1,727,812 research outputs found

    Beyond the “Dangers of Geertzism.” Giovanni Levi in Conversation with Giovanni Zampieri

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    In this interview with Giovanni Zampieri, historian Giovanni Levi reflects on his intellectual career, focusing particularly on the relationship between history, sociology, and interpretive anthropology as practiced by Clifford Geertz. In the interview, Levi elaborates on debates at the intersection of these disciplines concerning comparison and generalization and the relationship between knowledge and language. These themes open new avenues for reflection at the porous borders of history and the social sciences, in continuity with the insights offered by the other contributors to “The Interpretation of Cultures at Fifty”

    Propagation of CR extendibility along complex tangent directions

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    We discuss the propagation along CR curves of extendibility of CR functions in the framework of the theory of partial lifts of CR curves and of analytic discs introduced by the authors in (Baracco, L. and Zampieri, G., 2001, Analytic discs and extension of CR functions. Compositio Mathematica, 127, 289–295) and (Baracco, L. and Zampieri, G., 2002, Tangent discs and extension of CR functions to wedges of Cn. J. Geom. Analysis, 12(1), 1–7)

    Boundary regularity for di-bar on q-Pseudoconvex wedges of C^N

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    For a wedge Ω of CN, we refine the notion of weak q-pseudoconvexity of [G. Zampieri, Solvability of the ̄∂ problem with C ∞ regularity up to the boundary on wedges of CN, Israel J. Math. 115 (2000) 321–331]. This is an intrinsic property which can be expressed in terms of q-subharmonicity both of a defining function or an exhaustion function of Ω. Under this condition we prove solvability of the ̄∂ system for forms with C ∞ ( ̄ Ω)-coefficients of degree q + 1. Our method relies on the L2-estimates by Hörmander [L. Hörmander, L2 estimates and existence theorems for the ̄∂ operator, Acta Math. 113 (1965) 89–152] and by Kohn [J.J. Kohn, Global regularity for ̄∂ on weakly pseudoconvex manifolds, Trans. Amer. Math. Soc. 181 (1973) 273–292]. For solvability with regularity up to the boundary in a domain without corners, we refer to [J.J. Kohn, Methods of partial differential equations in complex analysis, Proc. Sympos. Pure Math. 30 (1977) 215–237] in case of classical pseudoconvexity, that is for q = 0 in our notation (or else for strong pseudoconvexity which means that the number of the positive Levi eigenvalues of the boundary is N − 1 − q), and we refer to [L. Baracco, G. Zampieri, Global regularity for ̄∂ on q-pseudoconvex domains, 2003] for general q-pseudoconvexity. For local existence on wedge-type domains we refer to [G. Zampieri, Solvability of the ̄∂ problem with C ∞ regularity up to the boundary on wedges of CN, Israel J. Math. 115 (2000) 321–331]

    Isogeometric collocation approximations of acoustic wave problems

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    In the last decades there has been an increasing attention to high order simulation of acoustic wave propagation by considering spectral, spectral elements and isogeometric (IGA) discretizations. Our previous work [1] investigated the approximation of 2D acoustic wave problems with proper absorbing boundary conditions by Galerkin IGA methods in space and Newmark’s explicit schemes in time. We extend now our study to IGA collocation explicit and implicit methods [2] in order to optimize the storage of stiffness and mass matrices and the computational costs. A detailed numerical study on both Cartesian and NURBS domains illustrate the stability and convergence properties of the IGA Newmark Collocation method with respect to all the IGA parameters, namely the local polynomial degree p, regularity k, mesh size h, and to the Newmark parameters t, β and γ. The results show that the stability thresholds of the method depend linearly on h and inversely on p, confirming that the proposed IGA Collocation method retains the good convergence and stability properties of standard IGA Galerkin and spectral element discretizations of acoustic problems. Moreover, a detailed comparison of convergence errors, computational times, and matrix sparsity patterns show that IGA Collocation often outperforms IGA Galerkin, in particular in the case of maximal regularity k = p - 1 and for increasing NURBS degree p. REFERENCES [1] E. Zampieri and L. F. Pavarino. Explicit second order isogeometric discretizations for acoustic wave problems. Computer Methods in Applied Mechanics and Engineering, 348:776– 795, 2019. [2] E. Zampieri and L. F. Pavarino. Isogeometric collocation discretizations for acoustic wave problems. Computer Methods in Applied Mechanics and Engineering, to appear, 2021

    Insegnare la stratificazione sociale. Didattica esperienziale in un “campo di fragole”

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    Cos’hanno in comune il professor Dewey Finn, protagonista dell’iconico film School of Rock, e John Keating, l’insegnante di letteratura del memorabile L’attimo fuggente? Sicuramente un approccio alla didattica di tipo esperienziale. L’analisi di Giovanni Zampieri parte proprio da un’attività esperienziale realizzata nell’Anno Accademico 2016/2017 nell’ambito del corso in Logica delle Scienze Sociali: ripercorrendo le fasi di progettazione e realizzazione dell’esperimento si arriva a discuterne i risultati e a mostrarne limiti e potenzialità. Il testo costituisce, quindi, una risorsa stimolante per coloro che si occupano di didattica esperienziale e apprendimento attivo o intendono impiegare le tecniche della ricerca sociale al fine di valutare l’impatto di strategie educative alternative rispetto allo stile di lezione frontale
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