To request any of these papers please e-mail me: francesca.gardini_at_dimat.unipv.it

  1. D. Boffi, O. Certik, F. Gardini, G. Manzini.
    The Partition of Unity Finite Element Method for the Schrödinger Equation.
    Comput. Methods Appl. Math., (2024). Published online.

  2. D. Boffi, F. Gardini, L. Gastaldi.
    Virtual Element Approximation of Eigenvalue Problems.
    In: Antonietti, P.F., Beirao da Veiga, L., Manzini, G. (eds)
    The Virtual Element Method and its Applications. SEMA SIMAI Springer Series, vol 31 (2022). Springer, Cham.

  3. D. Boffi, F. Gardini, L. Gastaldi.
    Approximation of PDE eigenvalue problems involving parameter dependent matrices
    Calcolo, 57(41) (2020), 1-21.

  4. O. Certik, F. Gardini, G. Manzini, L. Mascotto, G. Vacca.
    The p- and hp-versions of the virtual element method for elliptic eigenvalue problems
    Computer & Mathematics with Applications 79, (2020), no. 7, 2035-2056.

  5. O. Certik, F. Gardini, G. Manzini, G. Vacca.
    The Virtual Element Method for Eigenvalue Problems with Potential Terms on Polytopal Meshes
    Appl. Math. 63 (2018), no. 3, 333-365.

  6. F. Gardini, G. Manzini, G. Vacca.
    The Nonconforming Virtual Element Method for Eigenvalue Problems
    ESAIM: M2AN 53, (2019), no. 3, 749-774.

  7. F. Gardini, G. Vacca.
    Virtual Element Method for Second Order Elliptic Eigenvalue Problems
    IMA J. Numer. Anal. 38 (2018), no. 4, 2026-2054.

  8. D. Boffi, D. Gallistl, F. Gardini, L. Gastaldi.
    Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form.
    Mathematics of Computation, 86 (2017), no. 307, 2213-2237.

  9. D. Boffi, R.G. Durán, F. Gardini, L. Gastaldi.
    A posteriori error analysis for nonconforming approximation of multiple eigenvalues.
    Mathematical Methods in the Applied Sciences, 40 (2017), no. 2, 350-369.

  10. D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi.
    Mass preserving distributed lagrange multiplier approach to immersed boundary method.
    (Proceedings of the V International Conference on Computational Methods for Coupled Problems in Science and Engineering),
    in: Coupled Problems 2013, pp. 323-334, S. Idelsohn, M. Papadrakakis, and B. Schrefler (Eds). Cimne.

  11. D. Boffi, F. Gardini, L. Gastaldi.
    Some remarks on eigenvalue approximation by finite elements.
    In: Frontiers in Numerical Analysis - Durham 2010, pp.1-77.
    Springer Lecture Notes in Computational Science and Engineering, 85 (2012).

  12. D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi.
    Stabilized stokes element and local mass conservation.
    Bollettino U.M.I., (9) V (2012), no. 3, 543-573.

  13. D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi.
    Local mass conservation of Stokes finite elements.
    Journal of Scientific Computing, 52 (2012), no. 2, 383-400.

  14. D. Boffi, N. Cavallini, F. Gardini, L. Gastaldi.
    Immersed boundary method: performance analysis of popular finite element spaces.
    (Proceedings of the IV International Conference on Computational Methods for Coupled Problems in Science and Engineering),
    in: Coupled Problems 2011, pp. 1-12, M. Papadrakakis, E. Onate and B. Schrefler (Eds). Cimne.

  15. A. Gangiani, F. Gardini, G. Manzini.
    Convergence of the mimetic finite difference method for eigenvalue problems in mixed form.
    Comp. Meth. Appl. Mech. Engrg., 200 (2011), no. 9-12, 1150-1160.

  16. F. Gardini.
    Mixed approximation of eigenvalue problems: a superconvergence result.
    M2AN Math. Model. Numer. Anal., 43 (2009), no. 5, 853-865.

  17. F. Gardini.
    On a superconvergence result for mixed approximation of eigenvalue problems.
    (Proceedings of ENUMATH 2005, September 18-22, 2005, Santiago de Compostela, Spain),
    in: Numerical mathematics and advanced applications, pp. 243-251, Springer, Berlin, 2006.

  18. F. Gardini.
    Discrete compactness property for quadrilateral finite element spaces.
    Numer. Methods Partial Differential Equations, 21 (2005), no. 1, 41-56.

  19. F. Gardini.
    A posteriori error estimates for an eigenvalue problem arising from fluid-structure interaction.
    (Proceeding of the Third M.I.T. Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005, Cambridge MA, USA),
    in: Computational fluid and solid mechanics, pp. 228-231, Elsevier, Amsterdam, 2005.

  20. F. Gardini.
    A posteriori error estimates for an eigenvalue problem arising from fluid-structure interaction.
    Istit. Lombardo Accad. Sci. Lett. Rend. A 138 (2004), 17-34.


Thesis
  1. F. Gardini.
    A posteriori error estimates for eigenvalue problem in mixed form, PhD Thesis.

  2. F. Gardini.
    Proprietà di compattezza discreta per spazi di elementi finiti su quadrilateri, Tesi di Laurea.


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