Paper Published/Accepted

  1. X. Ye, S. Zhang and Y. Zhu. Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs Results in Applied Mathematics. (Online), 2020
  2. S. Pollock and Y. Zhu. A matrix analysis approach to discrete comparison principles for nonmonotone PDE Numerical Algorithms. (Online), 2019
  3. S. Pollock and Y. Zhu. Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition. Numerische Mathematik. 139 (4), 845-865, 2018
  4. A. Gillette, M. Holst, and Y. Zhu. Finite Element Exterior Calculus For Evolution Problems. Journal of Computational Mathematics. 35 (2), 187–212, 2017
  5. T. V. Kolev, J. Xu, and Y. Zhu. Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients. Journal of Scientific Computing. 67 (1), 324-350, 2016
  6. M. Holst, S. Pollock, and Y. Zhu. Convergence of Goal-Oriented Adaptive Finite Element Methods for Semilinear Problems. Computing and Visualization in Science. 17(1), 2015
  7. L. Chen, M. Holst, J. Xu and Y. Zhu. Local Multilevel Preconditioners for Elliptic Equations with Jump Coefficients on Bisection Grids. Computing and Visualization in Science. 15:271-289, 2012
  8. M. Holst, R. Szypowski and Y. Zhu. Two-grid Methods for Semilinear Interface Problems. Numerical Methods for Partial Differential Equations. 29(5) 1729-1748, 2013
  9. M. Holst, R. Szypowski and Y. Zhu. Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation. Domain Decomposition Methods in Science and Engineering XX, pp 167-174, 2013.
  10. B. Ayuso de Dios, M. Holst, Y. Zhu and L. Zikatanov. Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients. Domain Decomposition Methods in Science and Engineering XX,, pp 183-190, 2013.
  11. B. Ayuso de Dios, M. Holst, Y. Zhu and L. Zikatanov. Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients. Mathematics Computation. 83, 1083-1120, 2014 (published online Oct. 2013).
  12. Y. Zhu. Analysis of a multigrid preconditioner for Crouzeix–Raviart discretization of elliptic partial differential equation with jump coefficients. Numerical Linear Algebra with Applications.  21(1) 24-38, 2014, Published online Sep. 26, 2012
  13. M. Holst, J. A. McCammon Z. Yu, Y.C. Zhou and Y. Zhu. Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation. Communications in Computational Physics. 11 (1), 179-214 (2012) Published Online: September 8, 2011
  14. J. Xu and Y. Zhu. Robust Preconditioner for H(curl) Interface Problems. Domain Decomposition Methods in Science and Engineering XIX. 78, 173-180 (2011)
  15. R. Tuminaro, J. Xu and Y. Zhu. Auxiliary Space Preconditioners for Mixed Finite Element Methods. Domain Decomposition Methods in Science and Engineering XVIII. 70, 99-109 (2009)
  16. J. Xu and Y. Zhu. Uniform Convergent Multigrid Methods for Elliptic Problems with Strongly Discontinuous Coefficients. Mathematical models and Methods in Applied Science.   18(1), 77-105 (2008)
  17. Y. Zhu. Domain Decomposition Preconditioners for Elliptic Equations with Jump Coefficients. Numerical Linear Algebra with Applications.   15, 271-289 (2008)
  18. P. Bochev, C. Siefert, R. Tuminaro, J. Xu and Y. Zhu, Compatible Gauge Approaches for H(div) Equations CSRI Summer Proceedings.  3-13 (2007)
  19. Y. Zhu, Robust preconditioners for H(grad), H(curl) and H(div) systems with strongly discontinuous coefficients Ph. D. Thesis. (2008)