Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements. - Zhiqiang Cai 001; Shun Zhang 001 (SIAM J. Numer. Anal., 2009)

Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations. - Zhiqiang Cai 001; Chunbo Wang; Shun Zhang 001 (SIAM J. Numer. Anal., 2010)

Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements. - Zhiqiang Cai 001; Shun Zhang 001 (SIAM J. Numer. Anal., 2010)

Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations. - Zhiqiang Cai 001; Shun Zhang 001 (SIAM J. Numer. Anal., 2010)

Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations. - Zhiqiang Cai 001; Xiu Ye; Shun Zhang 001 (SIAM J. Numer. Anal., 2011)

Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation. - Zhiqiang Cai 001; Shun Zhang 001 (Math. Comput., 2012)

Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements. - Zhiqiang Cai 001; Shun Zhang 001 (SIAM J. Numer. Anal., 2012)

High-Order Multiscale Finite Element Method for Elliptic Problems. - Jan S. Hesthaven; Shun Zhang 001; Xueyu Zhu (Multiscale Model. Simul., 2014)

Reduced Basis Multiscale Finite Element Methods for Elliptic Problems. - Jan S. Hesthaven; Shun Zhang 001; Xueyu Zhu (Multiscale Model. Simul., 2015)

Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations. - Zhiqiang Cai 001; Robert D. Falgout; Shun Zhang 001 (SIAM J. Numer. Anal., 2015)

On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations. - Jan S. Hesthaven; Shun Zhang 001 (J. Sci. Comput., 2016)

Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements. - Zhiqiang Cai 001; Cuiyu He; Shun Zhang 001 (Math. Comput., 2017)

Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates. - Zhiqiang Cai 001; Cuiyu He; Shun Zhang 001 (SIAM J. Numer. Anal., 2017)

Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements. - Cuiyu He; Zhiqiang Cai 001; Shun Zhang 001 (CoRR, 2020)

Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions. - Difeng Cai; Zhiqiang Cai 001; Shun Zhang 001 (J. Sci. Comput., 2020)

Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations. - Qinjie Liu; Shun Zhang 001 (J. Sci. Comput., 2020)

Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations. - Shun Zhang 001 (J. Sci. Comput., 2020)

Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems. - Difeng Cai; Zhiqiang Cai 001; Shun Zhang 001 (Numerische Mathematik, 2020)

Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. - Zhiqiang Cai 001; Cuiyu He; Shun Zhang 001 (J. Comput. Appl. Math., 2021)

Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs. - Shun Zhang 001 (Comput. Math. Appl., 2022)

Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations. - Yuxiang Liang; Shun Zhang 001 (J. Sci. Comput., 2023)

Non-intrusive least-squares functional a posteriori error estimator: Linear and nonlinear problems with plain convergence. - Ziyan Li; Shun Zhang 001 (Comput. Math. Appl., 2025)

Least-squares versus partial least-squares finite element methods: Robust a priori and a posteriori error estimates of augmented mixed finite element methods. - Yuxiang Liang; Shun Zhang 001 (Comput. Math. Appl., 2025)