Franco Brezzi

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All published works

Action	Title	Year	Authors
+	Active particle methods towards a mathematics of living systems	2024	Nicola Bellomo Franco Brezzi
+	Virtual Elements on polyhedra with a curved face	2023	Franco Brezzi L. D. Marini
+	Editorial: Active particle models and methods in science and society	2023	Nicola Bellomo Franco Brezzi
+	Virtual Elements on polyhedra with a curved face	2023	Franco Brezzi L. D. Marini
+	New trends of mathematical sciences towards modeling virus pandemics in a globally connected world	2022	Nicola Bellomo Franco Brezzi Mark A. J. Chaplain
+ PDF Chat	Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	2021	Nicola Bellomo Franco Brezzi Mark A. J. Chaplain
+	Collective dynamics in science and society	2021	Nicola Bellomo Franco Brezzi
+	Recent results and challenges in behavioral systems	2020	Nicola Bellomo Franco Brezzi Juan Soler
+	Active particles methods and challenges in behavioral systems	2020	Nicola Bellomo Franco Brezzi Juan Soler
+	Towards a multiscale vision of active particles	2019	Nicola Bellomo Franco Brezzi
+	Virtual Elements and curved edges	2019	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	Challenges in active particles methods: Theory and applications	2018	Nicola Bellomo Franco Brezzi
+	Lowest order Virtual Element approximation of magnetostatic problems	2018	L. Beirão da Veiga Franco Brezzi Franco Dassi L. D. Marini A. Russo
+	A family of three-dimensional virtual elements with applications to magnetostatic	2018	L. Beirão da Veiga Franco Brezzi Franco Dassi L. D. Marini A. Russo
+	Mathematical models of self-propelled particles	2017	Nicola Bellomo Franco Brezzi
+ PDF Chat	Serendipity face and edge VEM spaces	2017	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	Serendipity Virtual Elements on Polyhedral Meshes	2017	L. Beirão da Veiga Franco Brezzi Franco Dassi L. D. Marini A. Russo
+	Modeling behavioral social systems	2016	Nicola Bellomo Franco Brezzi Mario Pulvirenti
+ PDF Chat	Serendipity Nodal VEM spaces	2016	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	Serendipity Face and Edge VEM Spaces	2016	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations	2016	Gabriel R. Barrenechea Franco Brezzi Andrea Cangiani Emmanuil H. Georgoulis
+ PDF Chat	Mixed virtual element methods for general second order elliptic problems on polygonal meshes	2015	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	Mathematics, complexity and multiscale features of large systems of self-propelled particles	2015	Nicola Bellomo Franco Brezzi
+	Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes	2015	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	Serendipity Nodal VEM spaces	2015	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	Solid Findings: Students’ Over-reliance on Linearity	2015	Lieven Verschaffel Franco Brezzi Qendrim Gashi Ghislaine Gueudet Bernard R. Hodgson Celia Hoyles Boris Koichu Konrad Krainer Maria Alessandra Mariotti Mogens Niss
+	H(div) and H(curl)-conforming VEM	2014	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo
+	COMPLEX SYSTEMS: NEW CHALLENGES WITH MODELING HEADACHES	2013	Nicola Bellomo Franco Brezzi
+ PDF Chat	A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem	2013	Blanca Ayuso de Dios Franco Brezzi L. D. Marini Jinchao Xu Ludmil Zikatanov
+	Mixed Methods for Elliptic Problems	2013	Daniele Boffi Franco Brezzi Michel Fortin
+	Mixed Finite Element Methods and Applications	2013	Daniele Boffi Franco Brezzi Michel Fortin
+	Complements: Stabilisation Methods, Eigenvalue Problems	2013	Daniele Boffi Franco Brezzi Michel Fortin
+	Algebraic Aspects of Saddle Point Problems	2013	Daniele Boffi Franco Brezzi Michel Fortin
+	Analysis and Numerics of Partial Differential Equations	2012	Franco Brezzi Piero Colli Franzone Ugo Gianazza Gianni Gilardi
+	Personal Memories	2012	Franco Brezzi
+	A simple preconditioner for a discontinuous Galerkin method for the Stokes problem	2012	Blanca Ayuso de Dios Franco Brezzi L. D. Marini Jinchao Xu Ludmil Zikatanov
+	MATHEMATICS AND COMPLEXITY OF MULTI-PARTICLE SYSTEMS	2011	Nicola Bellomo Franco Brezzi
+	Mixed and Hybrid Finite Element Methods	2011	Franco Brezzi Michel Fortin
+ PDF Chat	Mimetic finite differences for elliptic problems	2008	Franco Brezzi Annalisa Buffa Konstantin Lipnikov
+	Mimetic Finite Difference Methods forConvection-Dominated Problems	2007	Andrea Cangiani Franco Brezzi Marco Manzini
+	A new discretization methodology for diffusion problems on generalized polyhedral meshes	2007	Franco Brezzi Konstantin Lipnikov Mikhail Shashkov Valeria Simoncini
+	CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES	2006	Franco Brezzi Konstantin Lipnikov Mikhail Shashkov
+	A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES	2005	Franco Brezzi Konstantin Lipnikov Valeria Simoncini
+ PDF Chat	Stabilization mechanisms in discontinuous Galerkin finite element methods	2005	Franco Brezzi Bernardo Cockburn L. D. Marini Endre Süli
+	Mixed Discontinuous Galerkin Methods for Darcy Flow	2005	Franco Brezzi Thomas J.R. Hughes L. D. Marini Arif Masud
+ PDF Chat	Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes	2005	Franco Brezzi Konstantin Lipnikov Mikhail Shashkov
+ PDF Chat	DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS	2004	Franco Brezzi L. D. Marini Endre Süli
+	The Chimera method for a model problem	2003	Franco Brezzi J. L. Lions Olivier Pironneau
+	Stability of Saddle-Points in Finite Dimensions	2003	Franco Brezzi
+ PDF Chat	Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems	2002	Douglas N. Arnold Franco Brezzi Bernardo Cockburn L. D. Marini
+	Inf-sup testing of upwind methods	2000	Klaus-J�rgen Bathe Dena Hendriana Franco Brezzi Giancarlo Sangalli
+ PDF Chat	On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form	1999	Daniele Boffi Franco Brezzi Lucia Gastaldi
+	A new scheme for quasiconvex optimization in multiple-well problems	1998	Michel Chipot L'Ecuyer H. G. Bock Guido Kanschat Rolf Rannacher Franco Brezzi Roland Glowinski Yuri A. Kuznetsov J. Périaux
+ PDF Chat	The partial selective reduced integration method and applications to shell problems	1997	Douglas N. Arnold Franco Brezzi
+	A monotonic scheme for advection-diffusion problems	1996	Franco Brezzi L. D. Marini Paola Pietra A. Russo
+	A preconditioner for domain decomposition methods for advection-dominated problems	1996	Franco Brezzi Giovanna Gazzaniga L. D. Marini
+	Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension	1995	Franco Brezzi Ingenuin Gasser Peter A. Markowich Christian Schmeiser
+	MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES	1993	Franco Brezzi Michel Fortin L. D. Marini
+	The three‐dimensional wigner‐poisson problem: Existence, uniqueness and approximation	1991	Franco Brezzi Peter A. Markowich
+	A Singular Perturbation Analysis of Reverse-Biased Semiconductor Diodes	1989	Franco Brezzi A.C. Capelo Lucia Gastaldi
+ PDF Chat	Masthead	1987	George F. Pinder John Whiteman Lsmael Herrera Ivo Babuška Jacobo Bielak Joseph Botha Franco Brezzi R Ciarlet
+	How to get around a simple quadratic fold	1986	Franco Brezzi Maurizio Cornalba Antonio Di Carlo
+	Singular perturbation problems in semiconductor devices	1986	Franco Brezzi A.C. Capelo L. D. Marini
+ PDF Chat	Recent results in the approximation of free boundaries	1986	Franco Brezzi
+	Error Estimates in the Approximation of a Free Boundary	1985	Franco Brezzi
+	Numerical methods in fluid dynamics : lectures given at the 3rd 1983 session of the Centro internazionale matematico estivo (C.I.M.E.) held at Como, Italy, July 7-15, 1983	1985	Franco Brezzi Centro internazionale matematico estivo. Session
+	On the rotating beam: Some theoretical and numerical results	1984	Franco Brezzi J. Descloux Jacques Rappaz Bruno Zwahlen
+	“Real” and “Ghost” Bifurcation Dynamics in Difference Schemes for ODEs	1984	Franco Brezzi Shigehiro Ushiki Hiroshi Fujii
+	Optimal error estimates for linear parabolic problems under minimal regularity assumptions	1983	C. Baiocchi Franco Brezzi
+	Finite Dimensional Approximation of Non-Linear Problems .3. Simple Bifurcation Points	1981	Franco Brezzi Jacques Rappaz Pierre-Arnaud Raviart
+	Hybrid methods for fourth order elliptic equations	1977	Franco Brezzi
+	Hybrid and Mixed Methods for Plate Bending Problems	1976	Franco Brezzi
+	Sul problema di Dirichlet nel semispazio	1970	Franco Brezzi

Common Coauthors

Coauthor	Papers Together
L. D. Marini	23
Nicola Bellomo	14
A. Russo	12
L. Beirão da Veiga	11
Michel Fortin	6
Daniele Boffi	5
Konstantin Lipnikov	5
Franco Dassi	3
Mikhail Shashkov	3
Blanca Ayuso de Dios	2
Andrea Cangiani	2
Peter A. Markowich	2
A.C. Capelo	2
Ludmil Zikatanov	2
Juan Soler	2
Lucia Gastaldi	2
Jacques Rappaz	2
Bernardo Cockburn	2
Mark A. J. Chaplain	2
Endre Süli	2
Jinchao Xu	2
Douglas N. Arnold	2
Valeria Simoncini	2
Boris Koichu	1
Gianni Gilardi	1
J. Périaux	1
Ingenuin Gasser	1
Maurizio Cornalba	1
Paola Pietra	1
Roland Glowinski	1
Arif Masud	1
Celia Hoyles	1
Giancarlo Sangalli	1
Olivier Pironneau	1
Bruno Zwahlen	1
Alexei Sossinsky	1
Michel Chipot	1
Ugo Gianazza	1
H. G. Bock	1
Ivo Babuška	1
Günter Törner	1
Guido Kanschat	1
Antonio Di Carlo	1
Annalisa Buffa	1
Mogens Niss	1
R Ciarlet	1
Mario Pulvirenti	1
Maria Alessandra Mariotti	1
Lsmael Herrera	1
Emmanuil H. Georgoulis	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems	2002	Douglas N. Arnold Franco Brezzi Bernardo Cockburn L. D. Marini	9
+	Mixed and Hybrid Finite Element Methods	2011	Franco Brezzi Michel Fortin	8
+	A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES	2005	Franco Brezzi Konstantin Lipnikov Valeria Simoncini	7
+ PDF Chat	Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models	2017	David Poyato Juan Soler	6
+ PDF Chat	Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes	2005	Franco Brezzi Konstantin Lipnikov Mikhail Shashkov	5
+ PDF Chat	Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study	2008	Michele Ballerini N. Cabibbo Raphaël Candelier Andrea Cavagna E. Cisbani Irene Giardina Vivien Lecomte Alberto Orlandi Giorgio Parisi Andrea Procaccini	5
+	CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES	2006	Franco Brezzi Konstantin Lipnikov Mikhail Shashkov	5
+ PDF Chat	Global estimates for mixed methods for second order elliptic equations	1985	Jim Douglas Jean E. Roberts	5
+	A kinetic theory approach for modelling tumour and macrophages heterogeneity and plasticity during cancer progression	2020	Raluca Eftimie Livio Gibelli	4
+ PDF Chat	A new flocking model through body attitude coordination	2017	Pierre Degond Amic Frouvelle Sara Merino-Aceituno	4
+	The mimetic finite difference method on polygonal meshes for diffusion-type problems	2004	Yu. I. Kuznetsov Konstantin Lipnikov Mikhail Shashkov	4
+	A Tensor Artificial Viscosity Using a Mimetic Finite Difference Algorithm	2001	J. Campbell Mikhail Shashkov	4
+ PDF Chat	A consensus-based model for global optimization and its mean-field limit	2016	René Pinnau Claudia Totzeck Oliver Tse S. Martin	4
+ PDF Chat	Reduced fluid models for self-propelled particles interacting through alignment	2017	Mihaï Bostan José A. Carrillo	4
+	ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES	2013	Nicola Bellomo Damián Knopoff Juan Soler	4
+ PDF Chat	On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes	2014	Arun L. Gain Cameron Talischi Gláucio H. Paulino	4
+	On the interplay between behavioral dynamics and social interactions in human crowds	2018	Nicola Bellomo Livio Gibelli Nisrine Outada	4
+ PDF Chat	Centroidal Voronoi Tessellations: Applications and Algorithms	1999	Qiang Du Vance Faber Max Gunzburger	4
+	What is life? A perspective of the mathematical kinetic theory of active particles	2021	Nicola Bellomo Diletta Burini Giovanni Dosi Livio Gibelli Damián Knopoff Nisrine Outada Pietro Terna Maria Enrica Virgillito	4
+ PDF Chat	Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment	2020	Daewa Kim Annalisa Quaini	4
+	A new discretization methodology for diffusion problems on generalized polyhedral meshes	2007	Franco Brezzi Konstantin Lipnikov Mikhail Shashkov Valeria Simoncini	3
+	Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods	2008	Jim Douglas Todd Dupont	3
+	A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world	2020	Nicola Bellomo Richard J. Bingham Mark A. J. Chaplain Giovanni Dosi Guido Forni Damián Knopoff John Lowengrub Reidun Twarock Maria Enrica Virgillito	3
+	Mimetic discretizations for Maxwell equations and the equations of magnetic diffusion	1998	James M. Hyman Mikhail Shashkov	3
+ PDF Chat	Solutions to aggregation–diffusion equations with nonlinear mobility constructed via a deterministic particle approximation	2018	Simone Fagioli Emanuela Radici	3
+ PDF Chat	Pressureless Euler alignment system with control	2018	Giacomo Albi Young-Pil Choi Axel-Stefan Häck	3
+	Rational bases for convex polyhedra	2009	Eugene L. Wachspress	3
+	Discontinuous Galerkin methods	2003	Bernardo Cockburn	3
+ PDF Chat	A virtual element method with arbitrary regularity	2013	L. Beirão da Veiga Gianmarco Manzini	3
+ PDF Chat	A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes	2016	Paola F. Antonietti L. Beirão da Veiga Simone Scacchi Marco Verani	3
+ PDF Chat	Serendipity Nodal VEM spaces	2016	L. Beirão da Veiga Franco Brezzi L. D. Marini A. Russo	3
+	Challenges in active particles methods: Theory and applications	2018	Nicola Bellomo Franco Brezzi	3
+	Hilbert method toward a multiscale analysis from kinetic to macroscopic models for active particles	2017	Diletta Burini Nadia Chouhad	3
+ PDF Chat	A hybrid high-order locking-free method for linear elasticity on general meshes	2014	Daniele A. Di Pietro Alexandre Ern	3
+	Mean-field sparse Jurdjevic–Quinn control	2017	Marco Caponigro Benedetto Piccoli Francesco Rossi Emmanuel Trélat	3
+	Modeling behavioral social systems	2016	Nicola Bellomo Franco Brezzi Mario Pulvirenti	3
+ PDF Chat	Méthode des éléments finis hybrides duaux pour les problèmes elliptiques du second ordre	1976	J. M. Thomas	3
+ PDF Chat	Human behavior and lognormal distribution. A kinetic description	2019	Stefano Gualandi Giuseppe Toscani	3
+	Some Extensions of the Local Discontinuous Galerkin Method for Convection-Diffusion Equations in Multidimensions	2000	Bernardo Cockburn Clint Dawson	3
+	Mathematics, complexity and multiscale features of large systems of self-propelled particles	2015	Nicola Bellomo Franco Brezzi	3
+	Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes	2004	Konstantin Lipnikov Jim E. Morel Mikhail Shashkov	3
+ PDF Chat	The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems	1998	Bernardo Cockburn Chi‐Wang Shu	3
+ PDF Chat	A kinetic theory description of liquid menisci at the microscale	2015	Livio Gibelli Aldo Frezzotti Paolo Barbante	3
+ PDF Chat	On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation	2017	Christian Engwer Christian Stinner Christina Surulescu	3
+	From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid	2016	Nicola Bellomo Abdelghani Bellouquid Nadia Chouhad	3
+ PDF Chat	GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS	2013	Jérôme Droniou Robert Eymard Thierry Gallouët Raphaèle Herbin	3
+ PDF Chat	A projection-based error analysis of HDG methods	2010	Bernardo Cockburn Jay Gopalakrishnan Francisco-Javier Sayas	3
+	Cooperation, competition, organization: The dynamics of interacting living populations	2015	Miguel A. Herrero Juan Soler	3
+ PDF Chat	Blow-up and global existence for a kinetic equation of swarm formation	2017	Mirosław Lachowicz Henryk Leszczyński Martin Parisot	3
+ PDF Chat	Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds	2015	Nicola Bellomo Livio Gibelli	3