16 citations · 33 across the 16 of their papers we have counts for
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Finite Element Methods for Interface Problems: Robust and Local Optimal A Priori Error Estimates
Zhiqiang Cai, Shun Zhang
For elliptic interface problems in two- and three-dimensions, this paper establishes a priori error estimates for Crouzeix-Raviart nonconforming, Raviart-Thomas mixed, and disconti…
Finite Element Methods for Interface Problems: Robust Residual-Based A Posteriori Error Estimates
Zhiqiang Cai, Cuiyu He, Shun Zhang
For elliptic interface problems, this paper studies residual-based a posteriori error estimations for various finite element approximations. For the conforming and the Raviart-Thom…
An Efficient Implementation of Brezzi-Douglas-Marini (BDM) Mixed Finite Element Method in MATLAB
Shun Zhang
In this paper, a MATLAB package bdm_mfem for a linear Brezzi-Douglas- Marini (BDM) mixed finite element method is provided for the numerical solution of elliptic diffusion problems…
Improved ZZ A Posteriori Error Estimators for Diffusion Problems: Conforming Linear Elements
Zhiqiang Cai, Cuiyu He, Shun Zhang
In \cite{CaZh:09}, we introduced and analyzed an improved Zienkiewicz-Zhu (ZZ) estimator for the conforming linear finite element approximation to elliptic interface problems. The…