Franco Brezzi
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Italian mathematician
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Franco Brezzimathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Franco Brezzi's Degrees
- PhD Mathematics University of Pavia
Why Is Franco Brezzi Influential?
(Suggest an Edit or Addition)According to Wikipedia, Franco Brezzi is an Italian mathematician. Education Brezzi graduated in 1967 at the Università di Pavia under the supervision of Enrico Magenes. He was full professor of Mathematical Analysis at the Politecnico di Torino from 1976 to 1977 and then from 1977 to 2006 at the Università di Pavia. He was a professor of Numerical Analysis at the Istituto Universitario di Studi Superiori in Pavia from 2006 until his retirement in 2015. Presently he is Emeritus Professor at IUSS and Associate Researcher at IUSS of Italian CNR
Franco Brezzi's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Mixed and Hybrid Finite Element Methods (2011) (4486)
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (2001) (3263)
- Uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers (1974) (2463)
- Mixed Finite Element Methods and Applications (2013) (1487)
- Two families of mixed finite elements for second order elliptic problems (1985) (1182)
- A stable finite element for the stokes equations (1984) (1145)
- Basic principles of Virtual Element Methods (2013) (990)
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates (1985) (893)
- The Hitchhiker's Guide to the Virtual Element Method (2014) (490)
- Virtual Elements for Linear Elasticity Problems (2013) (425)
- Equivalent projectors for virtual element methods (2013) (414)
- Mixed finite elements for second order elliptic problems in three variables (1987) (397)
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES (2005) (389)
- Discontinuous Galerkin approximations for elliptic problems (2000) (385)
- A relationship between stabilized finite element methods and the Galerkin method with bubble functions (1992) (377)
- On the coupling of boundary integral and finite element methods (1979) (375)
- PEERS: A new mixed finite element for plane elasticity (1984) (371)
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes (2005) (368)
- On the Stabilization of Finite Element Approximations of the Stokes Equations (1984) (350)
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS (1994) (348)
- Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes (2014) (347)
- Finite Dimensional Approximation of Non-Linear Problems .1. Branches of Nonsingular Solutions (1980) (326)
- E cient rectangular mixed fi-nite elements in two and three space variables (1987) (319)
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.) (1993) (311)
- Discontinuous Galerkin Methods for Elliptic Problems (2000) (281)
- Virtual Element Methods for plate bending problems (2013) (277)
- Finite dimensional approximation of nonlinear problems (1981) (272)
- Mixed-interpolated elements for Reissner–Mindlin plates (1989) (271)
- Stabilized mixed methods for the Stokes problem (1988) (270)
- On drilling degrees of freedom (1989) (260)
- Basic principles of mixed Virtual Element Methods (2014) (242)
- ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES (1991) (242)
- A discourse on the stability conditions for mixed finite element formulations (1990) (224)
- Mathematical models and finite elements for reservoir simulation : single phase, multiphase and multicomponent flows through porous media (1988) (218)
- Mixed Finite Elements, Compatibility Conditions, and Applications (2008) (214)
- DISCONTINUOUS GALERKIN METHODS FOR FIRST-ORDER HYPERBOLIC PROBLEMS (2004) (198)
- Error estimates for the finite element solution of variational inequalities (1977) (194)
- Mimetic finite differences for elliptic problems (2009) (192)
- Stability of higher-order Hood-Taylor methods (1991) (186)
- Error estimates for the finite element solution of variational inequalities (1978) (186)
- Two-dimensional exponential fitting and applications to drift-diffusion models (1989) (178)
- Finite dimensional approximation of nonlinear problems (1981) (177)
- On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form (2000) (170)
- Stabilization mechanisms in discontinuous Galerkin finite element methods (2006) (158)
- The three-dimensional Wigner-Poisson problem: existence, uniqueness and approximation (1991) (153)
- Numerical approximation of Mindlin-Reissner plates (1986) (149)
- Further considerations on residual-free bubbles for advective - diffusive equations (1998) (148)
- A new discretization methodology for diffusion problems on generalized polyhedral meshes (2007) (147)
- Reduced symmetry elements in linear elasticity (2008) (143)
- Numerical Mathematics and Advanced Applications (2003) (135)
- Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems (1998) (123)
- The MITC7 and MITC9 Plate bending elements (1989) (117)
- On the convergence of a four - node plate bending element based on Mindlin - Reissner plate theory a (1985) (114)
- Mixed Discontinuous Galerkin Methods for Darcy Flow (2005) (108)
- CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES (2006) (108)
- A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems (1999) (106)
- Numerical simulation of semiconductor devices (1989) (106)
- On the convergence of eigenvalues for mixed formulations (1997) (105)
- H(div) and H(curl)-conforming virtual element methods (2015) (102)
- Residual-free bubbles for advection-diffusion problems: the general error analysis (2000) (95)
- A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate (2005) (94)
- Finite Elements for the Stokes Problem (2008) (89)
- Locking-free finite element methods for shells (1997) (87)
- Mixed Finite Element Methods (2004) (85)
- A minimal stabilisation procedure for mixed finite element methods (2000) (84)
- Serendipity Nodal VEM spaces (2015) (80)
- Finite Dimensional Approximation of Non-Linear Problems .3. Simple Bifurcation Points (1981) (73)
- LINK-CUTTING BUBBLES FOR THE STABILIZATION OF CONVECTION-DIFFUSION-REACTION PROBLEMS (2003) (65)
- Locking-free Reissner-Mindlin elements without reduced integration (2007) (64)
- MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES (1993) (64)
- Analysis of a Chimera method (2001) (62)
- The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes (2011) (62)
- A Simplified Analysis of Two Plate Bending Elements — the MITC4 and MITC9 Elements (1987) (61)
- $$H({\text {div}})$$H(div) and $$H(\mathbf{curl})$$H(curl)-conforming virtual element methods (2016) (60)
- Discretization of Semiconductor Device Problems (I) (2005) (60)
- H(div) and H(curl)-conforming VEM (2014) (59)
- Some New Elements for the Reissner{Mindlin Plate Model (1993) (57)
- On the choice of a stabilizing subgrid for convection?diffusion problems (2005) (53)
- On evaluating the inf–sup condition for plate bending elements (1997) (53)
- Displacement and stress convergence of our MITC plate bending elements (1990) (52)
- Stabilization Techniques and Subgrid Scales Capturing (1996) (50)
- A nonconforming element for the Reissner–Mindlin plate (2003) (48)
- Modeling subgrid viscosity for advection–diffusion problems (2000) (47)
- Augmented spaces, two‐level methods, and stabilizing subgrids (2002) (47)
- A self-adaptive formulation for the Euler/Navier—Stokes coupling (1989) (46)
- On the numerical solution of plate bending problems by hybrid methods (1975) (45)
- Lowest order Virtual Element approximation of magnetostatic problems (2017) (45)
- Error estimates for the three-field formulation with bubble stabilization (2001) (45)
- Virtual Element approximation of 2D magnetostatic problems (2017) (44)
- The three‐field formulation for elasticity problems (2005) (43)
- Innovative mimetic discretizations for electromagnetic problems (2010) (41)
- A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics (2018) (41)
- MATHEMATICS AND COMPLEXITY IN LIFE AND HUMAN SCIENCES (2009) (40)
- Finite element approximations of the von Kármán equations (1978) (39)
- Interacting with the subgrid world (2005) (39)
- Convergence of the discrete free boundaries for finite element approximations (1983) (38)
- Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions (2018) (37)
- Error analysis of piecewise constant pressure approximations of Darcy’s law (2006) (36)
- Bubble stabilization of Discontinuous Galerkin methods (2009) (36)
- Stabilization of Galerkin Methods and Applications to Domain Decomposition (1992) (34)
- Virtual Element Implementation for General Elliptic Equations (2016) (33)
- A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem (2012) (32)
- Finite dimensional approximation of nonlinear problems (1980) (32)
- Variational Formulations and Finite Element Methods (1991) (31)
- Mimetic scalar products of discrete differential forms (2014) (30)
- Thermal Equilibrium States of the Quantum Hydrodynamic Model for Semiconductors in One Dimension (1995) (29)
- Inf-sup testing of upwind methods (2000) (28)
- Serendipity Face and Edge VEM Spaces (2016) (27)
- A singular perturbation analysis of reverse-biased semiconductor diodes (1989) (25)
- Stabilization Techniques for Domain Decomposition Methods with Non-Matching Grids (1997) (25)
- A Survey of Mixed Finite Element Methods (1988) (24)
- Modeling behavioral social systems (2017) (23)
- Sur la methode des elements finis hybrides pour le probleme biharmonique (1975) (23)
- The MITC9 shell element in plate bending: mathematical analysis of a simplified case (2011) (23)
- Optimal error estimates for linear parabolic problems under minimal regularity assumptions (1983) (22)
- Stability and error analysis of mixed finite-volume methods for advection dominated problems (2006) (22)
- How to get around a simple quadratic fold (1986) (22)
- A finite element approximation of a variational inequality related to hydraulics (1976) (22)
- VIRTUAL ELEMENT METHOD FOR PLATE BENDING PROBLEMS (2012) (22)
- A survey on mixed finite element approximations (1994) (22)
- “Real” and “Ghost” Bifurcation Dynamics in Difference Schemes for ODEs (1984) (21)
- TRAFFIC, CROWDS, AND SWARMS (2008) (21)
- Variational approximation of flux in conforming finite element methods for elliptic partial differential equations : a model problem (2001) (18)
- Virtual Element and Discontinuous Galerkin Methods (2014) (17)
- Polynomial preserving virtual elements with curved edges (2020) (17)
- Subgrid Phenomena and Numerical Schemes (2003) (16)
- A parallel domain reduction method (1989) (16)
- Stability of Finite Element Mixed Interpolations for Contact Problems (2001) (16)
- Mathematics, complexity and multiscale features of large systems of self-propelled particles (2016) (15)
- The partial selective reduced integration method and applications to shell problems (1997) (15)
- Numerical inf-sup analysis of MITC plate bending elements (1999) (14)
- L2‐estimates for the DG IIPG‐0 scheme (2012) (14)
- Stability of Saddle-Points in Finite Dimensions (2003) (13)
- Challenges in active particles methods: Theory and applications (2018) (13)
- Analysis of a mixed finite element method for elasto-plastic plates (1977) (13)
- Analytical modelling of a large‐scale dynamic testing facility (2012) (11)
- Recent results in the treatment of subgrid scales (2002) (11)
- New rectangular plate elements based on twist-Kirchhoff theory (2011) (11)
- A novel field-based mixed formulation of magnetostatics (1996) (10)
- MATHEMATICS AND COMPLEXITY IN BIOLOGICAL SCIENCES (2011) (10)
- Recent techniques for PDE discretizations on polyhedral meshes (2014) (10)
- On an equilibrium finite element method for plate bending problems (1980) (10)
- Traffic, crowds, and dynamics of self-organized particles: New trends and challenges (2015) (9)
- Stabilizations of the Baumann-Oden DG Formulation: The 3D Case (2008) (9)
- On the rotating beam: Some theoretical and numerical results (1984) (8)
- Towards a multiscale vision of active particles (2019) (8)
- An "immersed" finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem (2015) (8)
- MATHEMATICS AND COMPLEXITY OF MULTI-PARTICLE SYSTEMS (2012) (8)
- A new classification for shell problems (1999) (8)
- Finite element and finite volume discretizations of Drift-Diffusion type fluid models for semiconductors (2002) (7)
- Stabilization Techniques for the Finite Element Method (2000) (6)
- The method of mothers for non-overlapping non-matching DDM (2007) (5)
- COMPLEX SYSTEMS: NEW CHALLENGES WITH MODELING HEADACHES (2014) (5)
- Singular perturbation problems in semiconductor devices (1986) (5)
- New Quadrilateral Plate Elements Based on Twist-Kirchhoff Theory (2010) (5)
- Incompressible Materials and Flow Problems (1991) (5)
- On some numerical problems in semiconductor device simulation (1991) (5)
- Chapter 9 Mixed Finite Element Methods (2004) (4)
- Mathematical models of self-propelled particles (2017) (4)
- A monotonic scheme for advection-diffusion problems (1996) (4)
- The Great Beauty of VEMs (2015) (4)
- Recent results and perspectives for virtual element methods (2021) (4)
- Numerical mathematics and advanced applications : Proceedings of ENUMATH 2001 the 4th European conference on numerical mathematics and advanced applications, Ischia, July 2001 (2003) (3)
- A preconditioner for domain decomposition methods for advection-dominated problems (1996) (3)
- Recent results in the approximation of free boundaries (1986) (3)
- Hybrid methods for fourth order elliptic equations (1977) (3)
- Finite Elements and Virtual Elements on Classical Meshes (2021) (3)
- Analysis and numerics of partial differential equations (2013) (3)
- Approximation of Saddle Point Problems (1991) (3)
- Active particles methods and challenges in behavioral systems (2020) (3)
- Non-matching Grids and Lagrange Multipliers (2005) (3)
- Implementation of the stabilized three-field formulation (2000) (3)
- Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems (2018) (3)
- PIECEWISE CONSTANT PRESSURE FOR DARCY LAW (2003) (2)
- Mixed Finite Elements for Electromagnetic Problems (2013) (2)
- Subgrid scales, augmented problems, and stabilizations (2001) (2)
- Virtual Elements and curved edges (2019) (2)
- Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems (2021) (2)
- Error Estimates in the Approximation of a Free Boundary (1985) (2)
- The Chimera method for a model problem (2003) (2)
- Mathematical Modeling and Analysis New Discretization Methodology for Diffusion Problems on Polyhedral Meshes (1)
- The Stability and Numerical Analysis of Martensitic Microstructure (1997) (1)
- Functional analysis and boundary-value problems: An introductory treatment. B. Dayanand Reddy, Longman Scientific & Technical, Harlow, 1986. No. of pages: 333 (1988) (1)
- Metodi misti di exponential fitting per le equazioni di continuita' della corrente (1989) (1)
- Numerical studies on the stability of mixed finite elements over anisotropic meshes arising from immersed boundary stokes problems (2016) (1)
- Rececent results and perspectives on VEMs (2016) (1)
- Solid Findings: Students’ Over-reliance on Linearity (2015) (1)
- Behaviour of Finite Element Solutions Near a Bifurcation Point (1981) (1)
- Function Spaces and Finite Element Approximations (1991) (1)
- Recent results and challenges in behavioral systems (2020) (1)
- Mixed Methods for Elliptic Problems (2013) (1)
- Error analysis of piecewise constant approximations of Darcy’s law (2005) (1)
- A Parallel Domain Reduction (1989) (1)
- Complements on Plate Problems (2013) (1)
- Serendipity Virtual Elements on Polyhedral Meshes (2017) (0)
- Mathematical Modeling and Analysis Convergence of Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes (0)
- Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem (2001) (0)
- Complements: Stabilisation Methods, Eigenvalue Problems (2013) (0)
- Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions (2018) (0)
- Augmented spa es , two-level methods , and stabilising subgrids (2014) (0)
- Numerical Methods in Fluid Dynamics (1985) (0)
- Collective dynamics in science and society (2021) (0)
- 1 The Chimera Method for a model problem (0)
- Saddle Point Problems in Hilbert Spaces (2013) (0)
- MODELLING A LARGE-SCALE UNIAXIAL SHAKING TABLE FACILITY (2014) (0)
- Virtual Elements on Polyhedra with a Curved Face (2023) (0)
- H(div)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H({\text {div}})$$\end{document} and H(curl)\documentclass[12pt] (2015) (0)
- A mixed virtual element method for the Stokes problem∗ (2014) (0)
- 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) (0)
- Complements on Mixed Methods for Elliptic Problems (1991) (0)
- Active Particle Models and Methods in Science and Society (2023) (0)
- VEM approximations of the Vector Potential Formulation of Magnetostatic problems (2018) (0)
- Complements on Elasticity Problems (2013) (0)
- Book Review: The mathematical theory of finite element methods (1996) (0)
- HYBRID AND MIXED METHODS FOR PLATE BENDING PROBLEMS (1976) (0)
- New Trends of Mathematical Sciences Towards Modelling Virus Pandemics in a Globally Connected World (2022) (0)
- Mimetic Finite Difference Methods forConvection-Dominated Problems (2007) (0)
- Sul metodo a cinque punti per il laplaciano (1973) (0)
- Algebraic Aspects of Saddle Point Problems (2013) (0)
- A Quick Tutorial on DG Methods for Elliptic Problems (2014) (0)
- A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem (2013) (0)
- On some recent results on the numerical problems in semiconductor device simulation (1990) (0)
- Remarks on ellipticity and regularity for non-inhibited shells and other constrained systems (1998) (0)
- Sul problema di Dirichlet nel semispazio (1970) (0)
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