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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 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…