Position Selected Papers

  • Solutions of the divergence operator on John domains.
    G. Acosta, R. G. Durán and M. A. Muschietti
    Advances in Mathematics, 26, 2, pp 373-401, 2006.
    [ download pdf file ]
  • An optimal Poincaré inequality in L1 for convex domains.
    G. Acosta and R. G. Durán
    Proc. AMS 132(1), 195-202, 2003.
    [ download postcript file ]
  • The maximum angle condition for mixed and non conforming elements: Application to the Stokes equations
    G. Acosta  and R. G. Durán
    SIAM J. Numer. Anal.  37, 18-36, 2000.
    [ download postcript file ]
List of Papers
  • Korn inequality and divergence operator: counterexamples and optimality of weighted estmates.
    G. Acosta, R. Durán, F. López García
    To Appear in Proc. of the AMS.
    [ download pdf file ]
  • The full strategy minority game.
    G. Acosta, I. Caridi, S. Guala, J. Marenco
    Physica A: Statistical Mechanics and its Applications,
    V.391,1-2, pp 217-230, (2012).
    [ download pdf file ]
  • Finite element approximations in a non-Lipschitz domain: Part II.
    G. Acosta, M.G. Armentano
    Math. Comp., 80, 1949-1978 (2011).
    [ download pdf file ]
  • Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra.
    G. Acosta, Th. Apel, R. G. Durán and A. Lombardi
    Math. Comp., 80, 141-163, (2011).
    [ download pdf file ]
  • Anisotropic error estimates for an interpolat defined via moments.
    G. Acosta, Th. Apel, R. G. Durán and A. Lombardi
    Computing, 82, 1-9, (2008) .
    [ download pdf file ]
  • Dynamics of a minority game with an additional layer of interaction.
    G. Acosta, S. Guala and J. Marenco
    Physica A, 387, Issues 2-3, 567-572 (2008) .
    [ download pdf file ]
  • Finite element approximations in a non-Lipschitz domain.
    G. Acosta, M. G. Armentano, R. G. Durán and A. Lombardi
    SIAM J. Numer. Anal.  45,  277-295,  2007.
    [ download pdf file ]
  • Condition numbers and scale free graphs.
    G. Acosta, M. Graña, J. Pinasco
    Eur. Phys. J. B 53 ,381-385 2006.
    [ download pdf file ]
  • Interpolation error estimates in $W^{1,p}$ for degenerate $Q_1$ isoparametric elements.
    G. Acosta, G. Monzon
    Numer. Math. , 104, pp 129-150, 2006.
    [ download pdf file ]
  • Weighted Poincaré and Korn inequalities for Hölder α domains.
    G. Acosta, R. G. Durán and A. L. Lombardi
    Math. Meth. Appl. Sci. (MMAS) 29 (4), 387-400, 2006.
    [ download poscript file ]
  • Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp.
    G. Acosta, M. G. Armentano, R. G. Durán and A. Lombardi
    Journal of Mathematical Analysis and Applications 310(2), 397-411, 2005.
    [ download pdf file ]
  • Emergence of cooperation in an evolutionary game with two-level decisions.
    G. Acosta, J. Marenco, S. Guala.
    Physica A, 343, pp. 669-676, 2004.
    [ download pdf file ]
  • An adaptive time step procedure for a parabolic problem with blow up
    G. Acosta,  R. G. Durán and J. D. Rossi
    Computing 68(4), 343-373, 2002. 
    [ download postcript file ]
  • Simultaneous vs. non simultaneous blow-up, of numerical aproximations of parabolic systems with nonlinear boundary conditions
    G. Acosta, J. F. Bonder, P. Grosiman, and J. D. Rossi
    Math. Mod. and Num. Anal. M2AN, 36, No.1, pp. 55-68, 2002.
    [ download pdf file ]
  • Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions.
    G. Acosta, J. F. Bonder, P. Grosiman, and J. D. Rossi
    Disc. and Cont. Dyn. Sist. Series-B, 2, Nr. 2, pp. 279-294, 2002.
    [ download pdf file ]
  • Lagrange and average interpolation over 3D anisotropic elements.
    G. Acosta
    Jour. Comp. and Applied Math. 135, pp. 91-109, 2001. 
    [ download pdf file ]
  • Error estimates for $Q_1$ isoparametric elements satisfying a weak angle condition
    G. Acosta and R. G. Durán
    SIAM J. Numer. Anal. 38, 1073-1088,  2000. 
    [ download postcript file ]
  • Stable manifold approximation for the heat equation with nonlinear boundary conditions.
    G. Acosta, J. Fernández Bonder, J. D. Rossi.
    J. Dynam. Differential Equations, 12 (2000), no. 3, 557--578.  
    [ download pdf file ]
  • The minimum value of the alpha-concentration of Procaccia of elements in fuchsian groups with zero-trace generators.
    G. Acosta  and M. Piaquadion
    Rev. de la UMA, 40, pp 1-13, 1997.
    [ Electronic Version Not Available ]
  • Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition
    G. Acosta  and J. Rossi
    Zeif. angen. Math. Phys, 48, pp. 711-724, 1997.
    [ download postcript file ]

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