1 citations · 1 across the 14 of their papers we have counts for
14 papers
A superconvergent hybridizable discontinuous Galerkin method for the convective Cahn--Hilliard equation
Gang Chen, Daozhi Han, Jiaxuan Liu +2
We propose a hybridizable discontinuous Galerkin (HDG) method combined with convex-concave splitting for the temporal discretization of the convective Cahn-Hilliard equation. The c…
Incremental SVD Compression for Nonlinear Oldroyd Equations with General Memory Kernels
Gang Chen, Yangwen Zhang, Dujin Zuo
We study mixed finite element/Crank--Nicolson discretizations of a nonlinear Oldroyd problem with general nonsingular and weakly singular memory kernels. Direct evaluation of the h…
Pressure-Robust -Conforming HDG Methods for the Steady Stokes Equations with an Application to Tangential Boundary Control
Gang Chen, Wenyi Liu, Yangwen Zhang
We develop a family of -conforming hybridizable discontinuous Galerkin methods for the steady Stokes equations based on BDM and RT velocity spaces with either disc…
Optimal error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods
Gang Chen, Chaoran Liu, Yangwen Zhang
This paper establishes optimal error estimates in the for the non-symmetric Nitsche method in an unfitted interface finite element setting. Extending our earlier work, we giv…
A new reduced order model of imcompressible Stokes equations
Yangwen Zhang
In this paper we propose a new reduced order model (ROM) to the imcompressible Stokes equations. Numerical experiments show that our ROM is accurate and efficient. Under some assum…
A new reduced order model of linear parabolic PDEs
Noel Walkington, Franziska Weber, Yangwen Zhang
How to build an accurate reduced order model (ROM) for multidimensional time dependent partial differential equations (PDEs) is quite open. In this paper, we propose a new ROM for…
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…
Inverse Boundary Value Problems for Wave Equations with Quadratic Nonlinearities
Gunther Uhlmann, Yang Zhang
We study inverse problems for the nonlinear wave equation in a Lorentzian manifold with boundary, where denotes the grad…
Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space
W. Gong, M. Mateos, J. Singler +1
We study Dirichlet boundary control of Stokes flows in 2D polygonal domains. We consider cost functionals with two different boundary control regularization terms: the norm a…
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…
A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs
Gang Chen, Liangya Pi, Yangwen Zhang
We devised a first order time stepping ensemble hybridizable discontinuous Galerkin (HDG) method for a group of parameterized convection diffusion PDEs with different initial condi…
Finite Element Methods for Maxwell's Equations
Peter Monk, Yangwen Zhang
We survey finite element methods for approximating the time harmonic Maxwell equations. We concentrate on comparing error estimates for problems with spatially varying coefficients…