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List of works by Franco Brezzi

$$H({\text {div}})$$ H ( div ) and $$H(\mathbf{curl})$$ H ( curl ) -conforming virtual element methods

A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate

A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems

A Quick Tutorial on DG Methods for Elliptic Problems

A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem

A Singular Perturbation Analysis of Reverse-Biased Semiconductor Diodes

article

A discourse on the stability conditions for mixed finite element formulations

article published in 1990

A finite element approximation of a variational inequality related to hydraulics

article published in 1976

A minimal stabilisation procedure for mixed finite element methods

A monotonic scheme for advection-diffusion problems

A new discretization methodology for diffusion problems on generalized polyhedral meshes

A nonconforming element for the Reissner–Mindlin plate

A novel field-based mixed formulation of magnetostatics

A preconditioner for domain decomposition methods for advection-dominated problems

A relationship between stabilized finite element methods and the Galerkin method with bubble functions

A self-adaptive formulation for the Euler/Navier-Stokes coupling

A stable finite element for the stokes equations

article published in 1984

A survey on mixed finite element approximations

An “immersed” finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem

Analysis of a Chimera method

Analysis of a Mixed Finite Element Method for Elasto-Plastic Plates

scholarly article by Franco Brezzi et al published October 1977 in Mathematics of Computation

Analytical modelling of a large-scale dynamic testing facility

Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems

Augmented spaces, two-level methods, and stabilizing subgrids

scholarly article by Franco Brezzi & L. D. Marini published 2002 in International Journal for Numerical Methods in Fluids

BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

Basic principles of mixed Virtual Element Methods

article published in 2014

Bubble stabilization of discontinuous Galerkin methods

CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS

article

COMPLEX SYSTEMS: NEW CHALLENGES WITH MODELING HEADACHES

scholarly article by N. BELLOMO & F. BREZZI published February 2014 in Mathematical Models and Methods in Applied Sciences

CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES

article published in 2006

Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS

article

Discontinuous Galerkin approximations for elliptic problems

scholarly article by F. Brezzi et al published 2000 in Numerical Methods for Partial Differential Equations

Discretization of Semiconductor Device Problems (I)

Displacement and stress convergence of our MITC plate bending elements

ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES

article

Equivalent projectors for virtual element methods

Error analysis of piecewise constant pressure approximations of Darcy’s law

Error estimates for the finite element solution of variational inequalities

scholarly article by Franco Brezzi et al published March 1978 in Numerische Mathematik

Error estimates for the finite element solution of variational inequalities

article

Error estimates for the three-field formulation with bubble stabilization

article

Finite Elements for the Stokes Problem

Finite dimensional approximation of nonlinear problems

scholarly article by Franco Brezzi et al published February 1982 in Numerische Mathematik

Finite dimensional approximation of nonlinear problems

scholarly article by Franco Brezzi et al published March 1980 in Numerische Mathematik

Finite dimensional approximation of nonlinear problems

scholarly article by Franco Brezzi et al published February 1981 in Numerische Mathematik

Further considerations on residual-free bubbles for advective-diffusive equations

article

How to get around a simple quadratic fold

scholarly article by Franco Brezzi et al published July 1986 in Numerische Mathematik

Innovative mimetic discretizations for electromagnetic problems

L2-estimates for the DG IIPG-0 scheme

article

LINK-CUTTING BUBBLES FOR THE STABILIZATION OF CONVECTION-DIFFUSION-REACTION PROBLEMS

Locking-free Reissner–Mindlin elements without reduced integration

Locking-free finite element methods for shells

MATHEMATICS AND COMPLEXITY IN BIOLOGICAL SCIENCES

MATHEMATICS AND COMPLEXITY IN LIFE AND HUMAN SCIENCES

MATHEMATICS AND COMPLEXITY IN LIFE AND HUMAN SCIENCES

article

MATHEMATICS AND COMPLEXITY OF MULTI-PARTICLE SYSTEMS

MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES

Mathematics, complexity and multiscale features of large systems of self-propelled particles

Metodi misti di exponential fitting per le equazioni di continuita' della corrente

Mimetic finite differences for elliptic problems

article

Mimetic scalar products of discrete differential forms

Mixed Discontinuous Galerkin Methods for Darcy Flow

article published in 2005

Mixed Finite Element Methods and Applications

Mixed Finite Elements, Compatibility Conditions, and Applications

Mixed finite elements for second order elliptic problems in three variables

scholarly article by Franco Brezzi et al published March 1987 in Numerische Mathematik

Mixed virtual element methods for general second order elliptic problems on polygonal meshes

Mixed-interpolated elements for Reissner-Mindlin plates

scholarly article by Franco Brezzi et al published August 1989 in International Journal for Numerical Methods in Engineering

Modeling subgrid viscosity for advection–diffusion problems

Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems

scientific article published on 30 September 2021

New rectangular plate elements based on twist-Kirchhoff theory

Numerical Approximation of Mindlin-Reissner Plates

scholarly article by Franco Brezzi & M. Fortin published July 1986 in Mathematics of Computation

Numerical simulation of semiconductor devices

article published in 1989

On an equilibrium finite element method for plate bending problems

On drilling degrees of freedom

On the choice of a stabilizing subgrid for convection–diffusion problems

On the coupling of boundary integral and finite element methods

On the rotating beam: Some theoretical and numerical results

Optimal error estimates for linear parabolic problems under minimal regularity assumptions

article

PEERS: A new mixed finite element for plane elasticity

Recent results in the treatment of subgrid scales

Recent techniques for PDE discretizations on polyhedral meshes

Reduced symmetry elements in linear elasticity

Remarks on ellipticity and regularity for non-inhibited shells and other constrained systems

article by Franco Brezzi et al published May 1998 in Comptes Rendus Mathematique

Residual-free bubbles for advection-diffusion problems: the general error analysis

Serendipity Nodal VEM spaces

Stability and error analysis of mixed finite-volume methods for advection dominated problems

Stability of Higher-Order Hood–Taylor Methods

Stabilization mechanisms in discontinuous Galerkin finite element methods

Stabilized mixed methods for the Stokes problem

scholarly article by Franco Brezzi & Jim Douglas published January 1988 in Numerische Mathematik

Sul metodo a cinque punti per il laplaciano

Sul problema di Dirichlet nel semispazio

Sur la methode des elements finis hybrides pour le probleme biharmonique

TRAFFIC, CROWDS, AND SWARMS

article published in 2008

The Hitchhiker's Guide to the Virtual Element Method

The MITC7 and MITC9 Plate bending elements

The MITC9 shell element in plate bending: mathematical analysis of a simplified case

The method of mothers for non-overlapping non-matching DDM

The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes

The partial selective reduced integration method and applications to shell problems

The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation

The three-field formulation for elasticity problems

Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension

article

Traffic, crowds, and dynamics of self-organized particles: New trends and challenges

article

Two families of mixed finite elements for second order elliptic problems

scholarly article by Franco Brezzi et al published June 1985 in Numerische Mathematik

Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

article

Virtual Element Method for general second-order elliptic problems on polygonal meshes

Virtual Element Methods for plate bending problems

Virtual Element and Discontinuous Galerkin Methods

Virtual Elements for Linear Elasticity Problems

Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)

article by Claudio Baiocchi et al published May 1993 in Computer Methods in Applied Mechanics and Engineering