Books
- A. Quarteroni, R. Sacco, F. Saleri,
"Numerical Mathematics", Texts in Applied Mathematics (TAM) 37,
Springer-Verlag, New York, Inc. (2000), Second Edition (2007).
- A. Quarteroni, R. Sacco, F. Saleri,
``Methodes Numeriques. Algorithmes, analyse
et applications", Springer-Verlag, Paris (2007).
-
A. Quarteroni, R. Sacco, F. Saleri,``Numerische Mathematik 1",
Springer-Verlag, Berlin Heidelberg (2001) and
``Numerische Mathematik 2",
Springer-Verlag, Berlin Heidelberg (2002).
- A. Quarteroni, R. Sacco, F. Saleri,
"Matematica Numerica",
Second Edition, Springer-Verlag Italia, Milano (2004).
Third Edition, Springer-Verlag Italia, Milano (2008).
Chapter of Books
- F.Brezzi, L. D. Marini, S. Micheletti, P. Pietra, R. Sacco, S. Wang,
"Discretization of Semiconductor Device Problems (I)",
pp. 317-441, Handbook of Numerical Analysis, Vol. XIII,
P.G. Ciarlet Ed., W.H.A. Schilders, E.J.W. ter Maten, Guest Eds.,
Elsevier North-Holland, Amsterdam (2005).
Lecture Notes
- R. Sacco,
``Numerical simulation of charge transport in semiconductor
devices using mixed finite elements",
Mixed Finite Element Technologies,
Lecture Notes CISM Courses and Lectures, Vol. 509,
P. Wriggers, C. Carstensen, Eds., Springer Wien New York,
89-105 (2009).
- R. Sacco, ``Numerical simulation of thermal oxidation process in
semiconductor devices using mixed-hybrid finite elements",
Mixed Finite Element Technologies,
Lecture Notes CISM Courses and Lectures, Vol. 509,
P. Wriggers, C. Carstensen, Eds., Springer Wien New York,
107-130 (2009).
- Manuela Teresa Raimondi, Paola Causin, Matteo Lagana`,
Paolo Zunino, Riccardo Sacco,
``Multiphysics Computational Modeling in
Cartilage Tissue Engineering". To appear in
Studies in Mechanobiology, Tissue Engineering and Biomaterials,
Vol. 9, C. Baumann, Ed., Springer 2011.
Papers in International Journals with Peer-Review
- R.Sacco, "Variational formulation and
finite element solution of the nonlinear one dimensional Poisson's
equation in semiconductors", Rend. Ist. Lomb. Sc. e Lett. (A), 125,
265--293 (1991).
- R.Sacco, "Convergence of a Second-Order
Accurate Petrov-Galerkin Scheme for Convection-Diffusion
problems in Semiconductors", Appl. Num. Math., 11, 517--528
(1993).
- C.Celani, R.Sacco, "A divergence-free finite element
scheme for convection-diffusion problems: mathematical validation of
the patch test", Rend. Ist. Lomb. Sc. e Lett. (A), 128,
177--197 (1994).
- R.Sacco, "A nonconforming Petrov-Galerkin
finite element method for stationary convection-diffusion
equations", Rend. Ist. Lomb. Sc. e Lett. (A), 128, 223--245 (1994).
- R. Sacco, "A mixed problem for electrostatic potential
in semiconductors", Numer. Meth. Part. Diff. Eq., 10,
715-738 (1994).
- R.Sacco, E. Gatti, L.Gotusso, The patch
test as a validation of a new finite element for the solution of
convection-diffusion equations", Comp. Meth. Appl. Mech.
Engnrg., 124, 113--124 (1995).
- S. Micheletti, A. Quarteroni, R. Sacco,
"Current-Voltage Characteristics
Simulation of Semiconductor Devices using Domain Decomposition", J.
Comp. Phys., 119, 46--61 (1995).
- A. Longoni, E. Gatti, R. Sacco,
"Trapping noise in semiconductor
devices: a method for determining the noise spectrum as a
function of the trap position", J. Appl. Phys., 78(10),
6283--6297 (1995).
- E. Gatti, L. Gotusso, R. Sacco,
"An energy interpretation of a
stationary functional for the variational solution of the
nonlinear Poisson equation in semiconductors at thermal
equilibrium", Rend. Ist. Lomb. Sc. e Lett. (A), 129, 57--68
(1995).
- R. Sacco, D. Erricolo, E. Gatti,
"A perturbation approach for low
frequency noise in JFET's", Appl. Math. Comp., 74,161--190 (1996).
- R. Sacco, "Exponentially fitted shape
functions for advection-dominated flow problems in two dimensions",
J. Comput. Appl. Math., 67(1), 161--165 (1996).
- R. Sacco, F. Saleri, "Mixed finite volume methods for
semiconductor device simulation", Numer. Meth. Part. Diff. Eq., 13,
215--236 (1997).
- R. Sacco, F. Saleri, "Stabilized mixed finite volume
methods for convection-diffusion problems", East West J. Numer. Math.,
5 (4), 291--311 (1997).
- R. Sacco, F. Saleri, "Stabilization of mixed
finite elements for convection-diffusion problems", CWI Quarterly,
10 (3-4), 301--315 (1997).
- R. Sacco, M. Stynes, "Finite element methods for
convection-diffusion problems using exponential splines on triangles",
Comput. Math. Appl., 35 (3), 35--45 (1998).
- E. Gatti, S. Micheletti, R. Sacco,
"A New Galerkin Framework for the
Drift-Diffusion Equation in Semiconductors", East West J. Numer. Math.,
6 (2), 101--135 (1998).
- R. Sacco, E. Gatti, L. Gotusso,
"A nonconforming exponentially
fitted finite element method for two-dimensional drift-diffusion models
in semiconductors", Numer. Meth. Part. Diff. Eq., 15, 133--150
(1999).
- S. Micheletti, R. Sacco, "Stabilized Mixed Finite Elements
for Fluid Models in Semiconductors", Comput. Visual. Sci., Vol. 2,
139-147 (1999).
- G. Ghislotti, S. Pietralunga, L.
Ripamonti, R. Sacco, S. Micheletti, F. Bosisio,
"Time-resolved photocurrent and
electric field measurements in high resistivity CdTe", J. Appl. Phys.
87 (1), 322-328 (2000).
- F. Bosisio, S. Micheletti, R. Sacco,
"A discretization scheme for an
extended drift-diffusion model including trap-assisted phenomena", J.
Comp. Phys., 159, 197--212 (2000).
- S. Micheletti, R. Sacco, "Dual-Primal Mixed Finite Elements
for Elliptic Problems", Numer. Meth. Part. Diff. Eq., 17 (2), 137--151
(2001).
- S. Micheletti, R. Sacco, F. Saleri,
"On Some Mixed Finite Element
Methods with Numerical Integration", SIAM J. Sci. Comput. 23,
No.1, 245-270 (2001).
- L. Ballestra, S. Micheletti, R.
Sacco, F. Saleri, "On a viscous-hydrodynamic model
for semiconductors: numerical simulation and stability analysis",
Comput. Visual. Sci., 4 (2), 79--86 (2001).
- C. L. Bottasso, S. Micheletti, R. Sacco,
"The Discontinuous Petrov-Galerkin
Method for Elliptic Problems", Comput. Methods Appl. Mech. Engrg., 191,
3391--3409 (2002).
- L. Ballestra, S. Micheletti, R. Sacco,
"Semiconductor device simulation
using a viscous-hydrodynamic model'', Comput. Methods Appl. Mech.
Engrg., 191, 5447--5466 (2002).
- P. Causin, R. Sacco, "A Dual Mixed-Hybrid Formulation
for Fluid Mechanics Problems: Mathematical Analysis and Application to
Semiconductor Technology'', Comput. Methods Appl. Mech. Engrg., 192,
593--612 (2003).
- P. Causin, R. Sacco, "Mixed-Hybrid Finite Elements for
the Simulation of Thermal Oxidation in Semiconductors",
Journal of Computational and Applied Mathematics, 168 (1-2),
95-105 (2004).
- L. Ballestra, R. Sacco,
"Numerical Problems in Semiconductor Simulation
using the Hydrodynamic Model: a Second-Order Finite Difference Scheme",
J. Comp. Phys., 195 (1), 320-340 (2004).
- P. Causin, M. Restelli, R. Sacco,
"A simulation system based on mixed-hybrid finite elements
for thermal oxidation in semiconductor technology",
Comput. Methods Appl. Mech. Engrg., 193, 3687-3710 (2004).
- C. L. Bottasso, S. Micheletti, R. Sacco,
"A multiscale formulation of the Discontinuous
Petrov-Galerkin Method for Advective-Diffusion Problems",
Comput. Methods Appl. Mech. Engrg., 194 (25-26), 2819-2838 (2005).
- C. de Falco, A. L. Lacaita, E. Gatti, R. Sacco,
"Quantum-Corrected Drift-Diffusion Models for Transport in
Semiconductor Devices", J. Comp. Phys., 204 (2), 533-561 (2005).
- C. Carstensen, P. Causin, R. Sacco,
"A Posteriori Dual-Mixed Adaptive
Finite Element Error Control for Lame` and Stokes Equations",
Numer. Math., 101, 309-332 (2005).
- P. Causin, R. Sacco,
"A discontinuous Petrov-Galerkin method with Lagrangian
multipliers for second order elliptic problems",
SIAM J. Numer. Anal., 43 (1), 280-302 (2005).
- C.L. Bottasso, P. Causin, R. Sacco,
"Flux-Upwind Stabilization of the Discontinuous
Petrov-Galerkin Formulation with Lagrangian Multipliers
for Advection-Diffusion Problems",
ESAIM: M2AN, Vol. 39 (6), 1087-1114 (2005).
- G. Cassano, C. Giulianetti, C. de Falco, R. Sacco,
"Numerical Simulation of Tunneling Effects
in Nanoscale Semiconductor Devices Using
Quantum Corrected Drift-Diffusion Models",
Comp. Meth. Appl. Mech. Engrg., 195, 2193-2208 (2006).
- M. Restelli, L. Bonaventura, R. Sacco,
"A semi-Lagrangian Discontinuous Galerkin Method
for Scalar Advection by Incompressible Flows",
J. Comp. Phys., 216 (1), 195-215 (2006).
- F. Brezzi, L.D. Marini, S. Micheletti, P. Pietra, R. Sacco,
"Stability and Error Analysis of Mixed Finite Volume Methods
for Advective-Diffusive Problems", Comput. Math. Appl.,
51, 681-696 (2006).
- L. Formaggia, S. Micheletti, R. Sacco, A. Veneziani,
"Mathematical modelling and numerical simulation of a glow-plug",
Applied Numerical Mathematics, 57 (10) 1125-1144 (2007).
- C. de Falco, G. Scrofani, R. Sacco,
"Stabilized 3D Finite Elements for the Numerical
Solution of the Navier-Stokes Equations in Semiconductors",
Comp. Meth. Appl. Mech. Engrg., 196, 1729-1744 (2007).
- A. Montano, M. Restelli, R. Sacco,
"Modeling and Numerical Simulation
Of Tethered Buoy Dynamics", Comp. Meth. Appl. Mech. Engrg.,
196, 4117-4129 (2007).
- M. Longaretti, G. Marino, B. Chini,
J.W. Jerome, R. Sacco, ``Computational models
in nano-bio-electronics: simulation of ionic transport
in voltage operated channels", Journal of Nanoscience and Nanotechnology,
8, 1-9 (2007).
- M. Longaretti, B. Chini,
J.W. Jerome, R. Sacco, "Electrochemical Modeling and Characterization
of Voltage Operated Channels in Nano-Bio-Electronics",
Sensor Letters, 6 (1), 49-56 (2008).
- J. W. Jerome, B. Chini, M. Longaretti, R. Sacco,
``Computational Modeling and Simulation
of Complex Systems in Bio-Electronics'',
Journal of Computational Electronics, 7 (1), 10-13 (2008).
- C. de Falco, J. W. Jerome, R. Sacco,
``Quantum Corrected Drift--Diffusion Models:
Solution Fixed Point Map and Finite Element Approximation'',
J. Comp. Phys., 228, 1770-1789 (2009).
- P. Causin, R.Sacco,
``Hierarchical Mixed Hybridized Methods for Elliptic
Problems'', Comp. Meth. Appl. Mech. Engrg.,
198, 1061-1073 (2009).
- J. W. Jerome, R. Sacco,
''Global Weak Solutions for an Incompressible Charged Fluid with
Multi-Scale Couplings: Initial-Boundary Value Problem''.
Nonlinear Analysis: Theory, Methods and Applications,
DOI information: 10.1016/j.na.2009.05.047 (2009).
- B. Cockburn, B. Dong, J. Guzman, M. Restelli, R. Sacco,
''An hybridizable discontinuous Galerkin method for steady-state
convection-diffusion-reaction problems'', SIAM J. Sci. Comp.,
31 (5), 3827-3846 (2009).
- C. de Falco, R. Sacco, M. Verri,
|
"Analytical and Numerical Study of Photocurrent Transients
in Organic Polymer Solar Cells".
|
Computer Methods in Applied Mechanics and Engineering, 199, 1722-1732 (2010).
- M. Brera, J.W. Jerome, Y. Mori, R. Sacco,
|
"A Conservative and Monotone Mixed--Hybridized
Finite Element Approximation of Transport Problems in
Heterogeneous Domains".
|
Computer Methods in Applied Mechanics and Engineering, 199, 2709-2720 (2010).
- R. Sacco, P. Causin, P. Zunino, M. T. Raimondi,
|
"A multiphysics/multiscale numerical simulation of scaffold-based
cartilage regeneration under interstitial perfusion in a bioreactor".
|
Biomechanics and Modeling in Mechanobiology
Volume 10, Number 4, 577-589 (2011), DOI: 10.1007/s10237-010-0257-z.
-
Manuela T. Raimondi, Paola Causin, Andrea Mara,
Michele Nava, Matteo Lagana`, Riccardo Sacco
|
"Breakthroughs in Computational Modeling
of Cartilage Regeneration in Perfused Bioreactors''.
|
IEEE Transactions on Biomedical Engineering,
Vol. 58, No. 12, 3496-3499, December 2011.
-
C. de Falco, M. Porro, R. Sacco, M. Verri,
|
"Multiscale Modeling and Simulation of Organic Solar Cells''.
|
Computer Methods in Applied Mechanics and Engineering,
Volumes 245-246, 15 October 2012, Pages 102-116.
-
Paola Causin, Riccardo Sacco, Maurizio Verri,
|
"A multiscale approach in the computational modeling of
the biophysical environment in artificial cartilage tissue
regeneration''.
|
Biomechanics and Modeling in Mechanobiology,
Doi: 10.1007/s10237-012-0440-5, 2012.
Papers in Proceedings with Peer-Review
- S. Micheletti, A. Quarteroni, R. Sacco, "Nonlinear
Block Iterative Solution of Semiconductor Device equations by a Domain
Decomposition Method", in 'Domain Decomposition Methods in Scientific
and Engineering Computing', D. Keyes et al. (eds.), Contemporary
Mathematics, American Mathematical Society, Vol. 180, 525-531 (1994).
- R. Sacco, E. Gatti, L. Gotusso,
"A discussion on two-dimensional finite element solutions of the
drift-diffusion semiconductor device equations.
Theory and numerical examples", in 'International Workshop
on Advanced Mathematical Methods in Electrical and Electronic
Measurements', IEEE - North Italy Section, 177-201 (1994).
- R. Sacco, F. Saleri, "Exponentially
fitted mixed finite volume methods for convection-diffusion problems",
in 'Proceedings
of the Ninth International Conference on Finite Elements in Fluids, New
Trends and Applications'
(Eds.: M. Morandi Cecchi, K. Morgan, J. Periaux, B. A. Schrefler,
O. C. Zienkiewicz), 1587-1596 (1995).
- R. Sacco, F. Saleri, "A
new mixed finite volume method for drift-diffusion models in
semiconductors", in 'Finite Volumes
for Complex Applications. Problems and Perspectives' (Eds.: F.
Benkhaldoun, R. Vismeier), Hermes-Paris, 365--372 (1996).
- F. Bosisio, E. Gatti, R. Sacco, F. Saleri,
"Exponentially
Fitted Mixed Finite Volumes for Energy Balance Models in Semiconductor
Device Simulation", ENUMATH97, Proceedings of the Second European
Conference on Numerical Mathematics and Advanced
Applications, 188-197 (1998).
- S. Micheletti, R. Sacco, "New
Developments in the Numerical Approximation of the Drift-Diffusion
Semiconductor Device Equations",
ENUMATH97, Proceedings of the Second European Conference on Numerical
Mathematics and Advanced Applications, 469-478 (1998).
- P.Causin, R. Sacco, "Mixed-Hybrid Galerkin and Petrov-Galerkin
Finite Element Formulations in Continuum Mechanics", Proceedings of
the Fifth World Congress on Computational Mechanics (WCCM V), Editors:
H.A. Mang, F.G. Rammestorfer, J. Eberhardsteiner, Publisher: Vienna
University of Technology, ISBN 3-9501554-0-6, http://wccm.tuwien.at,
Vienna, Austria (2002).
- S. Micheletti, R. Sacco, P. Simioni, "Numerical
Simulation of Resonant Tunnelling Diodes with a Quantum-Drift-Diffusion
Model", Scientific Computing in Electrical Engineering (SCEE-2002, June
23-28, 2002, Eindhoven, The Netherlands),Eds. W.H.A. Schilders, E.J.W.
ter Maten, S.H.M.J. Houben, Lecture Notes in Computer Science,
Springer-Verlag, 313-321 (2004).
- P. Causin, R. Sacco, "Mixed-Hybrid Finite
Element Methods for Coupled Problems in Silicon Dioxide Technology",
Lecture Notes in Computer Science, SCEE2002, Eds. W.H.A.
Schilders, E.J.W. ter Maten, S.H.M.J. Houben, Eindhoven,
The Netherlands, pp. 154--162, Springer-Verlag (2004).
- C.L. Bottasso, P. Causin, R. Sacco,
"An Upwind-Mixed Method for Advection-Diffusion Problems
with Static Condensation",
Applied and Industrial Mathematics in Italy, Series
on Advances in Mathematics for Applied Sciences,
M. Primicerio, R. Spigler, V. Valente (Eds.),
Vol. 69, World Scientific, Singapore, 167-178 (2005).
- B. Chini, J.W. Jerome, R. Sacco,
``Multi-Physics Modeling and Finite Element
Approximation of Charge Flow in Ionic Channels'',
Proceedings of EuroSimE 2006, ``Thermal, Mechanical and Multi-Physics
Simulation and Experiments in Micro-Electronics and
Micro-Systems", L.J. Ernst, G.Q. Zhang, P. Rodgers, M. Meuwissen,
S. Marco, O. de Saint Leger (Eds.), IEEE Shaker Publishing,
Maastricht (The Netherlands), 153-160 (2006).
- G. Cassano, C. Giulianetti, C. de Falco, R. Sacco,
``Quantum Corrected Drift-Diffusion Modeling and Simulation
of Tunneling Effects in Nanoscale Semiconductor Devices",
Scientific Computing in Electrical Engineering,
Proceedings of the SCEE-2004 Conference held in Capo d'Orlando (ME),
Series: Mathematics in Industry,
The European Consortium for Mathematics in Industry, Vol. 9,
A.M. Anile, G. Ali`, G. Mascali (Eds.), Springer-Verlag Berlin
Heidelberg, 300-307 (2006).
- P. Causin, R. Sacco,
``Hybridization of Galerkin and Petrov-Galerkin
Mixed Finite Element Methods for 2nd Order Elliptic
Problems'', Communications to SIMAI Congress,
ISSN 1827-9015, DOI: 10.1685/CSC06168, Vol. 2 (2007).
- M. Longaretti, J. W. Jerome, R. Sacco, B. Chini,
``Computational Models for The Numerical Simulation
of Voltage Operated Channels in Nano-Bio-Electronics'',
PAMM, Proc. Appl. Math. Mech., 7, 1030803-1030804 (2007).
- C. de Falco, J. W. Jerome, R. Sacco,
``A Functional Iteration for the Quantum Drift-Diffusion Model:
Existence Analysis and Numerical Approximation'',
PAMM, Proc. Appl. Math. Mech., 7, 1130603-1130604 (2007).
- R. Sacco,
''Multi-Physics Models for Bio-Hybrid Device Simulation'',
MathKnow, Mathematics, Applied Sciences and Real Life,
M. Emmer, A. Quarteroni Eds., Modeling, Simulation and Applications,
Vol. 3, Springer-Verlag Italia, 229-240 (2009).
- C. de Falco, R. Sacco,
''Error Estimates for a Mixed Hybridized
Finite Volume Method for 2nd Order Elliptic Problems'' (October 2010).
BAIL 2010 - Boundary and Interior Layers, Computational and
Asymptotic Methods. Lecture Notes in Computational Science and
Engineering, 2011, Volume 81, 109-117, DOI: 10.1007/978-3-642-19665-2_12.
- C. de Falco, A. Iacchetti, M. Binda, D. Natali,
R. Sacco, M. Verri,
''Modeling and Simulation of Organic Solar Cells''.
Accepted for publication in the Proceedings of the
Conference ''Scientific Computing in Electrical Engineering SCEE 2010'',
Series: Mathematics in Industry, Vol. 16,
Subseries: The European Consortium for Mathematics in Industry,
Michielsen, B., Poirier, J.-R. (Eds.), 1st Edition.,
ISBN 978-3-642-22452-2 (2011).
- P. Causin, R. Sacco,
|
''A Computational Model for Biomass
Growth Simulation in Tissue Engineering''.
|
Communications in Applied and Industrial Mathematics
DOI: 10.1685/journal.caim.370 (2011).
Didactical Books and Publications
-
R. Sacco, "Introduzione al metodo degli elementi finiti: teoria e
applicazioni" (in italian), Technical Report n. 13/R,
Dipartimento di Matematica
"F. Brioschi", Politecnico di Milano (1995).
- A. Quarteroni, R. Sacco, F.Saleri, "Esercizi
di Calcolo Numerico risolti con Matlab", Progetto Leonardo,
Esculapio Editore (1997).
- P. Causin, S. Micheletti, R. Sacco, "Introduzione
all'uso di MATLAB per il Calcolo Scientifico" (in italian),
Technical Report n. 29/R, Dipartimento di Matematica
"F. Brioschi", Politecnico di Milano (2000).
Papers Under Review
- M. Porro, G. Lanzani, C. de Falco, R. Sacco, M. Verri,
|
''Multiscale Simulation of Organic Heterojunction Light
Harvesting Devices''.
|
Submitted to COMPEL, December 1, 2012..