F. Brezzi, L.D. Marini
Virtual Elements on polyhedra with a curved face, Bulletin of Mathematical Sciences, 13(03), 2023, 2350005 https://doi.org/10.1142/S1664360723500054

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
The virtual element method, Acta Numerica 32, 2023, 123-202 ( https://doi.org/10.1017/S0962492922000095) (paper)

F. Brezzi, L.D. Marini
Finite Elements and Virtual Elements on classical meshes, Vietnam Journal of Mathematics 49(3), 2021, 871-899 ( https://rdcu.be/ctYXx) (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Polynomial preserving virtual elements with curved edges, Math. Models Methods Appl. Sci. 30(8), 2020, 1555-1590 (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems, SMAI-Journal of computational mathematics 4, 2018, 399-416 (doi: 10.5802/smai-jcm.40) (paper)

L. Beirao da Veiga, F. Brezzi, F. Dassi, L.D. Marini, A. Russo
A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics, SIAM J. Numer. Anal. 56(5), 2018, 2940-2962. (paper)

L. Beirao da Veiga, F. Brezzi, F. Dassi, L.D. Marini, A. Russo
Lowest order Virtual Element approximation of magnetostatic problems, Comput. Methods Appl. Mech. Engrg. 332, 2018, 343-362. (paper)

L. Beirao da Veiga, F. Brezzi, F. Dassi, L.D. Marini, A. Russo
Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions, Chin. Ann. Math. Ser. B 39(2), 2018, 315-334. DOI: 10.1007/s11401-018-1066-4 (paper)

L. Beirao da Veiga, F. Brezzi, F. Dassi, L.D. Marini, A. Russo
Virtual Element approximation of 2D magnetostatic problems, Comput. Methods Appl. Mech. Engrg. 327, 2017, 173-195. (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Serendipity Face and Edge VEM Spaces, RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI 28, 2017, 143-180. (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Virtual Element implementation for general elliptic equations, in Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, (G.R. Barrenechea, F. Brezzi, A. Cangiani, E. H. Georgulis Eds.), LNCSE 114, Springer, 2016, 39-71. (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Mixed virtual element methods for general second order elliptic problems on polygonal meshes, ESAIM: M2AN 50(3), 2016, 727-747
( http://dx.doi.org/10.1051/m2an/2015067 ) (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Serendipity Nodal VEM spaces, Computers and Fluids 141, 2016, 2-12 ( http://dx.doi.org/10.1016/j.compfluid.2016.02.015 ) (paper)

C. Chinosi, L.D. Marini
Virtual Element Methods for fourth order problems: L^2 estimates, Comput. Math. Appl. 72(8), 2016, 1959-1967 (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
Virtual Element Methods for general second order elliptic problems on polygonal meshes, Math. Models Methods. Appl. Sci. 26(4), 2016, 729-750
( http://dx.doi.org/10.1142/S0218202516500160) (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
H(div) and H(curl)-conforming VEM, Numer. Math.133(2), 2016, 303-332 (online July 2015) (paper)

F. Brezzi, L.D. Marini
A quick tutorial on DG methods for elliptic problems, in The IMA Volumes in Mathematics and its Applications 157, 2014, 1-24, (2012 John H. Barrett Memorial Lectures, Xiaobing Feng and Ohannes Karakashian eds.) (paper)

F. Brezzi, L.D. Marini
Virtual Element and Discontinuous Galerkin Methods, in The IMA Volumes in Mathematics and its Applications 157, 2014, 209-221, (2012 John H. Barrett Memorial Lectures, Xiaobing Feng and Ohannes Karakashian eds.) (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
The Hitchhiker's Guide to the Virtual Element Method, Math. Models Methods. Appl. Sci. 24(8), 2014, 1541-1573 (online May 2014: http://dx.doi.org/10.1142/S021820251440003X ) (paper)

F. Brezzi, R.S. Falk, L.D. Marini
Basic principles of mixed Virtual Element Methods, ESAIM: Math. Mod. Numer. Anal. 48(4), 2014, 1227-1240, (online 4 Dec. 2013: DOI:http://dx.doi.org10.1051m2an/2013138). (paper)

B. Ayuso de Dios, F. Brezzi, L.D. Marini, J. Shu, L. Zikatanov
A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem, J. Sci. Comput.58(3), 2014, 517-547.

B. Ahmad, A. Alsaedi, F. Brezzi, L.D. Marini A. Russo
Equivalent projectors for Virtual Element Methods, Comput. Math. Appl.66(3), 2013, 376-391, (online 21 June 2013, DOI: 10.1016/j.camwa.2013.05.015). (paper)

F. Brezzi, L.D. Marini
Virtual Element Method for plate bending problems, Comput. Methods Appl. Mech. Engrg. (online: 27 Sept. 2012, DOI:10.1016), 253, 2013, 455-462. (paper)

L. Beirao da Veiga, F. Brezzi, L.D. Marini
Virtual Elements for linear elasticity problems, SIAM J. Numer. Anal. 51(2), 2013, 794-812. (paper)

L. Beirao da Veiga, F. Brezzi, A. Cangiani, G. Manzini, L.D. Marini, A. Russo
Basic principles of Virtual Element Methods, Math. Models Methods. Appl. Sci. 23(1), 2013, 199-214. (paper)

Blanca Ayuso de Dios, F. Brezzi, Oto Havle, L.D. Marini
L2-estimates for the DG IIPG-0 scheme, Numerical Methods for Partial Differential equations, (online: 15 JUN 2011), DOI: 10.1002/num.20687, 28(5), 2012, 1440-1465. (paper)

F. Brezzi, J.A. Evans, T.J.R. Hughes, L.D. Marini
New rectangular plate elements based on twist-Kirchhoff theory , Comput. Methods Appl. Mech. Engrg. 200(33-36), (2011), 2547-2561. (paper)

K.-J. Bathe, F. Brezzi, L.D. Marini
The MITC9 shell element in plate bending: mathematical analysis of a simplified case , Comput. Mech. 47, (2011), 617-626 (online December 2010, DOI 10.1007/s00466-010-0565-2). (paper)

C. Lovadina, L.D. Marini
A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems , J. Sci. Comput.40, (2009), 340-359. (paper)

P.F. Antonietti, F. Brezzi, L.D. Marini
Bubble stabilization of discontinuous Galerkin methods , Comput. Methods Appl. Mech. Engrg. 198, (2009), 1651-1659.(paper)

B. Ayuso, L.D. Marini
Discontinuous Galerkin methods for advection-diffusion-reaction problems, SIAM J. Numer. Anal. 47(2), (2009), 1391-1420.(paper)

P.F. Antonietti, F. Brezzi, L.D. Marini
Stabilizations of the Baumann-Oden DG Formulation: The 3D case, Bolletino dell' Unione Matematica Italiana 1(3), (2008), 629-643.(paper)

L.D. Marini
Discontinuous Galerkin Elements for Reissner-Mindlin plates, in Numerical Mathematics and Advanced Applications, Proc. ENUMATH 2007, Graz, September 2007 (K. Kunisch, G. Of, and O. Steinbach, Eds), Springer, (2008), 27-36.(paper)

D.N. Arnold, F. Brezzi, R.S. Falk, L.D. Marini
Locking-Free Reissner-Mindlin elements without reduced integration, Comput. Methods Appl. Mech. Engrg. 196(37-40), (2007), 3660-3671.(paper)

F. Brezzi, L.D. Marini
Bubble stabilization of discontinuous Galerkin methods, in Advances in numerical mathematics, Proc. International Conference on the occasion of the 60th birthday of Y.A. Kuznetsov, September 16-17, 2005 (W. Fitzgibbon, R. Hoppe, J. Periaux, O. Pironneau, Y. Vassilevski, Eds) Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, (2006), 25-36. (paper)

F. Brezzi, B. Cockburn, L.D. Marini, E. Süli
Stabilization mechanisms in discontinuous Galerkin finite element methods, Comput. Methods Appl. Mech. Engrg. 195(25-28), (2006), 3293-3310. (paper)

F. Brezzi, M. Fortin, L.D. Marini
Error analysis of piecewise constant approximations of Darcy's law, Comput. Methods Appl. Mech. Engrg. 195(13-16), (2006), 1547-1599. (paper)

C. Chinosi, C. Lovadina, L.D. Marini
Nonconforming locking-free finite elements for Reissner-Mindlin plates, Comput. Methods Appl. Mech. Engrg. 195(25-28), (2006), 3448-3460. (paper)

C. Chinosi, C. Lovadina, L.D. Marini
Nonconforming finite elements for Reissner-Mindlin plates, in Applied and Industrial Mathematics in Italy (M. Primicerio, R. Spigler, and V. Valente Eds.), Series on Advances in Mathematics for Applied Sciences 69, (2005), 213-224, World Scientific. (paper)

F. Brezzi, L.D. Marini
The three-field formulation for elasticity problems, GAMM Mitteilungen 28, (2005), 124-153.(paper)

S. Bertoluzza, F. Brezzi, L.D. Marini, G. Sangalli
Nonmatching Grids and Lagrange Multipliers, in "Selected papers of the 15th International Conference on Domain Decomposition Methods, Berlin, 2003" (F. Kornhuber et al. Eds.), Springer Lecture Notes in Computational Science and Engineering 40, (2005), 3-18. (paper)

D.N. Arnold, F. Brezzi, L.D. Marini
A Family of Discontinuous Galerkin Finite Elements for the Reissner-Mindlin plate, Journal of Scientific Computing 22(1), (2005), 25-45. (paper)

F. Brezzi, L.D. Marini, S. Micheletti, P. Pietra, R. Sacco
Stability and error Analysis of Mixed Finite Volume Methods for Advection Dominated problems, Computers & Mathematics with Applications 51, (2006), 681-696. (paper)

F. Brezzi, T.J.R. Hughes, L.D. Marini, A. Masud
Mixed Discontinuous Galerkin methods for Darcy flow, Journal of Scientific Computing 22(1), (2005), 119-145. (paper)

F. Brezzi, M. Fortin, L.D. Marini
Piecewise constant pressure for Darcy law, in Finite Element Methods: 1970's and beyond, (L.P. Franca, T.E. Tezduyar and A. Masud Eds.), CIMNE-Barcelona (2004), 140-153. (paper)

F. Brezzi, L.D. Marini, E. Süli
Discontinuous Galerkin methods for first-order hyperbolic problems, Math. Models Methods Appl. Sci. 14(12), (2004), 1893-1903. (paper)

F. Brezzi, L.D. Marini, A. Russo
On the choice of a stabilizing subgrid for convection-diffusion problems , Comp. Meth. Appl. Mech. Eng. 194(2-5), (2005), 127-148. Special issue: selected papers from 11th MAFELAP Conference (2003), J. Whiteman and L. Demkowicz Eds. (paper)

F. Brezzi, G. Hauke, L.D. Marini, G. Sangalli
Link-Cutting Bubbles for Convection-Diffusion-Reaction Problems , Math. Models Methods Appl. Sci. 3 (13), (2003), 445-461. (paper)

L.D. Marini
A survey of DG methods for elliptic problems, in Numerical Mathematics and Advanced Applications, ENUMATH 2001, (F.Brezzi, A.Buffa, S. Corsaro and A. Murli Eds.), Springer (2003), 805-814. (paper)

F. Brezzi, L.D. Marini, S. Micheletti, P. Pietra, R. Sacco, S. Wang
Discretization of Semiconductor Device Problems (I), in Handbook of Numerical Analysis Vol. XIII (Numerical Methods for Electromagnetics, W.H.A. Schilders, E.J.W. ter Maten, eds), Elsevier Science (2005), 317-434. (paper)

F. Brezzi, D. Marini
Augmented spaces, two-level methods, and stabilising subgrids, Int. J. Numer. Meth. Fluids, 40, (2002), 31-46. (paper)

F. Brezzi, D. Marini
A nonconforming element for the Reissner-Mindlin plate Computers & Structures, 81, (2003), 515-522. (paper)

D.N. Arnold, F. Brezzi, B. Cockburn, D. Marini
Unified analysis of Discontinuous Galerkin Methods for Elliptic Problems, SIAM J. Numer. Anal. 39(5), (2002), 1749-1779. (paper)

F. Brezzi, D. Marini
Subgrid Phenomena and Numerical Schemes, Lecture Notes in Computational Science and Engineering, 19, (I. Babüska, P.G. Ciarlet and T. Miyoshi eds.), (2002), 73-90. (Proc. Intern. Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Yamaguchi, Japan, 28/9-3/10 2000). (paper)

F. Brezzi, D. Marini
Implementation of the stabilized three-field formulation, in Recent trends in Numerical Analysis, (D. Trigiante Ed.), Advances in the Theory of Computational Mathematics, Vol. 3, Nova Science (2000), 59-70. (paper)

F. Brezzi, P. Houston, D. Marini, E. Süli
Modeling subgrid viscosity for advection-diffusion problems, Comp. Meth. Appl. Mech. Eng. 190, (2000), 1601-1610. (paper)

F. Brezzi, M. Manzini, D. Marini, P. Pietra, A. Russo
Discontinuous Galerkin approximations for elliptic problems, Numerical Methods for Partial differential equations, 16, (2000), 365-378. (paper)

D.N. Arnold, F. Brezzi, B. Cockburn, D. Marini
Discontinuous Galerkin Methods for Elliptic Problems, Lecture Notes in Computational Science and Engineering, 11, (B. Cockburn,G.E. Karniadakis and C.-W.Shu Eds.) (2000), 89-101. (paper)

F. Brezzi, D. Marini
Error estimates for the three-field formulation with bubble stabilization, Math. Comp. 70, (2001), 911-934. (http://www.ams.org/mcom/) (paper)

F. Brezzi, D. Marini, E. Süli
Residual-free bubbles for advection-diffusion problems: the general error-analysis, Numer. Math. 85, (2000), 31-47. (The original publication is available on LINK at http://link.springer.de (paper)