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20172023
most citedAn HDG Method for Distributed Control of Convection Diffusion PDEs

37 citations · 105 across the 15 of their papers we have counts for

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7 papers · 1 filter

math.NA2023

Iterative projection method for unsteady Navier-Stokes equations with high Reynolds numbers

Xiaoming Zheng, Kun Zhao, Jiahong Wu +2

A new iterative projection method is proposed to solve the unsteady Navier-Stokes equations with high Reynolds numbers. The convectional projection method attempts to project the i…

math.NA2018★ 7 cited

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…

math.NA2018★ 1 cited

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…

math.NA2018★ 34 cited

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…

math.NA2017★ 37 cited

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.…

math.NA2017★ 3 cited

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…