Department of Mathematics
Syracuse University


Research:

I am a numerical analyst and I work on numerical solutions of partial differential equations. Currently, my research is foccused on Generalized Finite Element Methods and Meshless Methods.
Recent Publications
Approximation Properties of the Generalized Finite Element Method
(joint with C. Anitescu)
Submitted for publication, pdf
Effect of Numerical Integration on the Finite Element Approximation of Linear Functionals
(joint with I. Babuska, and Hengguang Li)
Submitted for publication, 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