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)