## Recent Publications:

*Galerkin methods for parabolic problems*

with Mahboub Baccouch,

Scholarpedia, an online Encyclopedia, 2010.

*
Higher-order Immersed discontinuous Galerkin methods,*

with Tao Lin,

International Journal of information and systems sciences, 3, p 555-568, 2007

*
A pth-Degree Immersed Finite Elements for boundary value problems with discontinuous Coefficients * ,

with Tao Lin

Submitted to Applied Numerical Methods, (2007)

*DG Methods for Hyperbolic Problems.
Part II: A Posteriori Error Analysis.*

with M. Baccouch, submitted, Journal of Scientific Computing, 2007.

*DG Methods for Hyperbolic Problems.
Part I: Superconvergence Error Analysis.*

with M. Baccouch, to appear Journal of Scientific Computing, 2007.

*A DG method for high-order differential equations.*

with H. Temimi, to appear CMAME, 2007.

*A posteriori error estimation for the method of lumped masses applied to second-order hyperbolic Problems.*

CMAME, 2005.

*Superconvergence of the local discontinuous Galerkin method applied to diffusion problems.*

with D. Issaev.

Proceedings of the Third M.I.T. Conference on Computational Fluid and Solid Mechanics, 2005

*Superconvergence of discontinuous finite element solutoions of transient convection-diffusion problems*

with A. Klauser

Journal of Scientific Computing, 2005.

*Even-odd goal-oriented a posteriori error estimation
for elliptic problems*

with M. Salim

To appear in Applied Numerical Mathematics, 2005.

*Superconvergence of discontinuous finite element
solutions for nonlinear hyperbolic problems*

with T. C. Massey

to appear in CMAME (2005)

*Flexible Galerkin finite element methods *

with T. C. Massey

Proceedings of the Second M.I.T. Conference on Computational Fluid and Solid Mechanics, Volume 2, (2002)

*A posteriori discontinuous finite element error estimation for two-dimensional hyperbolic problems. *

with T. C. Massey

To appear, CMAME, (2002)

*A posteriori finite element error estimation for second-order hyperbolic problems. *

To appear in CMAME, (2002)

*An a posteriori error estimate for fourth-order boundary value problems. *

CMAME, (2002)

*An a posteriori error estimate for the discontinuous Galerkin method for hyperbolic problems. *

with L. Krivodonova, J.E. Flaherty and K. Devine

CMAME, (2002)

*Hierarchical finite element bases for triangular and tetrahedral elements *

with M. Aiffa and J.E. Flaherty

CMAME, (2000)

*Adaptive Finite Element Analysis of the Anisotropic Biphasic Theory of Tissue-Equivalent Mechanics *

with T.K. Ohsumi, J.E. Flaherty, V.H. Barocas, and M. Aiffa

J. Biomech. Engng., (2000)

*Modeling and the adaptive solution of CVD fiber-coating processes*

with Joseph Flaherty, John Hudson and Mark Shephard

Computer Methods in Applied Mechanics and Engineering, (1999)

*Computational methods for singularly perturbed systems*

with Mohamed Aiffa and Joseph Flaherty

in J. Cronin and R. E. O'Malley Jr. eds, Singular Perturbation Concepts of Differential Equations,

AMS, Providence (1999)

*Parallel finite element simulations of Czochralski melt flows*

with Joseph Flaherty, Kenneth Jansen and Mark Shephard

Proceedings of ICES Atlanta (1998)

*Modeling and adaptive numerical techniques for oxidation of ceramic composites*

with Mohamed Aiffa, Joseph Flaherty, John Hundson and Mark Shephard

Poceedings of ACerS, Cocoa Beach Florida (1997)

*A posteriori finite element error estimation for diffusive systems*

with Belkacem Belguendouz and Joseph Flaherty

SIAM Journal for Scientific Computing (1999)

*A posteriori error estimation for the finite element method-of-lines solution of parabolic problems*

with Ivo Babuska and Joseph Flaherty

Mathematical Modelling and Methods in Applied Science (1999)