1 citations · 2 across the 7 of their papers we have counts for
8 papers
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations
Gang Chen, Xiaoping Xie
This paper analyzes a class of globally divergence-free (and therefore pressure-robust) hybridizable discontinuous Galerkin (HDG) finite element methods for stationary Navier-Stoke…
Sharp estimates of HDG methods for Poisson equation II: 3D
Gang Chen, Peter Monk, Yangwen Zhang
In [SIAM J. Numer. Anal., 59 (2), 720-745], we proved quasi-optimal estimates (up to logarithmic factors) for the solution of Poisson's equation by a hybridizable discon…
Semi-discrete and fully discrete HDG methods for Burgers' equation
Zimo Zhu, Gang Chen, Xiaoping Xie
This paper proposes semi-discrete and fully discrete hybridizable discontinuous Galerkin (HDG) methods for the Burgers' equation in two and three dimensions. In the spatial discret…
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…
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 norm error estimates (up to logarithmic factors) for the solution of Poisson's problem by the standard Hybridizable Discontinuous Galerkin (HDG) m…
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…