4 citations · 5 across the 6 of their papers we have counts for
7 papers
Analysis and Elimination of Numerical Pressure Dependency in Coupled Stokes-Darcy Problem
Jiachuan Zhang
This paper analyses the classical mixed finite element method (FEM) and a pressure-robust variant with divergence-free reconstruction operators for the coupled Stokes-Darcy problem…
Pressure-robustness in Stokes-Darcy Optimal Control Problem with reconstruction operator
Jingshi Li, Jiachuan Zhang, Ran Zhang
This paper presents a pressure-robust discretizations, specifically within the context of optimal control problems for the Stokes-Darcy system. The study meticulously revisits the…
A Posteriori Error Estimation Improved by a Reconstruction Operator for the Stokes Optimal Control Problem
Jingshi Li, Jiachuan Zhang
This paper focuses on a posteriori error estimates for a pressure-robust finite element method, which incorporates a divergence-free reconstruction operator, within the context of…
A splitting algorithm for constrained optimization problems with parabolic equations
Haiming Song, Jiachuan Zhang, Yongle Hao
In this paper, an efficient parallel splitting method is proposed for the optimal control problem with parabolic equation constraints. The linear finite element is used to approxim…
Spectral patterns of elastic transmission eigenfunctions: boundary localisation, surface resonance and stress concentration
Yan Jiang, Hongyu Liu, Jiachuan Zhang +1
We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localisation, surface resonance, and stress…
A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using Auxiliary Subspace Techniques
Jiachuan Zhang, Ran Zhang, Xiaoshen Wang
Based on the auxiliary subspace techniques, a hierarchical basis a posteriori error estimator is proposed for the Stokes problem in two and three dimensions. For the error estimato…
Boundary localization of transmission eigenfunctions in spherically stratified media
Yan Jiang, Hongyu Liu, Jiachuan Zhang +1
Consider the transmission eigenvalue problem for and associated with , where is a ball in , . If and…