Publications

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    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).

    • 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". Technical Report QDD-53, Dipartimento di Matematica Politecnico di Milano, September 2009. Accepted for publication in ''Computer Methods in Applied Mechanics and Engineering'' (2010).

    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).

    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

  • B. Cockburn, B. Dong, J. Guzman, M. Restelli, R. Sacco, ''Analysis of hybridizable discontinuous Galerkin methods for steady-state convection-diffusion-reaction problems''. Submitted for publication in ``IMA Journal on Numerical Analysis''. May 2009.
  • M. Brera, J.W. Jerome, Y. Mori, R. Sacco, "A Conservative and Monotone Mixed--Hybridized Finite Element Approximation of Transport Problems in Heterogeneous Domains". Technical Report QDD-62, Dipartimento di Matematica Politecnico di Milano, February 2010. Submitted for publication in ''Computer Methods in Applied Mechanics and Engineering'' (2010).