6 papers
Sharp and unified error estimates for the nonsymmetric Nitsche method on convex polytopes
Gang Chen, Chaoran Liu, Yangwen Zhang
Nitsche's method weakly imposes Dirichlet boundary conditions, but its nonsymmetric variant has long shown a gap between theory and computation: the classical ~analysis under…
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…
Superclosenes error estimates for the div least-squares finite element method on elliptic problems
Gang Chen, Fanyi Yang, Zheyuan Zhang
In this paper we provide some error estimates for the div least-squares finite element method on elliptic problems. The main contribution is presenting a complete error analysis, w…