1 citations · 1 across the 7 of their papers we have counts for
10 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 fast reduced order method for linear parabolic inverse source problems
Yuxuan Huang, Yangwen Zhang
In this paper, we propose a novel, computationally efficient reduced order method to solve linear parabolic inverse source problems. Our approach provides accurate numerical soluti…
An Improved Incremental Singular Value Decomposition and New Error Bounds
Yangwen Zhang
The incremental singular value decomposition (SVD) updates a truncated SVD as new columns arrive, replacing a single large SVD with a sequence of small ones. In floating-point arit…
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…
An efficient and memory free algorithm for subdiffusion equation using incremental singular value decomposition
Jichun Li, Yangpeng Zhang, Yangwen Zhang
In this paper, we address the well-known challenge in the numerical solution of time-fractional partial differential equations (TFPDEs), namely, that the dependence on all previous…