Omar Lakkis Publications

Research articles and reports

Contact me by email if you do not have access to the journals or if you have problems downloading the papers.

  1. Gradient recovery in adaptive methods for parabolic equations
    O. Lakkis and T. Pryer
    (2009)  IMA J. Numer. Anal.  arxiv:0905.2764  submitted 
  2. A posteriori error control for discontinuous Galerkin methods for parabolic problems
    E. Georgoulis and O. Lakkis
    (2009)  SIAM J. Numer. Anal.  arXiv 0804.4262  to appear 
  3. A posteriori error estimates in the maximum norm for parabolic problems
    A. Demlow and O. Lakkis and C. Makridakis
    (2009)  SIAM J. Numer. Anal.  arXiv 0711-3928  to appear 
  4. Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem
    M. Katsoulakis and G. Kossioris and O. Lakkis
    (2007)  Interfaces and Free Boundaries  9  1  1--30
  5. A posteriori error control for parabolic problems via elliptic reconstruction and duality
    O. Lakkis and C. Makridakis
    (2007)    arxiv:0709.0916   
  6. Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
    O. Lakkis and C. Makridakis
    (2006)  Math. Comp.  75  256  1627--1658 (electronic)
  7. A posteriori error analysis for the mean curvature flow of graphs
    O. Lakkis and R. H. Nochetto
    (2005)  SIAM J. Numer. Anal.  42  5  1875--1898 (electronic)
  8. Finite Element Method for Epitaxial Growth with Attachment-Detachment Kinetics
    E. Bänsch and F. Hausser and O. Lakkis and B. Li and A. Voigt
    (2004)  Journ. Comp. Physics  194  2  409--434
  9. Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth
    O. Lakkis
    (1999)  Adv. Differential Equations  4  6  877--906
  10. A short proof of regularity for solutions to semilinear elliptic problems with exponential critical growth
    O. Lakkis
    (1998)  Rend. Istit. Mat. Univ. Trieste  30  1-2  181--183

Theses

  1. Error Control for the Mean Curvature Flow
    Ph.D. Dissertation in Applied Mathematics and Scientific Computing
    Department of Mathematics, University of Maryland, College Park; 24 May 2002.
    (Copy available on request.)
  2. Equazioni Semilineari con Crescita Critica Associate all'Operatore Poliarmonico
    Tesi di Laurea in Matematica
    Università degli Studi di Trieste, 8 May 1996.
    [PostScript] (warning to English-only speakers: in Italian and, North American friends: A4 format!!)