Paper submitted

  1. Cuiyu He, Xu Zhang
    Residual based a posteriori error estimation for immersed finite element methods.
    Journal of Scientific Computing, under revision, (2019).

Journal Publications

  1. Yuan Chen, Songming Hou, Xu Zhang
    An immersed finite element method for elliptic interface problems with multi-domain and triple junction points.
    Advances in Applied Mathematics and Mechanics, 11 (2019), no. 5, 1005-1021
  2. Tao Lin, Dongwoo Sheen, Xu Zhang
    A nonconforming immersed finite element method for elliptic interface problems.
    Journal of Scientific Computing, 79 (2019), no. 1, 442-463.
  3. Lin Mu, Xu Zhang
    An immersed weak Galerkin method for elliptic interface problems.
    Journal of Computational and Applied Mathematics, 362 (2019), 471-483.
  4. Ruchi Guo, Tao Lin, Xu Zhang
    Nonconforming immersed finite element spaces for elliptic interface problems.
    Computers & Mathematics with Applications 75 (2018), no. 6, 2002-2016
  5. Jinwei Bai, Yong Cao, Yuchuan Chu, Xu Zhang
    An improved immersed finite element particle-in-cell method for plasma simulation.
    Computers & Mathematics with Applications 75 (2018), no. 6, 1887-1899
  6. Ruishu Wang, Ran Zhang, Xu Zhang, Zhimin Zhang
    Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin methods.
    Numerical Methods for Partial Differential Equations 34 (2018), no. 1, 317-335.
  7. Waixiang Cao, Xu Zhang, Zhimin Zhang, Qingsong Zou
    Superconvergence of immersed finite volume methods for one-dimensional interface problems.
    Journal of Scientific Computing 73 (2017), no. 2-3, 543-565. [Correction]
  8. Waixiang Cao, Xu Zhang, Zhimin Zhang
    Superconvergence of immersed finite element methods for interface problems.
    Advances in Computational Mathematics 43 (2017), no. 4, 795--821.
  9. Yong Cao, Yuchuan Chu, Xiaoshi Zhang, Xu Zhang
    Immersed finite element methods for unbounded interface problems with periodic structures.
    Journal of Computational and Applied Mathematics 307 (2016), 72-81.
  10. Qing Yang, Xu Zhang
    Discontinuous Galerkin immersed finite element methods for parabolic interface problems.
    Journal of Computational and Applied Mathematics 299 (2016), 127-139.
  11. Tao Lin, Qing Yang, Xu Zhang
    Partially penalized immersed finite element methods for parabolic interface problems.
    Numerical Methods for Partial Differential Equations 31 (2015), no. 6, 1925-1947.
  12. Tao Lin, Qing Yang, Xu Zhang
    A priori error estimates for some discontinuous Galerkin immersed finite element methods.
    Journal of Scientific Computing 65 (2015), no. 3, 875-894.
  13. Tao Lin, Yanping Lin, Xu Zhang
    Partially penalized immersed finite element methods for elliptic interface problems.
    SIAM Journal on Numerical Analysis 53 (2015), no. 2, 1121-1144.
    (Highly cited paper in Mathematics in Web of Science)
  14. Wenqiang Feng, Xiaoming He, Yanping Lin, Xu Zhang
    Immersed finite element method for interface problems with algebraic multigrid solver.
    Communications in Computational Physics 15 (2014), no. 4, 1045-1067.
  15. Tao Lin, Dongwoo Sheen, Xu Zhang
    A locking-free immersed finite element method for planar elasticity interface problems.
    Journal of Computational Physics 247 (2013), 228-247.
  16. Tao Lin, Yanping Lin, Xu Zhang
    A method of lines based on immersed finite elements for parabolic moving interface problems.
    Advances in Applied Mathematics and Mechanics 5 (2013), no. 4, 548-568.
  17. Tao Lin, Yanping Lin, Xu Zhang
    Immersed finite element method of lines for moving interface problems with nonhomogeneous flux jump.
    Contemporary Mathematics 586 (2013), 257-265.
  18. Xiaoming He, Tao Lin, Yanping Lin, Xu Zhang
    Immersed finite element methods for parabolic equations with moving interface.
    Numerical Methods for Partial Differential Equations 29 (2013), no. 2, 619-646.
  19. Wenqiang Feng, Xiaoming He, Zhu Wang, Xu Zhang
    Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition.
    Applied Mathematics and Computation 219 (2012), no. 2, 453-463.
  20. Tao Lin, Xu Zhang
    Linear and bilinear immersed finite elements for planar elasticity interface problems.
    Journal of Computational and Applied Mathematics 236 (2012), no. 18, 4681-4699.
  21. Guozhu Yu, Xiaoping Xie, Xu Zhang
    Parameter extension for combined hybrid finite element methods and application to plate bending problems.
    Applied Mathematics and Computation 216 (2010), no. 11, 3265-3274.
  22. Xu Zhang, Guozhu Yu, Xiaoping Xie
    Fully discrete finite element approximation of a fluid-structure interaction problem.
    Journal of Sichuan University 47 (2010), no. 5, 941-947.

Conference Papers

  1. Derrick Jones, Xu Zhang
    A high order immersed finite element method for parabolic interface problems.
    submitted, (2018).
  2. Chartese Jones, Xu Zhang
    An efficient numerical method for one-dimensional hyperbolic interface problems.
    submitted, (2018).

Ph.D. Dissertation

  1. Nonconforming Immersed Finite Element Methods for Interface Problems
    Virginia Polytechnic Institute and State University, (2013).