Paola PIETRA
Complete
list of publications
To request any of the papers which are not made available here
please e-mail to pietra@imati.cnr.it
Recent Publications
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C. Jourdana, P. Pietra, and N. Vauchelet: Hybrid coupling of a one-dimensional energy-transport Schrödinger system.
Monatshefte für Mathematik, (), 1-34, DOI 10.1007/s00605-016-1008-8
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I.Perugia, P. Pietra, and A. Russo:
A Plane Wave Virtual Element Method for the Helmholtz Problem ,
ESAIM: M2AN 50 (2016), 783-808.
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A.L.Lombardi, P.Pietra, and M.I.Prieto: A-posteriori error estimator for exponentially fitted DG
approximation for advection dominated problems
Calcolo 53 (2016), 83-103.
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C. Jourdana and P. Pietra: A hybrid classical-quantum transport model for the simulation of Carbon Nanotube transistors SIAM J. Sci. Comp. 36 (2014), B486-B507.
- P.Pietra and N. Vauchelet: Numerical simulations of an energy-transport model for partially quantized particles Commun. Math. Sci. 12 (2014), 99-123.
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N. Ben Abdallah, C. Jourdana, and P. Pietra: An effective mass model for the simulation of ultra-scaled confined devices Math. Models Methods Appl. Sci. 22 issue 12 (2012).
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N. Ben Abdallah, C. Jourdana, P.Pietra, and N. Vauchelet: A hybrid classical-quantum approach for ultra-scaled confined nanostructures: modeling and simulation ESAIM Proc. 35 (2012), 239-244.
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B. Ayuso de Dios, A. Lombardi, P. Pietra, and L. Zikatanov: A block solver for the exponentially fitted IIPG-0 method Lecture Notes in Computational Science and Engineering 91 (2013), 239-246.
- A. Lombardi and
P. Pietra: Exponentially fitted Discontinuous Galerkin schemes for singularly perturbed problems Numer. Meth. Part. Differ. Equations 28 (2012), 1747-1777.
- A.Jüngel, S.Krause, and P.Pietra: Diffusive semiconductor moment equations using Fermi-Dirac statistics Z. Angew. Math.Phys. 62 (2011), 623-639.
- P.Pietra and N.Vauchelet: Modeling and simulation of the diffusive transport in a nano-scale Double-Gate MOSFET, J. Comput Elec. 7 (2008), 56-65.
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A.Jüngel, S.Krause, and P.Pietra: A Hierarchy of Diffusion Higher-Order Moment Equations for Semiconductors, SIAM J. Appl. Math. 68 (2007), 171-198.
- F. Brezzi, L. D. Marini, S. Micheletti,
P. Pietra, and R. Sacco: Stability and Error Analysis of Mixed Finite Volume
Methods for Advection Dominated Problems, Computers &
Mathematics with Applications 51 (2006), 681-696.
- N. Ben Abdallah, F.Mehats, P.Pietra, and N.Vauchelet: A drift-diffusion subband model for the Double-Gate MESFET,
IEEE-NANO Conference on Nanotechnology, Nagoya, Japan (2005).
- S.Holst, A.Jüngel, and P.Pietra: An adaptive
mixed scheme for energy-transport simulations of field-effect
transistors , SIAM J. Sci.Comp. 25
(2004), 1698-1716.
- S.Holst, A.Jüngel, and P.Pietra: Finite element
discretizations of semiconductor energy-transport equations
, in Mathematical Modelling, Simulation and Optimization
of Integrated Circuits , K. Antreich et al. (eds.),
Intern. Series Numer. Math. Vol. 146 (2003), Birkhauser, Basel, 49-64.
- F.Brezzi, L.D.Marini, S. Micheletti, P.Pietra, R. Sacco,
and S. Wang: Finite element
and finite volume discretizations of Drift-Diffusion type fluid
models for semiconductors , in Handbook of numerical
Analysis, Volume XIII: Special Volume: Numerical Methods in Electromagnetics
, W.H.A. Schilders, E.J.W. ter Maten, Guest eds, P.G.Ciarlet ed.,
(2005) Elsevier, Amsterdam, 317-441.
- G.Gazzaniga, P.Lanucara, P.Pietra, S.Rovida,
and G.Sacchi: Rapid
parallelization of the drift diffusion model for semiconductor devices,
in Proceedings of EWOMP 2002 , September 18-20, 2002,
Rome.
- S.Holst, A.Jüngel, and P.Pietra:
A mixed
finite element discretization of the energy-transport models
for semiconductors SIAM Jour. Scien.Comp.
24 (2003), 2058-2075.
- M.Burger, H.W.Engl, P.A.Markowich, and
P.Pietra: Identification
of Doping Profiles in Semiconductor Devices , Inverse
Problems 17 (2001), 1765-1795.
- P.A.Markowich, P.Pietra, C.Pohl, and
P.H.Stimming: A
Wigner-Measure Analysis of the Dufort-Frankel Scheme for the Schrödinger
Equation , SIAM Numer.Anal. 40
(2002), 1281-1310.
- R.Kosik, P.Fleischman, B.Haindl, P.Pietra,
and S.Selberherr: On the
Interplay between Meshing and Discetization in Three-Dimensional
Diffusion Simulation , IEEE Trans. CAD Integrated Circuits
and Systems 19 (2000), 1233-1240.
- F.Brezzi, M.Manzini, L.D.Marini, P.Pietra,
and A.Russo: Discontinous
Galerkin approximations for elliptic problems, Numer.
Methods Partial Differential Eq. 16, (2000), 365-378.
- P.Degond, A.Jüngel, and P.Pietra:
Numerical
discretization of energy-transport models for semiconductors
with non-parabolic band structure SIAM Jour.
Scien.Comp., 22 (2000), 986-1007.
- S.Bertoluzza and P.Pietra: Space-
Frequency Adaptive Approximation for Quantum Hydrodynamic Models,
Proc. Mathematical Aspects in Fluid and Plasma Dynamics,
Maui, Hawaii (USA), 28 June - 3 Juli 1998. Special Issue of
Trans. Theory and Stat. Phys. 29 (2000), 375-395.
- F.Brezzi, M.Manzini, L.D.Marini, P.Pietra,
and A.Russo: Discontinous Finite Elements for Diffusion Problems,
in Francesco Brioschi (1824-1897), Convegno di Studi Matematici,
Ottobre 22-23 1997, Ist.Lomb. Acc.Sc.Lett., Incontro
di Studio N.16 (1999), 197-217.
- P.Pietra and C.Pohl:
Weak limits of the Quantum Hydrodynamic Model , Proc.
International Workshop on Quantum Kinetic Theory, Breckenridge, Colorado
(USA), August 1997 , Special Issue of VLSI Design 9 (1999),
427-434.
- P.A.Markowich, P.Pietra, and C.Pohl: Semiclassical
analysis of discretizations of Schrödinger-type equations,
Proc. International Workshop on Quantum Kinetic Theory, Breckenridge,
Colorado (USA), August 1997, Special Issue of VLSI Design
9 (1999), 397-413.
- P.A.Markowich, P.Pietra, and C.Pohl: Numerical
approximation of quadratic observables of Schrödinger-type
equations in the semi-classical limit. Numer. Math.,
81 (1999), 595-630.
Submitted Papers
pietra@imati.cnr.it, November 2016