


Selected Papers

A fractional Laplace equation: regularity of solutions and Finite Element approximations
G. Acosta, J. P. Borthagaray
SIAM J. Numer. Anal. (55) No. 2, pp. 472495 (2017)
[ download
pdf
file from arXiv ]
 Solutions
of the divergence operator on John domains.
G. Acosta, R. G. Durán and M. A. Muschietti
Advances in Mathematics, 26, 2, pp 373401, 2006.
[ download
pdf file ]
 An
optimal Poincaré inequality
in L^{1} for convex domains.
G. Acosta and R. G. Durán
Proc.
AMS 132(1), 195202, 2003.
[ download
pdf file from the journal ]
 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,
1836, 2000.
[ download
postcript file ]
Books

Divergence operator and related inequalities.
G. Acosta and R. G. Durán
ISBN 9781493969852, SpringerBriefs in Mathematics, Springer, 2017.
[ link to Springer
]
List of Papers

A domain decomposition scheme for couplings between local and nonlocal equations.
G. Acosta, F. Bersetche, J. Rossi
Comput. Methods Appl. Math., 23, 4, pp. 817830, 2023.
[ download
pdf
file from arXiv ]

Weighted fractional Sobolev spaces as interpolation spaces in bounded domains.
G. Acosta, I. Drelichman, R. Durán
Math. Nachr., 296, 9, pp. 43744385, 2023.
[ download
pdf
file from arXiv ]

Local and nonlocal energybased coupling models
G. Acosta, F. Bersetche, J. Rossi
SIAM J. Math. Anal. 54 ,6, pp. 62886322, 2022.
[ download
pdf
file from arXiv ]

Finite element approximations for fractional evolution problems.
G. Acosta, F. Bersetche J. P. Borthagaray
Fractional Calculus and Applied Analysis, Vol. 22, Issue 3, pp. 767794, 2019.
[ download
pdf
file from arXiv ]

Finite element approximations of the nonhomogeneous fractional Dirichlet problem.
G. Acosta, J. P. Borthagaray, N. Heuer
IMA J. of Numerical Analysis, Vol. 39, Issue 3, pp. 14711501, 2019.
[ download
pdf
file from arXiv ]

Regularity theory and high order numerical methods for the (1D)Fractional Laplacian
G. Acosta, J. P. Borthagaray, O. Bruno, M. Maas
Math. Comp. 87, (2018), 18211857.
[ download
pdf
file from arXiv ]

A shorth FE implementation for a 2d homogeneous Dirichlet problem
of a Fractional Laplacian
G. Acosta, F. M. Bersetche, J. P. Borthagaray
Comput. Math. Appl. (74) No.4, pp. 784816, (2017).
[ download
pdf
file from arXiv ]

The minimal angle condition for quadrilateral finite elements of arbitrary degree.
G. Acosta, G. Monzón
Journal of Comp. and App. Math. Volume 317, pp. 218234 (2017).
[ download
pdf
file from arXiv ]

Improved Poincaré inequalities and solutions
of the divergence in weighted norms.
G. Acosta, E. Cejas, R. Durán
Ann. Acad. Sci. Fenn. Math. Vol. 42, pp. 211226, (2017).
[ download
pdf
file ]

Korn's Inequalities for Generalized External Cusps.
G. Acosta, I. Ojea
Math. Meth. in the App. Sciences (2016), Vol 39, pp 49354950.
[ download
pdf
file ]

Eigenvalue Problems in a NonLipschitz domain.
G. Acosta, G. Armentano
IMA J Numer Anal (2014) 34 (1): 8395
[ download
pdf
file ]

The quasiperiodicty of the minority game revisited.
G. Acosta, I. Caridi, S. Guala, J. Marenco
Phisica A (2013) 392 (19): 44404465
[ download
pdf
file ]

Extension theorems for external cusps with minimal regularity.
G. Acosta, I. Ojea
Pacific J. of Math., 259, 1, pp 139, 2012.
[ download
pdf
file ]

Korn inequality and divergence operator: counterexamples and
optimality of weighted estmates.
G. Acosta, R. Durán, F. López García
Proc. of the AMS., 141, 217232, 2013.
[ download
pdf
file ]

The full strategy minority game.
G. Acosta, I. Caridi, S. Guala, J. Marenco
Physica A: Statistical Mechanics and its Applications,
V.391,12, pp 217230, (2012).
[ download
pdf
file ]

Finite element approximations in a
nonLipschitz domain: Part II.
G. Acosta, M.G. Armentano
Math. Comp., 80, 19491978 (2011).
[ download
pdf
file ]

Error estimates for RaviartThomas interpolation of any order on anisotropic tetrahedra.
G. Acosta, Th. Apel, R. G. Durán and A. Lombardi
Math. Comp., 80, 141163, (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, 19, (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 23, 567572 (2008) .
[ download
pdf
file ]
 Finite element approximations in a
nonLipschitz domain.
G. Acosta, M. G. Armentano, R. G. Durán and A. Lombardi
SIAM J. Numer. Anal. 45, 277295, 2007.
[ download
pdf
file ]
 Condition numbers and scale free graphs.
G. Acosta, M. Graña, J. Pinasco
Eur. Phys. J. B 53 ,381385 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 129150,
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), 387400, 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), 397411,
2005.
[ download
pdf
file ]
 Emergence of cooperation in an evolutionary
game with twolevel
decisions.
G. Acosta, J. Marenco, S. Guala.
Physica A, 343, pp. 669676, 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),
343373, 2002.
[ download
postcript
file ]
 Simultaneous
vs. non simultaneous blowup, 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. 5568, 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. SeriesB, 2, Nr. 2, pp. 279294, 2002.
[ download
pdf file ]
 Lagrange
and average interpolation over 3D anisotropic
elements.
G. Acosta
Jour. Comp. and Applied Math. 135, pp. 91109, 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, 10731088, 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, 557578.
[ download
pdf
file ]
 The minimum value of the
alphaconcentration of Procaccia of elements in fuchsian groups with
zerotrace generators.
G. Acosta and M. Piaquadion
Rev. de la UMA, 40, pp 113, 1997.
[ Electronic Version Not Available
]
 Blowup vs. global existence for
quasilinear
parabolic systems with a nonlinear boundary condition
G. Acosta and J. Rossi
Zeif. angen. Math. Phys, 48, pp. 711724, 1997.
[ download
postcript file ]





