Shun Zhang

Publication Activity (10 Years)

Years Active: 2009-2023
Publications (10 Years): 13

Top Topics

Error Estimates

Ambrosio Tortorelli

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

Multiscale Model. Simul.

Publications

Yuxiang Liang, Shun Zhang
Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations. J. Sci. Comput. 96 (1) (2023)
Yuxiang Liang, Shun Zhang
Least-Squares versus Partial Least-Squares Finite Element Methods: Robust A Priori and A Posteriori Error Estimates of Augmented Mixed Finite Element Methods. CoRR (2023)
Shun Zhang
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs. Comput. Math. Appl. 122 (2022)
Zhiqiang Cai, Cuiyu He, Shun Zhang
Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. J. Comput. Appl. Math. 398 (2021)
Difeng Cai, Zhiqiang Cai, Shun Zhang
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems. Numerische Mathematik 144 (1) (2020)
Cuiyu He, Zhiqiang Cai, Shun Zhang
Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements. CoRR (2020)
Qinjie Liu, Shun Zhang
Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations. J. Sci. Comput. 84 (2) (2020)
Difeng Cai, Zhiqiang Cai, Shun Zhang
Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions. J. Sci. Comput. 83 (1) (2020)
Shun Zhang
Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations. J. Sci. Comput. 84 (2) (2020)
Qinjie Liu, Shun Zhang
Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations. CoRR (2019)
Zhiqiang Cai, Cuiyu He, Shun Zhang
Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements. Math. Comput. 86 (304) (2017)
Zhiqiang Cai, Cuiyu He, Shun Zhang
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates. SIAM J. Numer. Anal. 55 (1) (2017)
Jan S. Hesthaven, Shun Zhang
On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations. J. Sci. Comput. 69 (1) (2016)
Zhiqiang Cai, Robert D. Falgout, Shun Zhang
Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 53 (1) (2015)
Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
Reduced Basis Multiscale Finite Element Methods for Elliptic Problems. Multiscale Model. Simul. 13 (1) (2015)
Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
High-Order Multiscale Finite Element Method for Elliptic Problems. Multiscale Model. Simul. 12 (2) (2014)
Zhiqiang Cai, Shun Zhang
Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements. SIAM J. Numer. Anal. 50 (1) (2012)
Zhiqiang Cai, Shun Zhang
Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation. Math. Comput. 81 (280) (2012)
Zhiqiang Cai, Xiu Ye, Shun Zhang
Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations. SIAM J. Numer. Anal. 49 (5) (2011)
Zhiqiang Cai, Chunbo Wang, Shun Zhang
Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations. SIAM J. Numer. Anal. 48 (1) (2010)
Zhiqiang Cai, Shun Zhang
Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements. SIAM J. Numer. Anal. 48 (1) (2010)
Zhiqiang Cai, Shun Zhang
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations. SIAM J. Numer. Anal. 48 (2) (2010)
Zhiqiang Cai, Shun Zhang
Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements. SIAM J. Numer. Anal. 47 (3) (2009)