Publications of Elena Zampieri

E. Zampieri

A comparative numerical study of spectral properties in isogeometric collocation and Galerkin methods for acoustic waves.

Advances in Computational Mathematics 52, 10 (2026)

https://doi.org/10.1007/s10444-026-10281-z


E. Zampieri, L. F. Pavarino, S. Scacchi

Overlapping Schwarz preconditioners for isogeometric discretizations of acoustic wave problems. 

Comp. Meth. Appl. Mech. Eng.  448(A) (2026) 118397.

https://doi.org/10.1016/j.cma.2025.118397


E. Zampieri, L. F. Pavarino

Conditioning and spectral properties of Isogeometric collocation matrices for acoustic wave problems.

Advances in Computational Mathematics 50, 16 (2024)

https://doi.org/10.1007/s10444-024-10113-y

E. Zampieri, L. F. Pavarino

A numerical comparison of Galerkin and Collocation Isogeometric approximations of acoustic wave problems.

Applied Numerical Mathematics (2023), available online

https://doi.org/10.1016/j.apnum.2023.06.001.


E. Zampieri, L. F. Pavarino

Isogeometric collocation discretizations for acoustic wave problems. 

Comp. Meth. Appl. Mech. Eng.  385 (2021) 114047.

https://doi.org/10.1016/j.cma.2021.114047

E. Zampieri, L. F. Pavarino
Explicit second order isogeometric discretizations for acoustic wave problems.
Comp. Meth. Appl. Mech. Eng.  348 (2019) 776-795.
https://doi.org/10.1016/j.cma.2019.01.046

B. Galuzzi, E. Zampieri, E. Stucchi
A Local Adaptive Method for the Numerical Approximation in Seismic Wave Modelling.

Communications in Applied and Industrial Mathematics, 8 (1), (2017) , 265–281.

B. Galuzzi, E. Zampieri, E. Stucchi
Global Optimization Procedure to Estimate a Starting Velocity Model for Local Full Waveform Inversion
In: Springer Proceedings in Mathematics and Statistics. Prima Edizione
(International Conference on Optimization and Decision Science, ODS, 2017)
Springer New York LLC, (2017) 171-179.

Pavarino L.F., Scacchi S., Verdi C., Zampieri E., Zampini S.
Scalable BDDC Algorithms for the Cardiac Electromechanical Coupling
In: Lee CO. et al. (eds)
Domain Decomposition Methods in Science and Engineering XXIII.
Lecture Notes in Computational Science and Engineering, 116 (2017) 261-268.

B. Galuzzi, E. Stucchi, E. Zampieri
Optimal parameters for finite difference modeling of 2D seismic wave equation
.
In: Atti del 34-esimo Convegno del Gruppo Nazionale di Geofisica della Terra Solida (2015) 153-159

L. Ghezzi, L. F. Pavarino, E. Zampieri
Overlapping 
Schwarz preconditioned eigensolvers for spectral element discretizations.
Applied Mathematics and Computation, 218 (2012) 7700-7710.

L. Ghezzi, L. F. Pavarino, E. Zampieri
Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media.
J. Comput. Appl. Math.  234 (2010), pp. 1492-1504.

L. F. Pavarino, E. Zampieri, R. Pasquetti, F.Rapetti
Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements.
SIAM Journal on Scientific Computing 29 No. 3 (2007) 1073-1092.

R. Pasquetti, L. F. Pavarino, F.Rapetti, E. Zampieri
Overlapping Schwarz preconditioners for Fekete spectral elements.
Domain Decomposition Methods in Science and Engineering XVI,  Lecture Notes in Computational Science and Engineering 
Olof B. Widlund and David E. Keyes Editors, 55 (2007)  715-722.

R. Pasquetti, F.Rapetti, L. F. Pavarino, E. Zampieri
Neumann-Neumann Schur complement methods for Fekete spectral elements.
Journal of Engineering Mathematics 56 No. 3 (2006) 323-335.

L. F. Pavarino, E. Zampieri
Implicit spectral element methods and Neumann-Neumann preconditioners for acoustic waves.
Comp. Meth. Appl. Mech. Eng.  195/19-22 (2006) 2649-2673.

L. F. Pavarino, E. Zampieri
Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves.
J. Sci. Comput.  27 No. 1 (2006) 51-73.

E. Zampieri, L. F. Pavarino
An explicit second order spectral element method for acoustic waves.
Advances in Computational Mathematics 25 No. 4 (2006) 381-401

E. Zampieri, L. F. Pavarino
Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods.
J. Comput. Appl. Math. 185 (2006)  308-325.

L.F.Pavarino, E.Zampieri
Preconditioners for spectral discretizations of Helmholtz's equation with Sommerfeld boundary conditions.
Comp. Meth. Appl. Mech. Eng. 190 (2001) 5341-5356.

A.Quarteroni, A.Tagliani, E.Zampieri
Generalized Galerkin approximations of elastic waves with absorbing boundary conditions.
Comp. Meth. Appl. Mech. Eng. 163 (1998) 323-341.

A.Cividini, E.Zampieri
Non linear stress analysis problems by spectral collocation methods.
Comp. Meth. Appl. Mech. Eng. 145 (1997) 185-201.

E.Zampieri, A.Tagliani
Numerical approximation of elastic waves equations by implicit spectral methods.
Comp. Meth. Appl. Mech. Eng. 144 (1997) 33-50.

E.Zampieri
Numerical methods for solving an hyperbolic inverse integrodifferential problem.
J. Inv. Ill-Posed Problems 4 No. 6 (1996) 535-552.

E.Zampieri
On the condition number of some spectral collocation operators and their finite element preconditioning.
J. Sci. Comput. 9 (1994) 419-443.

S.Albertoni, L.Deidda, A.Ferrari,E.Zampieri
Legendre spectral collocation approximation to the Helmholtz equation: preconditioning and domain decomposition methods.
in: A. Fasano and M. Primicerio eds., "Proceedings of the 7th European Conference on Mathematics in Industry", (B.G. Teubner Stuttgart, 1994) 123-130.

A.Cividini, A.Quarteroni, E.Zampieri
Numerical solution of linear elastic problems by spectral collocation methods.
Comp. Meth. Appl. Mech. Eng. 104 (1993) 49-76.

E.Zampieri
A multidomain spectral collocation solver for the elasticity problem.
in: David E. Keyes et al. eds., "Domain Decomposition Methods for Partial Differential Equations, V" (SIAM, Philadelphia, 1992) 614-623.

A.Quarteroni, E.Zampieri
Finite element preconditioning for Legendre spectral collocation approximations to elliptic equations and systems.
SIAM J. Numer. Anal. 29 (1992) 917-936.

A.Quarteroni, E.Zampieri
A multilevel domain decomposition method for elliptic problems.
in: Proceedings of the 8th France-USSR-Italy Joint Symposium (I.A.N. - C.N.R. Pubbl. n. 730, Pavia, 1989) 327-349. 

E.Zampieri
Iterative methods for domain decomposition using spectral Tau and collocation approximation.
Calcolo  26 (1989) 61-91.

   

Thesis

Degree thesis (1987)
Metodi Tau e di Collocazione nell'approssimazione di problemi differenziali con multidomini
Advisor: Prof. A.Quarteroni.


PhD thesis (1992)
Metodi di precondizionamento e tecniche multidomini per l'approssimazione numerica di problemi ellittici   
Advisor: Prof. A.Quarteroni.