Gang Chen

activity

20172023

most citedAn HDG Method for Distributed Control of Convection Diffusion PDEs

37 citations · 81 across the 22 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NA2020

Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods

Gang Chen, Bernardo Cockburn, John R Singler +1

In J. Sci. Comput., 81: 2188-2212, 2019, we considered a superconvergent hybridizable discontinuous Galerkin (HDG) method, defined on simplicial meshes, for scalar reaction diffusi…

math.NA2020

$L^{\infty}$ norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem

Gang Chen, Peter Monk, Yangwen Zhang

We prove quasi-optimal $L^{\infty}$ norm error estimates (up to logarithmic factors) for the solution of Poisson's problem by the standard Hybridizable Discontinuous Galerkin (HDG) m…

math.NA2020★ 1 cited

HDG and CG methods for the Indefinite Time-Harmonic Maxwell's Equations under minimal regularity

Gang Chen, Peter Monk, Yangwen Zhang

We propose to use a hybridizable discontinuous Galerkin (HDG) method combined with the continuous Galerkin (CG) method to approximate Maxwell's equations. We make two contributions…

Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods

L∞ norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem

HDG and CG methods for the Indefinite Time-Harmonic Maxwell's Equations under minimal regularity

$L^{\infty}$ norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem