Shun Zhang

Orcid: 0000-0001-6235-0362

Affiliations:
  • City University of Hong Kong, Department of Mathematics
  • Purdue University, West Lafayette, IN, US (former)


According to our database1, Shun Zhang authored at least 22 papers between 2009 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations.
J. Sci. Comput., July, 2023

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

2022
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs.
Comput. Math. Appl., 2022

2021
Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements.
J. Comput. Appl. Math., 2021

2020
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems.
Numerische Mathematik, 2020

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

Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations.
J. Sci. Comput., 2020

Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions.
J. Sci. Comput., 2020

Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements.
CoRR, 2020

2017
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates.
SIAM J. Numer. Anal., 2017

Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements.
Math. Comput., 2017

2016
On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations.
J. Sci. Comput., 2016

2015
Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations.
SIAM J. Numer. Anal., 2015

Reduced Basis Multiscale Finite Element Methods for Elliptic Problems.
Multiscale Model. Simul., 2015

2014
High-Order Multiscale Finite Element Method for Elliptic Problems.
Multiscale Model. Simul., 2014

2012
Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements.
SIAM J. Numer. Anal., 2012

Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation.
Math. Comput., 2012

2011
Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations.
SIAM J. Numer. Anal., 2011

2010
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations.
SIAM J. Numer. Anal., 2010

Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements.
SIAM J. Numer. Anal., 2010

Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations.
SIAM J. Numer. Anal., 2010

2009
Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements.
SIAM J. Numer. Anal., 2009


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