37 citations · 102 across the 5 of their papers we have counts for
5 papers
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…
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…
An HDG method for linear elasticity with strong symmetric stresses
Weifeng Qiu, Jiguang Shen, Ke Shi
This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear elasticity on general polyhedral meshes, based on a strong symmetric stress formulation. The k…