Shun Zhang

27 papers Journal 27
YearRankTypeTitle / Venue / Authors
2026 J jnl
Robust augmented mixed FEMs for stokes interface problems with discontinuous viscosity in multiple subdomains.
Comput. Math. Appl.
Yuxiang Liang, Shun Zhang
2025 J jnl
Least-squares versus partial least-squares finite element methods: Robust a priori and a posteriori error estimates of augmented mixed finite element methods.
Comput. Math. Appl.
Yuxiang Liang, Shun Zhang
2025 J jnl
Non-intrusive least-squares functional a posteriori error estimator: Linear and nonlinear problems with plain convergence.
Comput. Math. Appl.
Ziyan Li, Shun Zhang
2023 J jnl
Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations.
J. Sci. Comput.
Yuxiang Liang, Shun Zhang
2023 J jnl
Least-Squares versus Partial Least-Squares Finite Element Methods: Robust A Priori and A Posteriori Error Estimates of Augmented Mixed Finite Element Methods.
CoRR
Yuxiang Liang, Shun Zhang
2022 J jnl
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs.
Comput. Math. Appl.
Shun Zhang
2022 J jnl
Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations.
CoRR
Yuxiang Liang, Shun Zhang
2021 J jnl
Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements.
J. Comput. Appl. Math.
Zhiqiang Cai, Cuiyu He, Shun Zhang
2020 J jnl
Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations.
J. Sci. Comput.
Qinjie Liu, Shun Zhang
2020 J jnl
Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements.
CoRR
Cuiyu He, Zhiqiang Cai, Shun Zhang
2020 J jnl
Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions.
J. Sci. Comput.
Difeng Cai, Zhiqiang Cai, Shun Zhang
2020 J jnl
Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations.
J. Sci. Comput.
Shun Zhang
2020 J jnl
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems.
Numerische Mathematik
Difeng Cai, Zhiqiang Cai, Shun Zhang
2019 J jnl
Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations.
CoRR
Qinjie Liu, Shun Zhang
2017 J jnl
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates.
SIAM J. Numer. Anal.
Zhiqiang Cai, Cuiyu He, Shun Zhang
2017 J jnl
Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements.
Math. Comput.
Zhiqiang Cai, Cuiyu He, Shun Zhang
2016 J jnl
On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations.
J. Sci. Comput.
Jan S. Hesthaven, Shun Zhang
2015 J jnl
Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations.
SIAM J. Numer. Anal.
Zhiqiang Cai, Robert D. Falgout, Shun Zhang
2015 J jnl
Reduced Basis Multiscale Finite Element Methods for Elliptic Problems.
Multiscale Model. Simul.
Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
2014 J jnl
High-Order Multiscale Finite Element Method for Elliptic Problems.
Multiscale Model. Simul.
Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
2012 J jnl
Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation.
Math. Comput.
Zhiqiang Cai, Shun Zhang
2012 J jnl
Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements.
SIAM J. Numer. Anal.
Zhiqiang Cai, Shun Zhang
2011 J jnl
Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations.
SIAM J. Numer. Anal.
Zhiqiang Cai, Xiu Ye, Shun Zhang
2010 J jnl
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations.
SIAM J. Numer. Anal.
Zhiqiang Cai, Shun Zhang
2010 J jnl
Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations.
SIAM J. Numer. Anal.
Zhiqiang Cai, Chunbo Wang, Shun Zhang
2010 J jnl
Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements.
SIAM J. Numer. Anal.
Zhiqiang Cai, Shun Zhang
2009 J jnl
Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements.
SIAM J. Numer. Anal.
Zhiqiang Cai, Shun Zhang