Edit Profile (opens in new tab) Marini, Luisa Donatella Compute Distance To: Compute Author ID: marini.luisa-donatella Published as: Marini, L. D.; Marini, L. Donatella; Marini, Luisa Donatella; Marini, D.; Marini, Donatella; Donatella Marini, Luisa; Marini, Luisa Donatelia Homepage: http://arturo.imati.cnr.it/marini/ External Links: ORCID · Google Scholar Documents Indexed: 102 Publications since 1972, including 4 Books Co-Authors: 46 Co-Authors with 94 Joint Publications 2,563 Co-Co-Authors all top 5 Co-Authors 8 single-authored 75 Brezzi, Franco 20 Russo, Alessandro 18 Pietra, Paola 16 Beirão da Veiga, Lourenço 5 Chinosi, Claudia 5 Süli, Endre E. 4 Arnold, Douglas Norman 4 Dassi, Franco 4 Douglas, Jim jun. 4 Quarteroni, Alfio M. 3 Cockburn, Bernardo 3 Fortin, Michel 3 Hughes, Thomas J. R. 3 Lovadina, Carlo 2 Antonietti, Paola Francesca 2 Ayuso de Dios, Blanca 2 Della Croce, Lucia 2 Falk, Richard S. 2 Geymonat, Giuseppe 2 Krasucki, Françoise 2 Manzini, Gianmarco 2 Sangalli, Giancarlo 2 Savini, Antonio 2 Scapolla, Terenzio 2 Vidrascu, Marina 1 Ahmad, Bashir 1 Al-saedi, Ahmed Eid Salem 1 Ayuso, Blanca 1 Bathe, Klaus-Jürgen 1 Bellomo, Nicola 1 Bertoluzza, Silvia 1 Cangiani, Andrea 1 Capelo, Antonio Candido 1 Di Barba, Paolo 1 Douglas, Craig C. 1 Evans, John A. 1 Glowinski, Roland 1 Hauke, Guillermo 1 Havle, Oto 1 Houston, Paul 1 Markowich, Peter Alexander 1 Masud, Arif 1 Raviart, Pierre-Arnaud 1 Wang, Song 1 Xu, Jinchao 1 Zikatanov, Ludmil T. all top 5 Serials 14 Computer Methods in Applied Mechanics and Engineering 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Numerical Analysis 6 Numerische Mathematik 4 Journal of Scientific Computing 3 Computers & Mathematics with Applications 3 COMPEL 3 Numerical Methods for Partial Differential Equations 3 Matemática Aplicada e Computacional 2 Transport Theory and Statistical Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 Calcolo 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Chinese Annals of Mathematics. Series B 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Computational Mechanics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Vietnam Journal of Mathematics 1 GAMM-Mitteilungen 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 SMAI Journal of Computational Mathematics all top 5 Fields 87 Numerical analysis (65-XX) 59 Partial differential equations (35-XX) 22 Mechanics of deformable solids (74-XX) 16 Fluid mechanics (76-XX) 14 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Potential theory (31-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 4,916 times in 2,753 Documents Cited by ▼ Year ▼ Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,174 2002 Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 480 1985 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 435 2013 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 217 2014 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 193 2013 Equivalent projectors for virtual element methods. Zbl 1347.65172Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 179 2013 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 153 2000 Virtual element methods for plate bending problems. Zbl 1297.74049Brezzi, Franco; Marini, L. Donatella 148 2013 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 128 1987 Basic principles of mixed virtual element methods. Zbl 1299.76130Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 125 2014 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 117 2016 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 85 2016 An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. Zbl 0573.65082Donatella Marini, Luisa 72 1985 Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 69 1989 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 67 2016 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 67 2000 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 67 2004 Discontinuous Galerkin methods for advection-diffusion-reaction problems. Zbl 1205.65308Ayuso, Blanca; Marini, L. Donatella 61 2009 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 60 2006 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 57 2005 A relaxation procedure for domain decomposition methods using finite elements. Zbl 0661.65111Marini, L. D.; Quarteroni, A. 57 1989 A priori error analysis of residual-free bubbles for advection-diffusion problems. Zbl 0947.65115Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Russo, A.; Süli, Endre 49 1999 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113Brezzi, F.; Marini, D.; Russo, A. 47 1998 Numerical simulation of semiconductor devices. Zbl 0698.76125Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 44 1989 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 39 2016 Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109Brezzi, F.; Marini, D.; Süli, E. 37 2000 Mixed finite element methods with continuous stresses. Zbl 0774.73066Brezzi, Franco; Fortin, Michel; Marini, L. Donatella 35 1993 Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G. 34 2003 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 33 2005 A three-field domain decomposition method. Zbl 0801.65116Brezzi, F.; Marini, L. D. 33 1994 On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390Brezzi, F.; Marini, L. D.; Russo, A. 28 2005 Virtual element method for fourth order problems: \(L^2\)-estimates. Zbl 1367.65169Chinosi, Claudia; Marini, L. Donatella 27 2016 Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella 26 2007 Nonconforming locking-free finite elements for Reissner-Mindlin plates. Zbl 1119.74047Chinosi, C.; Lovadina, C.; Marini, L. D. 20 2006 Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118Brezzi, Franco; Marini, Donatella 20 2001 Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024Brezzi, F.; Marini, L. D. 20 2002 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 18 2017 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 18 2000 On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048Brezzi, F.; Marini, L. D. 18 1975 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 18 2006 A domain decomposition method for a bonded structure. Zbl 0940.74060Geymonat, G.; Krasucki, F.; Marini, D.; Vidrascu, M. 17 1998 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 16 2018 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 15 2018 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 15 2018 Discretization of semiconductor device problems. I. Zbl 1179.82150Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S. 15 2005 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150Brezzi, F.; Marini, L. D. 14 2014 An abstract theory for mixed approximations of second order elliptic problems. Zbl 0711.65091Marini, L. D.; Pietra, P. 14 1989 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 14 2009 A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil 13 2014 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 13 2016 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071Brezzi, F.; Douglas, J. jun.; Marini, L. D. 13 1986 New mixed finite element schemes for current continuity equations. Zbl 0721.65075Marini, Luisa Donatella; Pietra, Paola 12 1990 Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073Brezzi, F.; Douglas, Jim jun.; Marini, L. D. 12 1985 The three-field formulation for elasticity problems. Zbl 1156.74042Brezzi, Franco; Marini, Luisa Donatella 12 2005 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 11 2017 Finite-element approximations and iterative solutions of a fourth-order elliptic variational inequality. Zbl 0544.65043Glowinski, R.; Marini, L. D.; Vidrascu, M. 11 1984 Stability and error analysis of mixed finite-volume methods for advection dominated problems. Zbl 1136.65097Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R. 11 2006 A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems. Zbl 1203.65257Lovadina, Carlo; Marini, L. Donatella 10 2009 Macro hybrid elements and domain decomposition methods. Zbl 0845.65060Brezzi, F.; Marini, L. D. 9 1993 An iterative procedure for domain decomposition methods: A finite element approach. Zbl 0662.65096Marini, L. D.; Quarteroni, A. 9 1988 Mixed finite element approximation of a degenerate elliptic problem. Zbl 0837.65125Marini, Donatella; Pietra, Paola 8 1995 Fixed-point algorithms for stationary flow in porous media. Zbl 0577.76086Marini, L. D.; Pietra, P. 7 1986 Méthodes d’éléments finis mixtes et schéma de Scharfetter-Gummel. (Mixed finite element methods and Scharfetter-Gummel scheme). Zbl 0623.65131Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 7 1987 The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. Zbl 1307.74063Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella 6 2011 \(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella 5 2012 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 5 2008 Subgrid phenomena and numerical schemes. Zbl 1016.76044Brezzi, Franco; Marini, Donatella 5 2002 New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D. 5 2011 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 5 2020 A parallel domain reduction method. Zbl 0678.65070Brezzi, Franco; Douglas, Craig C.; Marini, L. Donatella 4 1989 On an equilibrium finite element method for plate bending problems. Zbl 0456.73062Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A. 3 1980 Discontinuous Galerkin elements for Reissner-Mindlin plates. Zbl 1155.74046Marini, L. D. 3 2008 Mixed and hybrid exponential fitting schemes for the drift-diffusion equations in semiconductors. Zbl 0706.65132Brezzi, F.; Marini, L. D.; Pietra, P. 2 1989 A monotonic scheme for advection-diffusion problems. Zbl 0870.65101Brezzi, F.; Marini, D.; Pietra, P.; Russo, A. 2 1996 Accurate computation of electric field in reverse-biased semiconductor devices: A mixed finite-element approach. Zbl 0619.65120Marini, L. D.; Savini, A. 2 1984 Finite elements and virtual elements on classical meshes. Zbl 1477.65196Brezzi, Franco; Marini, Luisa Donatella 2 2021 Virtual element approximations of the vector potential formulation of magnetostatic problems. Zbl 1416.78024Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro 1 2018 A quick tutorial on DG methods for elliptic problems. Zbl 1282.65149Brezzi, F.; Marini, L. D. 1 2014 Implementation of the stabilized three-field formulation. Zbl 1018.65129Brezzi, Franco; Marini, L. Donatella 1 2001 Non-matching grids and Lagrange multipliers. Zbl 1066.65139Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G. 1 2005 A survey of DG methods for elliptic problems. Zbl 1043.65129Marini, L. D. 1 2003 Implementation of hybrid finite element methods and associated numerical problems. Part II. Zbl 0443.65086Marini, L. D. 1 1978 Recent developments in non-standard finite element methods. Zbl 0453.73074Brezzi, F.; Chinosi, C.; Della Croce, L.; Marini, L. D.; Quarteroni, A.; Sacchi, G.; Scapolla, T. 1 1979 Mixed exponential fitting schemes for current continuity equations. Zbl 0800.65026Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 1 1989 Finite element approximation of a degenerate eigenvalue problem. Zbl 0795.65070Marini, Donatella; Pietra, Paola 1 1993 Nonconforming finite elements for Reissner-Mindlin plates. Zbl 1229.65211Chinosi, C.; Lovadina, C.; Marini, L. D. 1 2005 Mixed finite elements in magnetostatics. Zbl 0809.65126Di Barba, P.; Marini, L. D.; Savini, A. 1 1993 Implementation of hybrid finite element methods and associated numerical problems. Part I. Zbl 0353.65061Marini, L. D. 1 1976 Sul calcolo numerico della soluzione del problema di Dirichlet con dati singolari. Zbl 0358.65092Brezzi, F.; Marini, L. D. 1 1972 On some numerical problems in semiconductor device simulation. Zbl 0732.65112Brezzi, F.; Marini, L. D.; Markowich, P.; Pietra, P. 1 1991 Finite elements and virtual elements on classical meshes. Zbl 1477.65196Brezzi, Franco; Marini, Luisa Donatella 2 2021 Polynomial preserving virtual elements with curved edges. Zbl 1444.65066Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 5 2020 A family of three-dimensional virtual elements with applications to magnetostatics. Zbl 1412.65201Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. 16 2018 Serendipity virtual elements for general elliptic equations in three dimensions. Zbl 1448.65214Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro 15 2018 Lowest order virtual element approximation of magnetostatic problems. Zbl 1440.65181Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 15 2018 Virtual element approximations of the vector potential formulation of magnetostatic problems. Zbl 1416.78024Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro 1 2018 Serendipity face and edge VEM spaces. Zbl 1395.65139Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 18 2017 Virtual element approximation of 2D magnetostatic problems. Zbl 1439.78017Beirão da Veiga, L.; Brezzi, F.; Dassi, F.; Marini, L. D.; Russo, A. 11 2017 Virtual element method for general second-order elliptic problems on polygonal meshes. Zbl 1332.65162Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 117 2016 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 85 2016 \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. Zbl 1343.65133Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 67 2016 Serendipity nodal VEM spaces. Zbl 1390.76292Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. 39 2016 Virtual element method for fourth order problems: \(L^2\)-estimates. Zbl 1367.65169Chinosi, Claudia; Marini, L. Donatella 27 2016 Virtual element implementation for general elliptic equations. Zbl 1357.65253Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 13 2016 The Hitchhiker’s guide to the virtual element method. Zbl 1291.65336Beirão da Veiga, L.; Brezzi, Franco; Marini, L. D.; Russo, A. 217 2014 Basic principles of mixed virtual element methods. Zbl 1299.76130Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 125 2014 Virtual element and discontinuous Galerkin methods. Zbl 1282.65150Brezzi, F.; Marini, L. D. 14 2014 A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil 13 2014 A quick tutorial on DG methods for elliptic problems. Zbl 1282.65149Brezzi, F.; Marini, L. D. 1 2014 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 435 2013 Virtual elements for linear elasticity problems. Zbl 1268.74010Beirao da Veiga, L.; Brezzi, F.; Marini, L. D. 193 2013 Equivalent projectors for virtual element methods. Zbl 1347.65172Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A. 179 2013 Virtual element methods for plate bending problems. Zbl 1297.74049Brezzi, Franco; Marini, L. Donatella 148 2013 \(L^2\)-estimates for the DG IIPG-0 scheme. Zbl 1256.65095Ayuso de Dios, Blanca; Brezzi, Franco; Havle, Oto; Marini, Luisa Donatella 5 2012 The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. Zbl 1307.74063Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella 6 2011 New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D. 5 2011 Discontinuous Galerkin methods for advection-diffusion-reaction problems. Zbl 1205.65308Ayuso, Blanca; Marini, L. Donatella 61 2009 Bubble stabilization of discontinuous Galerkin methods. Zbl 1227.65110Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 14 2009 A-posteriori error estimates for discontinuous Galerkin approximations of second order elliptic problems. Zbl 1203.65257Lovadina, Carlo; Marini, L. Donatella 10 2009 Stabilizations of the Baumann-Oden DG formulation: the 3D case. Zbl 1192.65141Antonietti, Paola F.; Brezzi, Franco; Marini, L. Donatella 5 2008 Discontinuous Galerkin elements for Reissner-Mindlin plates. Zbl 1155.74046Marini, L. D. 3 2008 Locking-free Reissner-Mindlin elements without reduced integration. Zbl 1173.74396Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella 26 2007 Stabilization mechanisms in discontinuous Galerkin finite element methods. Zbl 1125.65102Brezzi, F.; Cockburn, B.; Marini, L. D.; Süli, E. 60 2006 Nonconforming locking-free finite elements for Reissner-Mindlin plates. Zbl 1119.74047Chinosi, C.; Lovadina, C.; Marini, L. D. 20 2006 Error analysis of piecewise constant pressure approximations of Darcy’s law. Zbl 1116.76051Brezzi, F.; Fortin, M.; Marini, L. D. 18 2006 Stability and error analysis of mixed finite-volume methods for advection dominated problems. Zbl 1136.65097Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R. 11 2006 Mixed discontinuous Galerkin methods for Darcy flow. Zbl 1103.76031Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Masud, A. 57 2005 A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Zbl 1065.74068Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella 33 2005 On the choice of a stabilizing subgrid for convection-diffusion problems. Zbl 1143.65390Brezzi, F.; Marini, L. D.; Russo, A. 28 2005 Discretization of semiconductor device problems. I. Zbl 1179.82150Brezzi, F.; Marini, L. D.; Micheletti, S.; Pietra, P.; Sacco, R.; Wang, S. 15 2005 The three-field formulation for elasticity problems. Zbl 1156.74042Brezzi, Franco; Marini, Luisa Donatella 12 2005 Non-matching grids and Lagrange multipliers. Zbl 1066.65139Bertoluzza, S.; Brezzi, F.; Marini, L. D.; Sangalli, G. 1 2005 Nonconforming finite elements for Reissner-Mindlin plates. Zbl 1229.65211Chinosi, C.; Lovadina, C.; Marini, L. D. 1 2005 Discontinuous Galerkin methods for first-order hyperbolic problems. Zbl 1070.65117Brezzi, F.; Marini, L. D.; Süli, E. 67 2004 Link-cutting bubbles for the stabilization of convection-diffusion-reaction problems. Zbl 1098.65104Brezzi, F.; Hauke, G.; Marini, L. D.; Sangalli, G. 34 2003 A survey of DG methods for elliptic problems. Zbl 1043.65129Marini, L. D. 1 2003 Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella 1,174 2002 Augmented spaces, two-level methods, and stabilizing subgrids. Zbl 1021.76024Brezzi, F.; Marini, L. D. 20 2002 Subgrid phenomena and numerical schemes. Zbl 1016.76044Brezzi, Franco; Marini, Donatella 5 2002 Error estimates for the three-field formulation with bubble stabilization. Zbl 0970.65118Brezzi, Franco; Marini, Donatella 20 2001 Implementation of the stabilized three-field formulation. Zbl 1018.65129Brezzi, Franco; Marini, L. Donatella 1 2001 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 153 2000 Discontinuous Galerkin methods for elliptic problems. Zbl 0948.65127Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, Donatella 67 2000 Residual-free bubbles for advection-diffusion problems: The general error analysis. Zbl 0963.65109Brezzi, F.; Marini, D.; Süli, E. 37 2000 Modeling subgrid viscosity for advection-diffusion problems. Zbl 0980.76042Brezzi, F.; Houston, P.; Marini, D.; Süli, E. 18 2000 A priori error analysis of residual-free bubbles for advection-diffusion problems. Zbl 0947.65115Brezzi, F.; Hughes, T. J. R.; Marini, L. D.; Russo, A.; Süli, Endre 49 1999 Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems. Zbl 0932.65113Brezzi, F.; Marini, D.; Russo, A. 47 1998 A domain decomposition method for a bonded structure. Zbl 0940.74060Geymonat, G.; Krasucki, F.; Marini, D.; Vidrascu, M. 17 1998 A monotonic scheme for advection-diffusion problems. Zbl 0870.65101Brezzi, F.; Marini, D.; Pietra, P.; Russo, A. 2 1996 Mixed finite element approximation of a degenerate elliptic problem. Zbl 0837.65125Marini, Donatella; Pietra, Paola 8 1995 A three-field domain decomposition method. Zbl 0801.65116Brezzi, F.; Marini, L. D. 33 1994 Mixed finite element methods with continuous stresses. Zbl 0774.73066Brezzi, Franco; Fortin, Michel; Marini, L. Donatella 35 1993 Macro hybrid elements and domain decomposition methods. Zbl 0845.65060Brezzi, F.; Marini, L. D. 9 1993 Finite element approximation of a degenerate eigenvalue problem. Zbl 0795.65070Marini, Donatella; Pietra, Paola 1 1993 Mixed finite elements in magnetostatics. Zbl 0809.65126Di Barba, P.; Marini, L. D.; Savini, A. 1 1993 On some numerical problems in semiconductor device simulation. Zbl 0732.65112Brezzi, F.; Marini, L. D.; Markowich, P.; Pietra, P. 1 1991 New mixed finite element schemes for current continuity equations. Zbl 0721.65075Marini, Luisa Donatella; Pietra, Paola 12 1990 Two-dimensional exponential fitting and applications to drift-diffusion models. Zbl 0686.65088Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 69 1989 A relaxation procedure for domain decomposition methods using finite elements. Zbl 0661.65111Marini, L. D.; Quarteroni, A. 57 1989 Numerical simulation of semiconductor devices. Zbl 0698.76125Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 44 1989 An abstract theory for mixed approximations of second order elliptic problems. Zbl 0711.65091Marini, L. D.; Pietra, P. 14 1989 A parallel domain reduction method. Zbl 0678.65070Brezzi, Franco; Douglas, Craig C.; Marini, L. Donatella 4 1989 Mixed and hybrid exponential fitting schemes for the drift-diffusion equations in semiconductors. Zbl 0706.65132Brezzi, F.; Marini, L. D.; Pietra, P. 2 1989 Mixed exponential fitting schemes for current continuity equations. Zbl 0800.65026Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 1 1989 An iterative procedure for domain decomposition methods: A finite element approach. Zbl 0662.65096Marini, L. D.; Quarteroni, A. 9 1988 Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella 128 1987 Méthodes d’éléments finis mixtes et schéma de Scharfetter-Gummel. (Mixed finite element methods and Scharfetter-Gummel scheme). Zbl 0623.65131Brezzi, Franco; Marini, Luisa Donatella; Pietra, Paola 7 1987 Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071Brezzi, F.; Douglas, J. jun.; Marini, L. D. 13 1986 Fixed-point algorithms for stationary flow in porous media. Zbl 0577.76086Marini, L. D.; Pietra, P. 7 1986 Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072Brezzi, Franco; Douglas, Jim jun.; Marini, L. D. 480 1985 An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method. Zbl 0573.65082Donatella Marini, Luisa 72 1985 Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073Brezzi, F.; Douglas, Jim jun.; Marini, L. D. 12 1985 Finite-element approximations and iterative solutions of a fourth-order elliptic variational inequality. Zbl 0544.65043Glowinski, R.; Marini, L. D.; Vidrascu, M. 11 1984 Accurate computation of electric field in reverse-biased semiconductor devices: A mixed finite-element approach. Zbl 0619.65120Marini, L. D.; Savini, A. 2 1984 On an equilibrium finite element method for plate bending problems. Zbl 0456.73062Brezzi, F.; Marini, L. D.; Quarteroni, A.; Raviart, P. A. 3 1980 Recent developments in non-standard finite element methods. Zbl 0453.73074Brezzi, F.; Chinosi, C.; Della Croce, L.; Marini, L. D.; Quarteroni, A.; Sacchi, G.; Scapolla, T. 1 1979 Implementation of hybrid finite element methods and associated numerical problems. Part II. Zbl 0443.65086Marini, L. D. 1 1978 Implementation of hybrid finite element methods and associated numerical problems. Part I. Zbl 0353.65061Marini, L. D. 1 1976 On the numerical solution of plate bending problems by hybrid methods. Zbl 0322.73048Brezzi, F.; Marini, L. D. 18 1975 Sul calcolo numerico della soluzione del problema di Dirichlet con dati singolari. Zbl 0358.65092Brezzi, F.; Marini, L. D. 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 3,001 Authors 54 Cockburn, Bernardo 48 Beirão da Veiga, Lourenço 47 Brezzi, Franco 45 Marini, Luisa Donatella 43 Antonietti, Paola Francesca 33 Ye, Xiu 29 Manzini, Gianmarco 28 Chen, Zhangxin 28 Houston, Paul 27 Bassi, Francesco 27 Di Pietro, Daniele Antonio 27 Russo, Alessandro 26 Schötzau, Dominik 25 Mu, Lin 24 Gatica, Gabriel N. 22 Masud, Arif 22 Wheeler, Mary Fanett 21 Giani, Stefano 21 Wang, Junping 21 Xu, Jinchao 20 Park, Eun-Jae 20 Perugia, Ilaria 20 Verani, Marco 20 Yotov, Ivan 19 Dassi, Franco 19 Mora, David 19 Sacco, Riccardo 18 Chen, Yanping 18 Crivellini, Andrea 18 Han, Weimin 18 Shu, Chi-Wang 18 Vacca, Giuseppe 17 Bazilevs, Yuri 17 Carstensen, Carsten 17 Hughes, Thomas J. R. 17 Quarteroni, Alfio M. 17 Zhang, Shangyou 16 Chung, Tsz Shun Eric 16 Dolejší, Vít 16 Gudi, Thirupathi 16 Huang, Jianguo 16 Lovadina, Carlo 16 Wriggers, Peter 15 Brenner, Susanne Cecelia 15 Chen, Long 15 He, Yinnian 15 Huang, Yunqing 15 Rui, Hongxing 14 Bertoluzza, Silvia 14 Colombo, Alessandro G. 14 Droniou, Jérôme 14 Hudobivnik, Blaž 14 Mascotto, Lorenzo 14 Rivière, Beatrice M. 14 Zikatanov, Ludmil T. 13 Cangiani, Andrea 13 Chen, Shaochun 13 Feng, Minfu 13 Kanschat, Guido 13 Larson, Mats G. 13 Nguyen, Ngoc Cuong 13 Ruiz-Baier, Ricardo 13 Scovazzi, Guglielmo 13 Wihler, Thomas Pascal 12 Arbogast, Todd 12 Georgoulis, Emmanuil H. 12 Ghidoni, Antonio 12 Huang, Xuehai 12 Loula, Abimael Fernando Dourado 12 Natarajan, Sundararajan 12 Nordström, Jan 12 Scialò, Stefano 12 van der Vegt, Jaap J. W. 12 Zhao, Jikun 11 Artioli, Edoardo 11 Berrone, Stefano 11 Burman, Erik 11 Hiptmair, Ralf 11 Karasözen, Bülent 11 Kumar, Sarvesh 11 Kwak, Do Young 11 Li, Jichun 11 Lipnikov, Konstantin N. 11 Pani, Amiya Kumar 11 Rebay, Stefano 11 Sayas, Francisco-Javier 11 Wang, Yanqiu 11 Xie, Xiaoping 10 Badia, Santiago 10 Botti, Lorenzo 10 Codina, Ramon 10 Ern, Alexandre 10 Feistauer, Miloslav 10 Fu, Guosheng 10 Guo, Hui 10 Hsu, Ming-Chen 10 Hu, Jun 10 Lew, Adrian J. 10 Meddahi, Salim 10 Schütz, Jochen ...and 2,901 more Authors all top 5 Cited in 183 Serials 362 Computer Methods in Applied Mechanics and Engineering 242 Journal of Computational Physics 198 Journal of Scientific Computing 144 Computers & Mathematics with Applications 144 Journal of Computational and Applied Mathematics 115 Mathematics of Computation 99 Numerische Mathematik 89 Applied Numerical Mathematics 86 M\(^3\)AS. 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Series B 6 East Asian Journal on Applied Mathematics 6 Communications on Applied Mathematics and Computation 5 Abstract and Applied Analysis 5 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Applied Mathematics and Computing 5 Multiscale Modeling & Simulation 5 Acta Numerica 5 GEM - International Journal on Geomathematics 4 Mathematical Methods in the Applied Sciences 4 Meccanica 4 RAIRO. Analyse Numérique 4 Applied Mathematics and Mechanics. (English Edition) 4 Computer Aided Geometric Design 4 Mathematical and Computer Modelling 4 Foundations of Computational Mathematics 4 Boundary Value Problems 4 Advances in Mathematical Physics 4 S\(\vec{\text{e}}\)MA Journal 3 Acta Mathematicae Applicatae Sinica. English Series 3 SIAM Review 3 Nonlinear Analysis. Real World Applications 3 Advances in Difference Equations 3 Oberwolfach Reports 3 International Journal for Numerical Methods in Biomedical Engineering 3 Journal of Applied Analysis and Computation 3 Results in Applied Mathematics 2 Computer Physics Communications 2 International Journal of Engineering Science 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Complexity 2 Science in China. Series A 2 Computational Mathematics and Mathematical Physics 2 Linear Algebra and its Applications 2 SIAM Journal on Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Applied Mathematics. Series B (English Edition) 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Mathematics and Mechanics of Solids 2 International Journal of Computational Fluid Dynamics 2 Engineering Computations ...and 83 more Serials all top 5 Cited in 44 Fields 2,288 Numerical analysis (65-XX) 1,100 Partial differential equations (35-XX) 892 Fluid mechanics (76-XX) 522 Mechanics of deformable solids (74-XX) 126 Optics, electromagnetic theory (78-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 61 Statistical mechanics, structure of matter (82-XX) 57 Geophysics (86-XX) 36 Biology and other natural sciences (92-XX) 31 Classical thermodynamics, heat transfer (80-XX) 24 Ordinary differential equations (34-XX) 22 Potential theory (31-XX) 22 Computer science (68-XX) 16 Integral equations (45-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Approximations and expansions (41-XX) 9 Real functions (26-XX) 9 Functional analysis (46-XX) 9 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Operations research, mathematical programming (90-XX) 7 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 6 Quantum theory (81-XX) 5 Statistics (62-XX) 5 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) Citations by Year