115 citations · 220 across the 19 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…
Robust A Posteriori Error Estimation for Finite Element Approximation to H(curl) Problem
Zhiqiang Cai, Shuhao Cao, Rob Falgout
In this paper, we introduce a novel a posteriori error estimator for the conforming finite element approximation to the H(curl) problem with inhomogeneous media and with the right-…
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…
A Recovery-Based A Posteriori Error Estimator for H(curl) Interface Problems
Zhiqiang Cai, Shuhao Cao
This paper introduces a new recovery-based a posteriori error estimator for the lowest order Nedelec finite element approximation to the H(curl) interface problem. The error estima…