This material is based upon work supported by the National Science Foundation through grants DMS-1238711/1115421, DMS-0902683, DMS-1417980. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

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Journal of Computational and Applied Mathematics, 263:351-369, 2014. - (28) Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method

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(with J. Guzman). Mathematics of Computation, 83(285):15-36, 2014 - (22) Convergence analysis of a fourth order perturbation of the radially symmetric Monge-Ampere equation

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(with J. Guzman). IMA Journal of Numerical Analysis, 32(4):1484-1508, 2012. - (14) A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem

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International Journal of Numerical Analysis, Series B, 2(4):338-354, 2011. - (7) Nonconforming finite element and discontinuous Galerkin methods for a bi-wave equation modeling d-wave superconductors

(with X. Feng). Mathematics of Computation 30:1303-1333, 2011. - (6) A nonconforming Morley finite element method for the Monge-Ampere equation

Numerische Mathematik, 115(3):371-394, 2010. - (5) Finite element methods for a bi-wave equation modeling d-wave superconductors

(with X. Feng). Journal of Computational Mathematics, 28(3):331-353, 2010. - (4) A modified characteristic finite element method for a fully nonlinear formulation of the semigeostrophic flow equations

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(with X. Feng). SIAM Journal on Numerical Analysis, 47(2):1226-1250, 2009. - (2) Vanishing moment method and moment solutions for second order fully nonlinear partial differential equations

(with X. Feng). Journal of Scientific Computing, 38(1):74-98, 2009. - (1) Error analysis of finite element approximations of the inverse mean curvature flow arising from general relativity

(with X. Feng and A. Prohl). Numerische Mathematik, 108(1):93-119, 2007.