Shun Zhang

发表

EFFICIENT GREEDY ALGORITHMS FOR HIGH-DIMENSIONAL PARAMETER SPACES WITH APPLICATIONS TO EMPIRICAL INTERPOLATION AND REDUCED BASIS METHODS ∗

Benjamin Stamm, Jan S. Hesthaven, Shun Zhang, 2014 .

Finite Element Methods for Interface Problems: Robust and Local Optimal A Priori Error Estimates

Z. Cai, Shun Zhang, 2015, 1509.08166.

Improved ZZ a posteriori error estimators for diffusion problems: Discontinuous elements

Z. Cai, Shun Zhang, Cuiyu He, 2020 .

N A ] 3 M ar 2 01 6 FINITE ELEMENT METHODS FOR INTERFACE PROBLEMS : ROBUST RESIDUAL A POSTERIORI ERROR ESTIMATES FOR DISCONTINUOUS APPROXIMATIONS

Z. Cai, Shun Zhang, 2016 .

Finite Element Methods for Interface Problems: Robust Residual-Based A Posteriori Error Estimates

Z. Cai, Shun Zhang, Cuiyu He, 2015, 1510.06481.

Error analysis of Petrov-Galerkin immersed finite element methods

Xu Zhang, Shun Zhang, Cuiyu He, 2023, Computer Methods in Applied Mechanics and Engineering.

On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations

J. Hesthaven, Shun Zhang, 2016, Journal of Scientific Computing.

Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs

Shun Zhang, 2019, Comput. Math. Appl..

Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

Shun Zhang, Robert D. Falgout, Zhiqiang Cai, 2014, SIAM J. Numer. Anal..

Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements

Shun Zhang, Zhiqiang Cai, Z. Cai, 2010, SIAM J. Numer. Anal..

Adaptive least-squares finite element methods for linear transport equations based on an H(div) flux reformulation

Shun Zhang, Qunjie Liu, Qun Liu, 2018, Computer Methods in Applied Mechanics and Engineering.

Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation

Shun Zhang, Zhiqiang Cai, Z. Cai, 2012, Math. Comput..

Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations

Shun Zhang, Zhiqiang Cai, Chunbo Wang, 2010, SIAM J. Numer. Anal..

A Note on Discontinuous Galerkin Methods

Z. Cai, Shun Zhang, 2010 .

Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements

Shun Zhang, Cuiyu He, Zhiqiang Cai, 2021, J. Comput. Appl. Math..

Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

Shun Zhang, Zhiqiang Cai, Xiu Ye, 2011, SIAM J. Numer. Anal..

Reduced Basis Multiscale Finite Element Methods for Elliptic Problems

Shun Zhang, Jan S. Hesthaven, Xueyu Zhu, 2015, Multiscale Model. Simul..

Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements

Shun Zhang, Zhiqiang Cai, Z. Cai, 2009, SIAM J. Numer. Anal..

Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems

Zhiqiang Cai, Shun Zhang, Difeng Cai, 2019, Numerische Mathematik.

Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements

Zhiqiang Cai, Shun Zhang, Cuiyu He, 2015, Math. Comput..

Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations

Shun Zhang, Zhiqiang Cai, Z. Cai, 2010, SIAM J. Numer. Anal..

On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations

Shun Zhang, Jan S. Hesthaven, J. Hesthaven, 2016, J. Sci. Comput..

Adaptive First-Order System Least-Squares Finite Element Methods for Second Order Elliptic Equations in Non-Divergence Form

Weifeng Qiu, Shun Zhang, W. Qiu, 2019, SIAM J. Numer. Anal..

Fast and Global Minimization Convex Multiphase Active Contours

Lifen Zhou, Shunji Zhang, Shun Zhang, 2016 .

Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations

Shun Zhang, Yuxiang Liang, 2022, Journal of Scientific Computing.

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

Jan S. Hesthaven, Shun Zhang, J. Hesthaven, 2011 .

On Approximating Discontinuous Solutions of PDEs by Adaptive Finite Elements pdf

Shun Zhang, Shun Zhang, 2019, ArXiv.

Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates

Shun Zhang, Zhiqiang Cai, Cuiyu He, 2017, SIAM J. Numer. Anal..

Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations

Shun Zhang, Shun Zhang, 2019, Journal of Scientific Computing.

Several Proofs of Coerciveness of First-Order System Least-Squares Methods for General Second-Order Elliptic PDEs

Shun Zhang, 2022, 2201.08026.

Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions

Zhiqiang Cai, Shun Zhang, Difeng Cai, 2020, Journal of Scientific Computing.

Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems

Z. Cai, Shun Zhang, Difeng Cai, 2019, Numerische Mathematik.

LEAST-SQUARES METHODS WITH NONCONFORMING FINITE ELEMENTS FOR GENERAL SECOND-ORDER EQUATIONS

Shun Zhang, 2022 .

LEAST-SQUARES METHODS WITH NONCONFORMING FINITE ELEMENTS FOR GENERAL SECOND-ORDER EQUATIONS

Shun Zhang, 2022 .

Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations

Shun Zhang, Qunjie Liu, Shun Zhang, 2019, Journal of Scientific Computing.

Primal-Dual Reduced Basis Methods for Convex Minimization Variational Problems: Robust True Solution a Posteriori Error Certification and Adaptive Greedy Algorithms

Shun Zhang, Shun Zhang, 2018, SIAM J. Sci. Comput..

High-Order Multiscale Finite Element Method for Elliptic Problems

Shun Zhang, Jan S. Hesthaven, Xueyu Zhu, 2014, Multiscale Model. Simul..

EFFICIENT GREEDY ALGORITHMS FOR HIGH-DIMENSIONAL PARAMETER SPACES WITH APPLICATIONS TO EMPIRICAL INTERPOLATION AND REDUCED BASIS METHODS ∗

J. Hesthaven, B. Stamm, Shun Zhang, 2014 .