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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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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…

math.NA2017★ 15 cited

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…

math.OC2017★ 2 cited

An Approximating Control Design for Optimal Mixing by Stokes Flows

Weiwei Hu

We consider an approximating control design for optimal mixing of a non-dissipative scalar field in unsteady Stokes flows. The objective of our approach is to achieve optimal m…

math.OC2017

Optimal Impulse Control of a Simple Reparable System in a Nonreflexive Banach Space

Weiwei Hu, Rongjie Lai, Houbao Xu +1

We discuss the problem of optimal impulse control representing the preventive maintenance of a simple reparable system. The system model is governed by coupled transport and integr…