Refereed Journal Articles

  1. Z. Wang
    Nonlinear Model Reduction Based on the Finite Element Method With Interpolated Coefficients: Semilinear Parabolic Equations.
    Submitted, 2013.

  2. T. Iliescu and Z. Wang
    Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition?
    Preprint, 2013.

  3. Z. Wang, J. Borggaard and T. Iliescu
    Reduced-Order Modeling of Airflow in Energy-Efficient Buildings.
    In preparation, 2012.

  4. T. Iliescu and Z. Wang
    Variational Multiscale Proper Orthogonal Decomposition: Navier-Stokes Equations.
    Numer. Meth. Partial. Diff. Eqs., in revision, 2012.

  5. Z. Wang, I. Akhtar, J. Borggaard and T. Iliescu
    Proper Orthogonal Decomposition Closure Models for Turbulent Flows: A Numerical Comparison.
    Comput. Meth. Appl. Mech. Eng., vol. 237-240, 2012, pp. 10-26.

  6. T. Iliescu and Z. Wang
    Variational Multiscale Proper Orthogonal Decomposition: Convection-Dominated Convection-Diffusion Equations.
    Math. Comp., in press, 2011.

  7. I. Akhtar, Z. Wang, J. Borggaard and T. Iliescu
    A New Closure Strategy for Proper Orthogonal Decomposition Reduced-Order Models.
    J. Comp. Nonlinear Dynamics, vol. 7 (3), 034503, 2012.

  8. Z. Wang, I. Akhtar, J. Borggaard and T. Iliescu
    Two-Level Discretizations of Nonlinear Closure Models for Proper Orthogonal Decomposition.
    J. Comput. Phys., vol. 230 (1), 2011, pp. 126-146.

  9. J. Borggaard, T. Iliescu and Z. Wang
    Artificial Viscosity Proper Orthogonal Decomposition.
    Math. Comput. Model., vol. 53 (1-2), 2011, pp. 269-279.

  10. O. Roderick, Z. Wang and M. Anitescu
    Dimensionality Reduction for Uncertainty Quantification of Nuclear Engineering Models.
    Trans. Am. Nucl. Soc., vol. 104, 2011.

  11. O. San, A. E. Staples, Z. Wang and T. Iliescu
    Approximate Deconvolution Large Eddy Simulation of a Barotropic Ocean Circulation Model.
    Ocean Modelling, vol. 40, 2011, pp. 120-132.

  12. Z. Wang and T. Iliescu
    A Mixed Finite Element Method for the Time-Dependent Quasi-Geostrophic Equations of the Ocean.
    In preparation, 2012.

  13. E. Foster, T. Iliescu, and Z. Wang
    A Finite Element Discretization of the Streamfunction Formulation of the Stationary Quasi-Geostrophic Equations of the Ocean.
    Comput. Meth. Appl. Mech. Eng., in revision, 2012.

  14. W. Feng, X. He, Z. Wang and X. Zhang
    Non-Iterative Domain Decomposition Methods for a Non-Stationary Stokes-Darcy Model with Beavers-Joseph Interface Condition.
    Appl. Math. Comput., vol. 219 (2), 2012, pp. 453-463.

  15. B. Hu and Z. Wang
    Combined Hybrid Method Applied in the Reissner-Mindlin Plate Model.
    Finite Elem. Anal. Des., vol. 46 (5), 2010, pp. 428-437.

  16. Z. Wang and B. Hu
    Research of Combined Hybrid Method Applied in the Reissner-Mindlin Plate Model.
    Appl. Math. Comput., vol. 182 (1), 2006, pp. 49-66.

  17. J. Huang, Z. Wang and R. Zhu
    Asymptotic Error Expansions for Hypersingular Integrals.
    Adv. Comput. Math., vol. 38 (2), 2013, pp. 257-279.

  18. P. Cheng, J. Huang and Z. Wang
    Nystrom Methods and Extrapolation for Solving Steklov Eigensolutions and its Application in Elasticity.
    Numer. Meth. Partial. Diff. Eqs., vol. 28 (6), 2012, pp. 2021-2040.

  19. P. Cheng, X. Luo, Z. Wang and J. Huang
    Mechanical Quadrature Methods and Extrapolation Algorithms for Boundary Integral Equations with Linear Boundary Conditions in Elasticity.
    J. Elasticity, vol. 108 (2), 2012, pp. 193-207.

  20. P. Cheng, J. Huang and Z. Wang
    Mechanical Quadrature Methods and Extrapolation for Solving Nonlinear Boundary Helmholtz Integral Equations.
    Appl. Math. Mech. (Eng. Ed.), vol. 32 (12), 2011, pp. 1505-1514.

  21. J. Huang and Z. Wang
    Extrapolation Algorithms for Solving Mixed Boundary Integral Equations of the Helmholtz Equation by Mechanical Quadrature Methods.
    SIAM J. Sci. Comput., vol. 31 (6), 2009, pp. 4115-4129.

    22. Several papers in Chinese

  22. J. Liu, B. Hu, Y. Xu and Z. Wang
    A semi-discrete mixed finite element method for the Sobolev equation.
    Sichuan Daxue Xuebao, vol. 46 (2), 2009, pp. 297-301.

  23. B. Hu, Z. Wang and Y. Xu
    Improvement of the Selective Reduced Integration Element S1 for the Reissner-Mindlin Plate.
    Sichuan Daxue Xuebo, vol. 43 (1), 2006, pp. 47-51.

  24. Y. Zhang, B. Hu and Z. Wang
    Combined Hybrid Finite Element Methods for the Poisson Equation.
    Sichuan Daxue Xuebao, vol. 42 (3), 2005, pp. 467-470.

  25. Y. Wu, J. Zhou, Z. Wang and Y. Zeng
    Parameter Estimation of Weibull Distribution Using the EM Algorithm Based on Randomly Censored Date.
    Sichuan Daxue Xuebao, vol. 42 (5), 2005, pp. 910-913.

  Refereed Proceedings

  1. I. Akhtar, Z. Wang, J. Borggaard and T. Iliescu
    A Novel Strategy for Nonlinear Closure in Proper Orthogonal Decomposition Reduced-Order Models.
    ASME ECTC October 1-2, 2010.

  2. I. Akhtar, Z. Wang, J. Borggaard and T. Iliescu
    Large Eddy Simulation Ideas for Nonlinear Closure in Model Reduction of Fluid Flows.
    AIAA 2010-5089.

  3. I. Akhtar, J. Borggaard, T. Iliescu and Z. Wang
    Closure for Improved Reduced-order Models using High Performance Computing.
    AIAA 2010-1276.

  4. J. Borggaard, A. Duggleby, A. Hay, T. Iliescu and Z. Wang
    Reduced-order Modeling of Turbulent Flows.
    In Proceedings of MTNS, 2008.

Others

  1. Z. Wang
    Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations.
    PhD thesis, Virginia Tech, 2012.