Journal Papers

Submitted for publication

  • A. Cangiani, F. Gardini, and G. Manzini. Convergence of the mimetic finite difference method for eigenvalue problems in mixed form. Technical Report 31PV09/24/0, IMATI-CNR (2009). Submitted for publication to Computer Methods in Applied Mechanics and Engineering.

  • K. Lipnikov, G. Manzini, F. Brezzi, and A. Buffa. The mimetic finite difference method for 3D magnetostatics fields problems. Technical Report 30PV09/23/0, IMATI-CNR (2009). Submitted for publication to Journal of Computational Physics.

  • S. Krell and G. Manzini. The Discrete Duality Finite Volume method for the Stokes equation on 3D polyhedral meshes. Technical Report 29PV09/22/0, IMATI-CNR (2009) and HAL repository. Submitted for publication to Numerische Mathematik.

  • L. Beirão da Veiga, J. Droniou, and G. Manzini. A unified approach to handle convection term in Finite Volumes and Mimetic Discretization Methods for elliptic problems. Technical Report 23PV09/19/0, IMATI-CNR (2009). Submitted for publication to IMA Journal on Numerical Analysis.

  • L. Beirão da Veiga, K. Lipnikov, and G. Manzini. The Mimetic Finite Difference method for steady Stokes problems on polyhedral meshes. Technical Report 6PV09/5/0, IMATI-CNR (2009). Submitted for publication to SIAM Journal on Numerical Analysis.

2010

  1. A. Lovison, G. Manzini, A. Maritan, A. Rinaldo, M. Putti. Spanning traceroutes over modular network and general scaling degree distributions. Physical Review E. Accepted for publication, 8 February 2010.

  2. Y. Coudière and G. Manzini. The discrete duality finite volume method for convection-diffusion problems. SIAM Journal on Numerical Analysis, published online 20 January 2010, (Vol.47, No.6).

2009

  1. G. Manzini. An efficient and conservative hybrid method for solving multi-dimensional conservation laws. Numerical Methods for Partial Differential Equations. An International Journal, 25(5):1029-1066, 2009.

  2. L. Beirão da Veiga, K. Lipnikov, and G. Manzini. Convergence analysis of the high-order mimetic finite difference method. Numerische Mathematik, 113(3): 325—356, 2009.

  3. A. Cangiani, G. Manzini, and A. Russo. Convergence analysis of a mimetic finite difference method for general second-order elliptic problems. SIAM Journal on Numerical Analysis, 47(4): 2612-2637, 2009.

  4. G. Manzini. An implicit-explicit finite volume scheme for 1-D convection-reaction equations. Mathematics and Computers in Simulation, 79:2403-2428, 2009.

  5. L. Beirão da Veiga, V. Gyrya, K. Lipnikov, and G. Manzini. Mimetic finite difference method for the Stokes problem on poligonal meshes. Journal of Computational Physics, 228(19):7215-7232, 2009.

2008

  1. L. Beirão da Veiga and G. Manzini. An a-posteriori error estimator for the mimetic finite difference approximation of elliptic problems. International Journal of Numerical Methods in Engineering, 76(11):1696-1723, 2008.

  2. L. Beirão da Veiga and G. Manzini. A higher-order formulation of the mimetic finite difference method. SIAM, J. Sci. Comput., 31(1):732-760, 2008.

  3. S. Bertoluzza, S. Falletta, and G. Manzini. Efficient design of residual-based stabilization techniques for the three fields domain decomposition method. Mathematical Models and Methods in Applied Sciences, 18(7):973-999, 2008.

  4. A. Cangiani and G. Manzini. Flux reconstruction and solution post-processing in mimetic finite difference methods. Computer Methods in Applied Mechanics and Engineering, 197(9-12):933-945, 2008.

  5. G. Manzini and A. Russo. A finite volume method for advection-diffusion problems in convection-dominated regimes. Computer Methods in Applied Mechanics and Engineering, 197(13-16):1242-1261, 2008.

2007

  1. E. Bertolazzi and G. Manzini. Computer modeling of liquid-solid impacts. Mathematical and Computer Modelling, 45(1-2):162-176, 2007.

  2. E. Bertolazzi and G. Manzini. DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems. Mathematics and Computers in Simulation, 75(5-6):141-160, 2007.

  3. E. Bertolazzi and G. Manzini. On vertex reconstructions for cell-centered finite volume approximations of 2D anisotropic diffusion problems. Mathematical Models and Methods in Applied Sciences, 17(1):1-32, 2007.

  4. G. Manzini and M. Putti. Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations. Journal of Computational Physics, 220(2):751-771, 2007.

2006

  1. M. Arioli and G. Manzini. A network programming approach in solving Darcy's equation by mixed finite element methods. Electronic Transactions on Numerical Analysis, 22:41-70, 2006.

2005

  1. E. Bertolazzi and G. Manzini. A second-order maximum principle preserving finite volume method for steady convection-diffusion problems. SIAM Journal on Numerical Analysis, 43(5):2172-2199, 2005.

  2. E. Bertolazzi and G. Manzini. A unified treatment of boundary conditions in least square-based finite volume methods. Computer & Mathematics with Applications, 49(11-12):1755-1765, 2005.

2004

  1. E. Bertolazzi and G. Manzini. A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes. Mathematical Models and Methods in Applied Sciences, 14(8):1235-1260, 2004.

  2. E. Bertolazzi and G. Manzini. A finite volume method for transport of contaminants in porous media. Applied Numerical Mathematics, 49(3-4):291-305, 2004.

  3. E. Bertolazzi and G. Manzini. Least square-based finite volumes for solving the advection-diffusion of contaminants in porous media. Applied Numerical Mathematics, 51(4):451-461, 2004.

  4. E. Bertolazzi and G. Manzini. Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation. Applied Numerical Mathematics, 49(3-4):277-289, 2004.

  5. E. Bertolazzi and G. Manzini. A mixed finite element solver for liquid-liquid impacts. Communications in Numerical Methods in Engineering, 20(8):595-606, 2004.

  6. E. Bertolazzi and G. Manzini. A finite volume method for the numerical simulation of liquid bore impact against wall. Far East Journal of Applied Mathematics, 14(2):221-241, 2004.

  7. G. Manzini and S. Ferraris. Mass-conservative finite volume methods on 2-D unstructured grids for the Richards' equation. Advances in Water Resources, 27(12):1199-1215, 2004.

2003

  1. M. Arioli and G. Manzini. Null space algorithm and spanning trees in solving Darcy's equation. BIT Numerical Mathematics, 43(5):839-848, 2003.

  2. C. Gallo and G. Manzini. Finite volume/mixed finite element analysis of pollutant transport and bioremediation in heterogeneous saturated aquifers. International Journal for Numerical Methods in Fluids, 42(1):1-21, 2003.

2002

  1. M. Arioli and G. Manzini. A null space algorithm for mixed finite-element approximations of Darcy's equation. Communications in Numerical Methods in Engineering, 18(9):645-657, 2002.

  2. E. Bertolazzi and G. Manzini. Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers. ACM Transactions on Mathematical Software, 28(1):101-131, 2002.

  3. G. Manzini and S. Mazet. An object-oriented interface for the dynamic memory management of sparse discrete mathematical operators in numerical scientific applications. Software - Practice and Experience, 32(7):621-644, 2002.

2001

  1. E. Bertolazzi and G. Manzini. A triangle-based unstructured finite-volume method for chemically reactive hypersonic flows. Journal of Computational Physics, 166(1):84-115, 2001.

  2. C. Gallo and G. Manzini. A fully coupled numerical model for two-phase flow with contaminant transport and biodegradation kinetics. Communications in Numerical Methods in Engineering, 17(5):325-336, 2001.

2000

  1. E. Bertolazzi and G. Manzini. P2MESH: an extensible set of generic classes for PDE solvers on 2-D unstructured meshes. Annali dell'Università di Ferrara. Nuova Serie. Sezione VII. Scienze Matematiche, 46:203-214, 2000.

  2. F. Brezzi, G. Manzini, D. Marini, P. Pietra, and A. Russo. Discontinuous Galerkin approximations for elliptic problems. Numerical Methods for Partial Differential Equations. An International Journal, 16(4):365-378, 2000.

1999

  1. G. Manzini and L. Stolcis. Distributed parallel strategies for industrial CFD solvers: a case study and analysis of performances. Journal for Parallel and Distributed Computing, 57(3):334-344, 1999.

1998

  1. L. Bergamaschi, S. Mantica, and G. Manzini. A mixed finite element-finite volume formulation of the black-oil model. SIAM, Journal on Scientific Computing, 20(3):970-997, 1998.

  2. C. Fassino and G. Manzini. Fast-secant algorithms for the non-linear Richards' equation. Communications in Numerical Methods in Engineering, 14(10):921-930, 1998.

  3. C. Gallo and G. Manzini. 2-D numerical modeling of bioremediation in heterogeneous saturated soils. Transport in Porous Media, 31(1):67-88, 1998.

  4. C. Gallo and G. Manzini. A mixed finite element/finite volume approach for solving biodegradation transport in groundwater. International Journal for Numerical Methods in Fluids, 26(5):533-556, 1998.

  5. C. Vittoli, P. Wilders, M. Manzini, and G. Fotia. Distributed parallel computation of 2-D miscible transport with multi-domain implicit time integration. Simulation-Practice and Theory, 6(1):71-88, 1998.

1996

  1. L. Giraud and G. Manzini. Parallel implementations of 2-D explicit Euler solvers. Journal of Computational Physics, 123(1):111-118, 1996.

  2. A. Quarteroni, D. Ambrosi, L. Formaggia, G. Fotia, G. Manzini, M. Mulas, and L. Stolcis. Modeling and simulation in computational fluid dynamics at CRS4. IEEE - Computational Science and Engineering, 3(3):4-8, 1996.

1994

  1. G. Manzini, A. Ticca, and G. Zanetti. Interactive books. International Journal of Modern Physics C, 5(5):785-790, 1994.

Book Chapters

  1. G. Manzini and L. Stolcis. Distributed parallel strategies for industrial CFD solvers. In H. Power, editor, High-Performance Computing Vol.3 - Algorithms and Applications of Parallel Computing. Computational Mechanics Publications, Southampton - UK, 1998.

Conference Proceedings (with peer review)

  1. G. Manzini. The mimetic finite difference method. Benchmark on anisotropic problems. In R. Eymard and Hérard J.-M., editors, Finite Volumes for Complex Applications V, Problems and Perspectives, pages 865-878. Wiley, 2008.

  2. G. Manzini. The mimetic finite difference method (invited). In R. Eymard and Hérard J.-M., editors, Finite Volumes for Complex Applications V, Problems and Perspectives, pages 119-134. Wiley, 2008.

  3. E. Bertolazzi and G. Manzini. Polynomial reconstructions and limiting strategies in finite volume approximations. In R. Herbin and D. Kroner, editors, Finite Volumes for Complex Applications III, Problems and Perspectives, pages 285-292. Hermes Penton Science, 2002.

  4. E. Bertolazzi and G. Manzini. High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems. In F. Brezzi and et al., editors, Proceedings ENUMATH 2001, the Fourth European Conference on Numerical Mathematics and Advanced Applications, pages 35-44, Ischia, July 23-28 2001. Springer.

Software

  1. M. Arioli and G. Manzini. HSL_MI31 - Package Specification. In HSL Release 2004. Computational Centre and Engineering Department, Atlas Centre, Rutherford Appleton Laboratory, CCLRC, Oxon, UK.

  2. M. Arioli and G. Manzini. MI31: a conjugate gradient algorithm implementation with energy-norm stopping criteria. Technical Report RAL-TR-2005-004, Computational Centre and Engineering Department, Atlas Centre, Rutherford Appleton Laboratory, CCRLC, Oxon, Uk, March 2005.

Conference Proceedings

  1. E. Bertolazzi, G. Manzini, and F. Trivellato. A mixed finite element solver for liquid-liquid impacts. In XXIX Convegno di Idraulica e costruzioni idrauliche, pages 1-9. Università degli Studi di Trento, 7-10 September 2004. Tech. Report IMATI-14-PV.

  2. E. Bertolazzi and G. Manzini. Least square-based finite volumes for solving the advection-diffusion of contaminants in porous media. In R. M. Spitaleri and F. Pistella, editors, Proceedings of the IMACS/ISGG Workshop MASCOT/02, pages 45-54, Roma, 2003.

  3. G. Manzini. A mixed finite element solver for liquid-solid and liquid-liquid impacts. In S. K. Chakrabarti, C. A. Brebbia, D. Almorza, and R. Gonzalez-Palma, editors, Fluid Structure Interaction II, pages 63-72, Southampton, UK, 2003. WIT Press.

  4. E. Bertolazzi, C. Gallo, and G. Manzini. A finite volume method for transport of contaminants in porous media. In VI Congresso della Società Italiana di Matematica Applicata e Industriale, Proceedings CD ROM. SIMAI, 2002.

  5. E. Bertolazzi and G. Manzini. Contaminant transport in porous media by a finite volume method. In R. M. Spitaleri and F. Pistella, editors, Proceedings of the IMACS/ISGG Workshop MASCOT/01, pages 17-24, Roma, 2002.

  6. E. Bertolazzi and G. Manzini. IMEX-RK finite volume methods for multi-dimensional hyperbolic systems. In VI Congresso della Società Italiana di Matematica Applicata e Industriale, Proceedings CD ROM. SIMAI, 2002.

  7. E. Bertolazzi and G. Manzini. Limiting strategies for polynomial reconstructions in finite volume approximations of the linear advection equation. In R. M. Spitaleri and F. Pistella, editors, Proceedings of the IMACS/ISGG Workshop MASCOT/01, pages 9-16, Roma, 2002.

  8. M. Arioli and G. Manzini. Null space algorithms for solving augmented systems arising in the mixed finite element approximation of saddle point problems. In N. Mastorakis, editor, CSCC 2000-MCME 2000-MCPE 2000 Proceedings, Book 1: Problems in Modern Applied Mathematics, pages 2851-2856. WSES Press, 2000.

  9. F. Brezzi, G. Manzini, D. Marini, P. Pietra, and A. Russo. Discontinuous Galerkin approximations for elliptic problems. In F. Brioschi, Convegno di Studi Matematici, 22/23 ottobre 1997, Incontro N. 16, pages 197-217. Istituto Lombardo - Accademia di Scienze e Lettere, Milano, 1999.

  10. C. Fassino and G. Manzini. Newton and quasi-Newton methods for the non-linear Richards' equation. In International Conference on Computational Methods in Water Resources XII, Crete, Greece, 1998, Southampton - UK, 1998. Computational Mechanics Publications.

  11. S. Ferraris, G. Carrà, C. Gallo, and G. Manzini. Rill erosion on a sandy soil: preliminary field experiment and quasi-3D numerical simulation. In W.Summer et al, editor, IAHS European Conference on "Modeling Soil Erosion Sediment Transp. and Closely Related Hydrological Processes", number 249 in IAHS, pages 45-51, Vienna, 1998.

  12. A. Cominelli, P. Consonni, S. Mantica, and G. Manzini. High-order mixed finite element/TVD finite volume schemes for Black-Oil simulations. In V European Conference of Mathematics in Oil Recovery, 1996.

  13. C. Gallo and G. Manzini. Modeling transport and biodegradation of nitrates using a mixed finite element-finite volume approach. In A. A. Aldama, J. Aparicio, I. Herrera, C. A. Brebbia, W. G. Gray, and G. F. Pinder, editors, International Conference on Computational Methods in Water Resources XI, Cancun, Mexico, 1996, pages 169-176, Southampton, UK, 1996. Computational Mechanics Publications.

  14. L. Bergamaschi, C. Gallo, G. Manzini, C. Paniconi, and M. Putti. A mixed finite element/TVD finite volume scheme for saturated flow and transport in groundwater. In M. M. Cecchi, K. Morgan, J. Periaux, B. A. Schrefler, and O. C. Zienkiewicz, editors, Proc. of the Ninth International Conference on Finite Elements in Fluids: New Trends and Applications, Part II, pages 1223-1232, Venice, Italy, 1995. Dipartimento di Matematica Pura ed Applicata, Università di Padova,.

  15. L. Bergamaschi, S. Mantica, and G. Manzini. A mixed finite element/finite volume approach for reservoir simulation. In M. M. Cecchi, K. Morgan, J. Periaux, B. A. Schrefler, and O. C. Zienkiewicz, editors, Proc. of the Ninth International Conference on Finite Elements in Fluids: New Trends and Applications, Part II, pages 1213-1222, Venice, Italy, 1995. Dipartimento di Matematica Pura ed Applicata, Università di Padova.

  16. G. Manzini and L. Stolcis. A parallel multi-block Navier-Stokes solver on distributed memory machines. In C.A. Brebbia, H. Power, and P.D. Panagiotopoulos, editors, Applications of high performance computing in engineering - IV, pages 187-194, Milan, Italy, 19-21 June 1995. ASE-95, Computational Mechanics Publications.

  17. G. Manzini, C. Vittoli, and P. Wilders. Parallel aspects of a multi-domain implicit time-stepping scheme for 2-D miscible flows in porous media. In C.A. Brebbia, H. Power, and P.D. Panagiotopoulos, editors, Applications of high performance computing in engineering - IV, pages 187-194, Milan, Italy, 19-21 June 1995. ASE-95, Computational Mechanics Publications.

  18. L. Giraud and G. Manzini. Parallel distributed implementations of 2-D explicit Euler solvers. In W. Gentsch et. al., editor, HPCN-94 - International Conference on High Performance Computing And Networking, volume 1: Applications 1994, pages 151-156, Berlin, Germany, 1994. Springer Verlag.

  19. A. Brandenburg, I. Procaccia, D. Segel, G. Manzini, and A. Vincent. Multifractality, near-singularity and the role of stretching in turbulence. In M. C. Proctor, P. C. Matthews, and A. M. Rucklidge, editors, Solar and Planetary Dynamos. ASI Meeting, NATO, Cambridge University Press, 1993. Workshop September 1992.

Technical Reports (unpublished elsewhere)

  1. G. Manzini. The mimetic finite difference method with Lagrange multipliers. Technical Report 1PV08/1/0, IMATI-CNR, 2008.

  2. E. Bertolazzi and G. Manzini. A mixed finite element solver for liquid-solid and liquid-liquid impacts. Technical Report 2003-3-PV, IMATI-CNR, 2003.

  3. G. Manzini. Rapporto Finale del Progetto: "Algoritmi innovativi dell'algebra lineare nella simulazione e ottimizzazione per la compatibilità elettromagnetica industriale e ambientale". Technical Report 2003-26-PV, Agenzia 2000 - IMATI-CNR, 2003.

  4. M. Arioli and G. Manzini. The MI27 package implementation. Technical Report 1313, IAN-CNR, 2002.

  5. E. Bertolazzi and G. Manzini. A finite volume method for transport of contaminants in porous media. Technical Report 1290, IMATI-CNR, 2002.

  6. E. Bertolazzi and G. Manzini. A finite volume scheme for contaminant transport in porous media. Technical Report 1202, IAN-CNR, 2000.

  7. E. Bertolazzi and G. Manzini. High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems. Technical Report 1201, IAN-CNR, 2000.

  8. E. Bertolazzi and G. Manzini. The kernel of P2MESH. Technical Report 1166, IAN-CNR, 1999.

  9. E. Bertolazzi and G. Manzini. P2MESH: Programmer's Manual. Technical Report 1164, IAN-CNR, 1999.

  10. E. Bertolazzi and G. Manzini. P2MESH: Programming finite element and finite volume methods. Technical Report 1165, IAN-CNR, 1999.

  11. E. Bertolazzi and G. Manzini. P2MESH: Short Reference Guide. Technical Report 1167, IAN-CNR, 1999.

  12. E. Bertolazzi and G. Manzini. Template classes for PDE solvers on 2D unstructured meshes. Technical Report 1124, IAN-CNR, 1998.

  13. F. Brezzi, G. Manzini, D. Marini, P. Pietra, and A. Russo. Analisi delle proprietà di elementi finiti di tipo discontinuo. Technical Report 1107, IAN-CNR, 1998. (Progetto MIGALE).

  14. G. Cornetti and G. Manzini. A high-order adjoint discontinuous Galerkin method for scalar conservation laws and systems. Technical Report 1080, IAN-CNR, 1998.

  15. G. Cornetti and G. Manzini. An adjoint discontinuous Galerkin method for conservation laws. Technical Report 1049, IAN-CNR, 1997.

  16. L. Bergamaschi, P. Consonni, G. Fotia, S. Mantica, G. Manzini, A. Quarteroni, and A. Rosella. Finite element and finite volume approximation of miscible flow. Technical Report CRS4-TECH-REP-95/17, CRS4, 1995. Oral presentation at "Colloque sur les Modélisations et Mèthodes Numèriques en Ingègnèrie Pètrolière", Tunis, 20-21 Sep., 1995.

  17. G. Manzini and G. Fotia. Note sulla discretizzazione numerica dei problemi iperbolici non-lineari. Technical Report CRS4-TECH-REP-95/11, CRS4, 1995.

  18. G. Manzini and A. Rosella. The adaptive mesh refinement method applied to 2-D flows in porous media. Technical Report CRS4-APPMATH-94/19, CRS4, 1994. Oral presentation at SIMAI II, Anacapri, 1994 and ECMI 94, Kaiserslautern, 1994.

  19. G. Manzini and L. Stolcis. High-order TVD shock-capturing schemes for unstructured grid solvers. Technical Report CRS4-APPMATH-94/18, CRS4, 1994.

  20. L. Giraud and G. Manzini. A multi-domain Euler solver. Technical Report TR/CFD-PA/93/49, CERFACS, 1993.

Conference Presentation (without proceedings)

  1. G. Cornetti and G. Manzini. Il metodo di Galerkin discontinuo aggiunto per leggi di conservazione in piú dimensioni. Presentato a IperPV98, VI Incontro Nazionale sui Problemi di Tipo Iperbolico, Pavia, 1-3 ottobre 1998.

  2. A. Quarteroni, D. Ambrosi, G. Fotia, G. Manzini, M. Mulas, and L. Stolcis. Recent applications of CFD in aeronautical industrial problems. Basel World CFD USER Days 1994, 2nd World Conference in Applied CFD, 1-5 May 1994.

  3. G. Giraud and G. Manzini. Parallel explicit Euler solver. In Parallel CFD 93, 1993.

  4. F. Rubini and G. Manzini. 2D numerical simulations of stellar jets. In CRAY Conference of the UNAM, Mexico City, Mexique, 1993.

  5. M. Salvati, G. Einaudi, G. Manzini, F. Miniati, and F. Rubini. Sinchrotron radiation in astrophysical bow shocks. In SAIT Workshop, Florence, Italy, 1993.