection diffusion PDEs, and obtain optimal a…
A Superconvergent Hybridizable Discontinuous Galerkin Method for Dirichlet Boundary Control of Elliptic PDEs
Weiwei Hu, Jiguang Shen, John R. Singler +2
We begin an investigation of hybridizable discontinuous Galerkin (HDG) methods for approximating the solution of Dirichlet boundary control problems governed by elliptic PDEs. Thes…
A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs
Weiwei Hu, Jiguang Shen, John R. Singler +2
We consider a distributed optimal control problem governed by an elliptic convection diffusion PDE, and propose a hybridizable discontinuous Galerkin (HDG) method to approximate th…