Dr. ZHANG Shun (章順)

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Research Output

  1. 2023
  2. Published

    Error analysis of Petrov-Galerkin immersed finite element methods

    He, C., Zhang, S. & Zhang, X., 1 Feb 2023, In: Computer Methods in Applied Mechanics and Engineering. 404, 115744.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Check@CityULib
  3. Published

    A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs

    Zhang, S., 15 Jan 2023, In: Computers and Mathematics with Applications. 130, p. 98-104

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 1
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  4. 2022
  5. Published

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

    Zhang, S., 15 Sep 2022, In: Computers and Mathematics with Applications. 122, p. 35-47

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 1
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  6. 2021
  7. Published

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

    Cai, Z., He, C. & Zhang, S., 15 Dec 2021, In: Journal of Computational and Applied Mathematics. 398, 113673.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 2
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  8. Published

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

    Cai, Z., He, C. & Zhang, S., Jan 2021, In: Applied Numerical Mathematics. 159, p. 174-189

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 4
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  9. 2020
  10. Published

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

    Liu, Q. & Zhang, S., Aug 2020, In: Journal of Scientific Computing. 84, 2, 26.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 7
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  11. Published

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

    Zhang, S., Aug 2020, In: Journal of Scientific Computing. 84, 2, 40.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 3
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  12. Published

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

    Liu, Q. & Zhang, S., 1 Jul 2020, In: Computer Methods in Applied Mechanics and Engineering. 366, 113041.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 10
    Check@CityULib
  13. Published

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

    Cai, D., Cai, Z. & Zhang, S., Apr 2020, In: Journal of Scientific Computing. 83, 1, 22 p., 22.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 5
    Check@CityULib
  14. Published

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

    Cai, D., Cai, Z. & Zhang, S., Jan 2020, In: Numerische Mathematik. 144, 1, p. 1-21

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 5
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  15. Published

    ADAPTIVE FIRST-ORDER SYSTEM LEAST-SQUARES FINITE ELEMENT METHODS FOR SECOND-ORDER ELLIPTIC EQUATIONS IN NONDIVERGENCE FORM

    QIU, W. & ZHANG, S., 2020, In: SIAM Journal on Numerical Analysis. 58, 6, p. 3286-3308

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 4
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  16. Published

    PRIMAL-DUAL REDUCED BASIS METHODS FOR CONVEX MINIMIZATION VARIATIONAL PROBLEMS: ROBUST TRUE SOLUTION A POSTERIORI ERROR CERTIFICATION AND ADAPTIVE GREEDY ALGORITHMS

    ZHANG, S., 2020, In: SIAM Journal on Scientific Computing. 42, 6, p. A3638-A3676

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 1
    Check@CityULib
  17. 2017
  18. Published

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

    CAI, Z., HE, C. & ZHANG, S., Mar 2017, In: Mathematics of Computation. 86, 304, p. 617-636

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 11
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  19. Published

    Improved ZZ a posteriori error estimators for diffusion problems: Conforming linear elements

    Cai, Z., He, C. & Zhang, S., 1 Jan 2017, In: Computer Methods in Applied Mechanics and Engineering. 313, p. 433-449

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 10
    Check@CityULib
  20. Published

    Discontinuous finite element methods for interface problems: Robust a priori and a posteriori error estimates

    Cai, Z., He, C. & Zhang, S., 2017, In: SIAM Journal on Numerical Analysis. 55, 1, p. 400-418

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 34
    Check@CityULib
  21. 2016
  22. Published

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

    Hesthaven, J. S. & Zhang, S., Oct 2016, In: Journal of Scientific Computing. 69, 1, p. 292-313

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 9
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  23. 2015
  24. Published

    DIV first-order system LL∗ (FOSLL∗) for second-order elliptic partial differential equations

    Cai, Z., Falgout, R. & Zhang, S., 2015, In: SIAM Journal on Numerical Analysis. 53, 1, p. 405-420

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 9
    Check@CityULib
  25. Published

    Reduced basis multiscale finite element methods for elliptic problems

    HESTHAVEN, J. S., ZHANG, S. & ZHU, X., 2015, In: Multiscale Modeling and Simulation. 13, 1, p. 316-337

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 11
    Check@CityULib
  26. 2014
  27. Published

    Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

    Hesthaven, J., Stamm, B. & ZHANG, S., 2014, In: Mathematical Modelling and Numerical Analysis. 48, 1, p. 259 - 283

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 85
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  28. Published

    High-order multiscale finite element method for elliptic problems

    Hesthaven, J. S., Zhang, S. & Zhu, X., 2014, In: Multiscale Modeling and Simulation. 12, 2, p. 650-666

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 14
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