B. Ayuso De Dios, K. Lipnikov, G. Manzini.
The non-conforming virtual element method.
Submitted for publication to
ESAIM: Mathematical Modelling and Numerical Analysis (M2AN)
L. Beirão da Veiga, G. Manzini.
A residual a posteriori estimator for a virtual element method.
Accepted for publication to
ESAIM: Mathematical Modelling and Numerical Analysis (M2AN)
L. Beirão da Veiga, G. Manzini.
A Virtual Element Method with arbitrary regularity.
Published online by
IMA Journal on Numerical Analysis
(July 17, 2013).
L. Beirão da Veiga, F. Brezzi, C. Cangiani, G.
Manzini, L. D. Marini, A. Russo.
Basic principles of the Virtual Element Method.Mathematical Models and Methods in
Applied Sciences
23(1): 119--214, 2013
L. Beirão da Veiga, K. Lipnikov, and G. Manzini.
Arbitrary order nodal mimetic discretizations of elliptic
problems on polygonal meshes.
In J. Fort, J. Furst, J. Halama, R. Herbin, and F. Hubert
editors, Finite Volumes for Complex Applications VI, Problems
and Perspectives, volume 1, pages 69-78. Springer, 2011.
K. Lipnikov, G. Manzini, and D. Svyatskiy.
Monotonicity conditions in the mimetic finite difference method.
In J. Fort, J. Furst, J. Halama, R. Herbin, and F. Hubert
editors, Finite Volumes for Complex Applications VI, Problems
and Perspectives, volume 1, pages 653-662. Springer, 2011.
Y. Coudière, F. Hubert, and G. Manzini.
A CeVeFE DDFV scheme for discontinuous anisotropic permeability tensors.
In J. Fort, J. Furst, J. Halama, R. Herbin, and F. Hubert
editors, Finite Volumes for Complex Applications VI, Problems
and Perspectives, volume 1, pages 283-282. Springer, 2011.
R. Eymard, G. Henri, R. Herbin, R. Klofkorn, and G. Manzini.
3D Benchmark on discretizations schemes for anisotropic diffusion
problems on general grids.
In J. Fort, J. Furst, J. Halama, R. Herbin, and F. Hubert
editors, Finite Volumes for Complex Applications VI, Problems
and Perspectives, volume 2, pages 95-130. Springer, 2011.
Y. Coudière, F. Hubert, and G. Manzini.
Benchmark 3D: CeVeFE-DDFV scheme, a discrete duality scheme with
cell/vertex/face+edge unknowns.
In J. Fort, J. Furst, J. Halama, R. Herbin, and F. Hubert
editors, Finite Volumes for Complex Applications VI, Problems
and Perspectives, volume 2, pages 177-184. Springer, 2011.
Y. Coudière and G. Manzini.
Benchmark 3D: The cell centered finite volume method using least
squares vertex reconstructions ("Diamond scheme")
In J. Fort, J. Furst, J. Halama, R. Herbin, and F. Hubert
editors, Finite Volumes for Complex Applications VI, Problems
and Perspectives, volume 2, pages 185-192. Springer, 2011.
K. Lipnikov and G. Manzini
Benchmark 3D: Mimetic finite difference method for generalized polyhedral meshes.
In J. Fort, J. Furst, J. Halama, R. Herbin, and F. Hubert
editors, Finite Volumes for Complex Applications VI, Problems
and Perspectives, volume 2, pages 235-242. Springer, 2011.
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.
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.
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.
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
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.
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
L. Beirão da Veiga and G. Manzini.
A mimetic finite difference method with arbitrary regularity
In ECCOMAS 2012, 9-14 June, Austria (Vienna)
L. Beirão da Veiga and G. Manzini.
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes with arbitrary regular solution
In 10th World Congress of Computational Mechanics, 7-13 July 2012, Saõ Paulo (Brazil)
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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,.
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.
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.
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.
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.
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)
A. Cangiani, G. Manzini, A. Russo. A Finite Element re-formulation of the nodal Mimetic Finite Difference method for elliptic problems on polygonal and polyhedral meshes,
Technical Report 34PV10/32/0, IMATI-CNR, 2010.
G. Manzini. The mimetic finite difference method with Lagrange multipliers. Technical Report 1PV08/1/0, IMATI-CNR, 2008.
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.
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.
M. Arioli and G. Manzini. The MI27 package implementation. Technical Report 1313, IAN-CNR, 2002.
E. Bertolazzi and G. Manzini. A finite volume method for transport of contaminants in porous media. Technical Report 1290, IMATI-CNR, 2002.
E. Bertolazzi and G. Manzini. A finite volume scheme for contaminant transport in porous media. Technical Report 1202, IAN-CNR, 2000.
E. Bertolazzi and G. Manzini. High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems. Technical Report 1201, IAN-CNR, 2000.
E. Bertolazzi and G. Manzini. The kernel of P2MESH. Technical Report 1166, IAN-CNR, 1999.
E. Bertolazzi and G. Manzini. P2MESH: Programmer's Manual. Technical Report 1164, IAN-CNR, 1999.
E. Bertolazzi and G. Manzini. P2MESH: Programming finite element and finite volume methods. Technical Report 1165, IAN-CNR, 1999.
E. Bertolazzi and G. Manzini. P2MESH: Short Reference Guide. Technical Report 1167, IAN-CNR, 1999.
E. Bertolazzi and G. Manzini. Template classes for PDE solvers on 2D unstructured meshes. Technical Report 1124, IAN-CNR, 1998.
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).
G. Cornetti and G. Manzini. A high-order adjoint discontinuous Galerkin method for scalar conservation laws and systems. Technical Report 1080, IAN-CNR, 1998.
G. Cornetti and G. Manzini. An adjoint discontinuous Galerkin method for conservation laws. Technical Report 1049, IAN-CNR, 1997.
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.
G. Manzini and G. Fotia. Note sulla discretizzazione numerica dei problemi iperbolici non-lineari. Technical Report CRS4-TECH-REP-95/11, CRS4, 1995.
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.
G. Manzini and L. Stolcis. High-order TVD shock-capturing schemes for unstructured grid solvers. Technical Report CRS4-APPMATH-94/18, CRS4, 1994.
L. Giraud and G. Manzini. A multi-domain Euler solver. Technical Report TR/CFD-PA/93/49, CERFACS, 1993.
Doctoral Dissertation
G. Manzini, Application de schémas numériques de capture de choc
à haute resolution à des probémes d'Astrophysique
et de Géophysique. Ph. D. thesis, Université "P. Sabatier",
Toulouse 3, Toulose, France, 1994.