papers


		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. 472-495 (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 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 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, 18-36, 2000. [ download postcript file ] Books Divergence operator and related inequalities. G. Acosta and R. G. Durán ISBN 978-1-4939-6985-2, 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. 817-830, 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. 4374-4385, 2023. [ download pdf file from arXiv ] Local and nonlocal energy-based coupling models G. Acosta, F. Bersetche, J. Rossi SIAM J. Math. Anal. 54 ,6, pp. 6288-6322, 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. 767-794, 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. 1471-1501, 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), 1821-1857. [ 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. 784-816, (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. 218-234 (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. 211-226, (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 4935-4950. [ download pdf file ] Eigenvalue Problems in a Non-Lipschitz domain. G. Acosta, G. Armentano IMA J Numer Anal (2014) 34 (1): 83-95 [ download pdf file ] The quasi-periodicty of the minority game revisited. G. Acosta, I. Caridi, S. Guala, J. Marenco Phisica A (2013) 392 (19): 4440-4465 [ download pdf file ] Extension theorems for external cusps with minimal regularity. G. Acosta, I. Ojea Pacific J. of Math., 259, 1, pp 1-39, 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, 217-232, 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.391,1-2, 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 ]