Recent Publications

  • Strongly stable generalized finite element method (SSGFEM) for non-smooth interface problem II: a simplified algorithm (joint with Q. Zhang and I. Babuska). Comput. Methods Appl. Mech. Engrg. 2020, 363
  • Strongly stable generalized finite element method (SSGFEM) for non-smooth interface problems (joint with Q. Zhang and I. Babuska). Comput. Methods Appl. Mech. Engrg. 2019, 344, 538-568.
  • Strongly stable generalized finite element method: Application to interface problems (joint with I. Babuska and K. Kergrene). Comput. Methods Appl. Mech. Engrg. 2017, 327, 58-92.
  • Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities (joint with Q. Zhang and I. Babuska). Comput. Methods Appl. Mech. Engrg. 2016, 311, 476-502
  • Stable Generalized Finite Element Method and associated iterative schemes; application to interface problems (joint with K. Kergrene and I. Babuska). Comput. Methods Appl. Mech. Engrg. 2016, 305, 1-36
  • Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics (joint with V. Gupta, I. Babuska, and C. A. Duarte)
    Comput. Methods Appl. Mech. Engrg. 2015, 289, 355-386-39, DOI 10.1016/j.cma.2015.01.014
  • Higher order stable generalized finite element method (joint with Q. Zhang and I. Babuska)
    Numer. Math. 2014, 128, 1-29, DOI 10.1007/s00211-014-0609-1
  • A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics (joint with V. Gupta, I. Babuska, and C. A. Duarte)
    Comput. Methods Appl. Mech. Engrg. 2013, 266, 23-39, DOI 10.1016/j.cma.2013.07.010
  • Stable Generalized Finite Element Method (joint with I. Babuska)
    Comput. Methods Appl. Mech. Engrg. 2012, 201-204, 91-111, DOI 10.1016/j.cma.2011.09.012
  • Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients (joint with Q. Zhang)
    Adv. Comput. Math., 2012, 37, 453-492, DOI 10.1007/s10444-011-9216-1 pdf
  • Approximation Properties of the Generalized Finite Element Method (joint with C. Anitescu)
    Adv. Comput. Math., 2011, 34, 369-390, DOI 10.1007/s10444-010-9159-y pdf
  • Effect of Numerical Integration on the Finite Element Approximation of Linear Functionals (joint with I. Babuska, and Hengguang Li)
    Numer. Math. 2011, 117, 65-88 DOI 10.1007/s00211-010-0335-2  pdf
  • Effect of Numerical Integration on Meshless Methods (joint with I. Babuska, J. E. Osborn, and Qinghui Zhang)
    Comput. Methods Appl. Mech. Engrg, 198 (2009) 2886-2897, pdf
  • Quadrature for Meshless Methods (joint with I. Babuska, J. E. Osborn, and Q> Li)
    Int. J. Numer. Meth. Engng., 2008, 76: 1434–1470, pdf
  • Superconvergence in Generalized Finite Element Method (joint with I. Babuska and J. E. Osborn)
    Numer. Math, 2007, 107: 353–395, pdf
  • Generalized Finite Element Method: Main Ideas, Results, and Perspective (joint with I. Babuska and J. E. Osborn)
    International Journal of Computational Methods, Vol.1, No. 1, 2004, 67–103, pdf
  • On the Approximability and the Selection of Particle Shape Functions (joint with I. Babuska and J. E. Osborn)
    Numer. Math., 2004, 96: 601–640, pdf
  • Survey of Meshless and Generalized Finite Element Methods: A Unified Approach (joint with I. Babuska and J. E. Osborn)
    Acta Numerica, 2003, 1–125, pdf
  • On Principles for the Selection of Shape Functions for the Generalized Finite Element Method (joint with I. Babuska and J. E. Osborn)
    Comput. Methods Appl. Mech. Engrg, 2002, 191, 5595–5629, pdf