Edit Profile Manzini, Gianmarco Compute Distance To: Compute Author ID: manzini.gianmarco Published as: Manzini, G.; Manzini, Gianmarco External Links: ORCID Documents Indexed: 91 Publications since 1996, including 1 Book all top 5 Co-Authors 4 single-authored 16 Bertolazzi, Enrico 16 Lipnikov, Konstantin N. 14 Beirão da Veiga, Lourenço 8 Cangiani, Andrea 6 Russo, Alessandro 5 Brezzi, Franco 5 Gyrya, Vitaliy T. 5 Putti, Mario 4 Coudière, Yves 4 Gardini, Francesca 3 Arioli, Mario 3 Funaro, Daniele 3 Gallo, Claudio 3 Shashkov, Mikhail J. 3 Sukumar, Natarajan 3 Vacca, Giuseppe 2 Buffa, Annalisa 2 Čertík, Ondřej 2 Delzanno, Gian Luca 2 Droniou, Jérôme 2 Fatone, Lorella 2 Hubert, Florence 2 Maguolo, Gianluca 2 Marini, Luisa Donatella 2 Mascotto, Lorenzo 2 Moulton, J. David 2 Sutton, Oliver J. 2 Svyatskiy, Daniil 1 Ayuso de Dios, Blanca 1 Bellomo, Nicola 1 Benvenuti, Elena 1 Bergamaschi, Luca 1 Bertoluzza, Silvia 1 Chiozzi, A. 1 Di Pietro, Daniele Antonio 1 Falletta, Silvia 1 Fassino, Claudia 1 Krell, Stella 1 Mantica, Stefano 1 Markidis, Stefano 1 Mazzia, Annamaria 1 Pietra, Paola 1 Vencels, J. all top 5 Serials 11 Journal of Computational Physics 9 SIAM Journal on Numerical Analysis 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Computer Methods in Applied Mechanics and Engineering 4 Communications in Numerical Methods in Engineering 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 IMA Journal of Numerical Analysis 3 Applied Numerical Mathematics 3 Numerical Methods for Partial Differential Equations 2 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Fluids 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 1 ACM Transactions on Mathematical Software 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 BIT 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Far East Journal of Applied Mathematics 1 MS&A. Modeling, Simulation and Applications 1 Communications on Applied Mathematics and Computation all top 5 Fields 66 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 31 Fluid mechanics (76-XX) 5 Geophysics (86-XX) 3 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 77 Publications have been cited 1,784 times in 769 Documents Cited by ▼ Year ▼ Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 304 2013 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 139 2000 Mimetic finite difference method. Zbl 1352.65420Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail 115 2014 The mimetic finite difference method for elliptic problems. Zbl 1286.65141Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco 99 2014 The nonconforming virtual element method. Zbl 1343.65140Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco 69 2016 New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322Manzini, Gianmarco; Russo, Alessandro; Sukumar, N. 52 2014 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 52 2014 Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 48 2011 Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J. 45 2017 Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 44 2009 A second-order maximum principle preserving finite volume method for steady convection-diffusion problems. Zbl 1145.65326Bertolazzi, Enrico; Manzini, Gianmarco 44 2005 Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. 43 2009 The nonconforming virtual element method for the Stokes equations. Zbl 1426.76230Cangiani, Andrea; Gyrya, Vitaliy; Manzini, Gianmarco 37 2016 Flux reconstruction and solution post-processing in mimetic finite difference methods. Zbl 1169.76404Cangiani, Andrea; Manzini, Gianmarco 35 2008 Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. Zbl 1218.65117Lipnikov, K.; Manzini, G.; Svyatskiy, D. 31 2011 Convergence analysis of the mimetic finite difference method for elliptic problems. Zbl 1204.65128Cangiani, Andrea; Manzini, Gianmarco; Russo, Alessandro 31 2009 A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201Beirão da Veiga, Lourenço; Manzini, Gianmarco 31 2008 An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146Beirão da Veiga, Lourenço; Manzini, Gianmarco 29 2008 The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. 28 2011 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090Antonietti, P. F.; Manzini, G.; Verani, M. 26 2018 A finite volume method for advection-diffusion problems in convection-dominated regimes. Zbl 1159.76356Manzini, Gianmarco; Russo, Alessandro 26 2008 Hourglass stabilization and the virtual element method. Zbl 1352.65475Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N. 24 2015 A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. Zbl 1263.65102Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco 24 2011 On vertex reconstructions for cell-centered finite volume approximations of 2D anisotropic diffusion problems. Zbl 1119.65115Bertolazzi, Enrico; Manzini, Gianmarco 24 2007 A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes. Zbl 1079.65113Bertolazzi, Enrico; Manzini, Gianmarco 23 2004 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056Beirão da Veiga, L.; Manzini, G. 22 2015 A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. Zbl 1349.65581Lipnikov, K.; Manzini, G. 22 2014 Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 22 2010 The discrete duality finite volume method for convection-diffusion problems. Zbl 1210.65183Coudière, Yves; Manzini, Gianmarco 21 2010 Mesh locking effects in the finite volume solution of 2D anisotropic diffusion equations. Zbl 1109.65101Manzini, Gianmarco; Putti, Mario 20 2007 Mimetic scalar products of discrete differential forms. Zbl 1352.65417Brezzi, F.; Buffa, A.; Manzini, G. 19 2014 Convergence of the mimetic finite difference method for eigenvalue problems in mixed form. Zbl 1225.65106Cangiani, Andrea; Gardini, Francesca; Manzini, Gianmarco 19 2011 A mixed finite element–finite volume formulation of the black-oil model. Zbl 0959.76039Bergamaschi, Luca; Mantica, Stefano; Manzini, Gianmarco 16 1999 Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco 13 2018 The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail 13 2016 Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers. Zbl 1070.65568Bertolazzi, Enrico; Manzini, Gianmarco 13 2002 A null space algorithm for mixed finite-element approximations of Darcy’s equation. Zbl 1073.76581Arioli, Mario; Manzini, Gianmarco 11 2002 The virtual element method for eigenvalue problems with potential terms on polytopic meshes. Zbl 06945736Čertík, Ondřej; Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe 10 2018 The arbitrary order mixed mimetic finite difference method for the diffusion equation. Zbl 1342.65202Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco 10 2016 M-adaptation in the mimetic finite difference method. Zbl 1291.65320Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil 10 2014 The discrete duality finite volume method for Stokes equations on three-dimensional polyhedral meshes. Zbl 1387.65113Krell, Stella; Manzini, Gianmarco 10 2012 The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe 8 2019 Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation. Zbl 1053.65064Bertolazzi, Enrico; Manzini, Gianmarco 8 2004 A unified treatment of boundary conditions in least-square based finite-volume methods. Zbl 1082.65131Bertolazzi, E.; Manzini, G. 7 2005 Least square-based finite volumes for solving the advection-diffusion of contaminants in porous media. Zbl 1086.76045Bertolazzi, Enrico; Manzini, Gianmarco 6 2004 A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system. Zbl 1349.76572Manzini, G.; Delzanno, G. L.; Vencels, J.; Markidis, S. 5 2016 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317Bellomo, N.; Brezzi, F.; Manzini, G. 5 2014 Monotonicity conditions in the mimetic finite difference method. Zbl 1246.65203Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil 5 2011 A fully coupled numerical model for two-phase flow with contaminant transport and biodegradation kinetics. Zbl 1020.76052Gallo, Claudio; Manzini, Gianmarco 5 2001 A triangle-based unstructured finite volume method for chemically reactive hypersonic flows. Zbl 0985.76058Bertolazzi, Enrico; Manzini, Gianmarco 5 2001 A mixed finite element/finite volume approach for solving biodegradation transport in groundwater. Zbl 0927.76048Gallo, Claudio; Manzini, Gianmarco 5 1998 Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario 4 2015 Fast-secant algorithms for the nonlinear Richards equation. Zbl 0927.76046Fassino, Claudia; Manzini, Gianmarco 4 1998 A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076Beirão da Veiga, L.; Manzini, G.; Mascotto, L. 3 2019 The mimetic finite difference method. Zbl 1422.65319Manzini, Gianmarco 3 2008 DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems. Zbl 1124.65073Bertolazzi, Enrico; Manzini, Gianmarco 3 2007 A finite volume method for transport of contaminants in porous media. Zbl 1146.76619Bertolazzi, Enrico; Manzini, Gianmarco 3 2004 Null space algorithm and spanning trees in solving Darcy’s equation. Zbl 1046.65017Arioli, Mario; Manzini, Gianmarco 3 2003 Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N. 2 2019 Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M. 2 2017 Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118Manzini, G.; Funaro, D.; Delzanno, G. L. 2 2017 Benchmark 3D: the cell-centered finite volume method using least squares vertex reconstruction (“Diamond scheme”). Zbl 1246.76049Coudière, Yves; Manzini, Gianmarco 2 2011 A cevefe DDFV scheme for discontinuous anisotropic permeability tensors. Zbl 1246.76075Coudière, Yves; Hubert, Florence; Manzini, Gianmarco 2 2011 The mimetic finite difference method. Zbl 1422.65320Manzini, Gianmarco 2 2008 Efficient design of residual-based stabilization techniques for three fields domain decomposition method. Zbl 1153.65107Bertoluzza, Silvia; Falleta, Silvia; Manzini, Gianmarco 2 2008 High-order IMDEX-RK finite volume methods for multidimensional hyperbolic systems. Zbl 1043.65097Bertolazzi, E.; Manzini, G. 2 2003 Parallel implementations of 2D explicit Euler solvers. Zbl 0840.76049Giraud, L.; Manzini, G. 2 1996 A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco 1 2019 SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations. Zbl 1440.65182Berrone, S.; Borio, A.; Manzini, G. 1 2018 Virtual element methods for elliptic problems on polygonal meshes. Zbl 1448.65220Cangiani, Andrea; Sutton, Oliver J.; Gyrya, Vitaliy; Manzini, Gianmarco 1 2018 Discretization of mixed formulations of elliptic problems on polyhedral meshes. Zbl 1357.65233Lipnikov, Konstantin; Manzini, Gianmarco 1 2016 Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations. Zbl 1241.65084Mazzia, Annamaria; Manzini, Gianmarco; Putti, Mario 1 2011 An efficient and conservative hybrid method for solving multidimensional conservation laws. Zbl 1183.65104Manzini, Gianmarco 1 2009 A second-order TVD implicit-explicit finite volume method for time-dependent convection-reaction equations. Zbl 1180.65110Manzini, Gianmarco 1 2009 A network programming approach in solving Darcy’s equations by mixed finite-element methods. Zbl 1112.65023Arioli, M.; Manzini, G. 1 2006 A mixed finite element solver for liquid-liquid impacts. Zbl 1053.76036Bertolazzi, Enrico; Manzini, Gianmarco 1 2004 P2MESH: An extensible set of generic classes for PDE solvers on 2-D unstructured meshes. Zbl 0980.65143Bertolazzi, E.; Manzini, G. 1 2000 The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe 8 2019 A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076Beirão da Veiga, L.; Manzini, G.; Mascotto, L. 3 2019 Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N. 2 2019 A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco 1 2019 The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090Antonietti, P. F.; Manzini, G.; Verani, M. 26 2018 Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco 13 2018 The virtual element method for eigenvalue problems with potential terms on polytopic meshes. Zbl 06945736Čertík, Ondřej; Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe 10 2018 SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations. Zbl 1440.65182Berrone, S.; Borio, A.; Manzini, G. 1 2018 Virtual element methods for elliptic problems on polygonal meshes. Zbl 1448.65220Cangiani, Andrea; Sutton, Oliver J.; Gyrya, Vitaliy; Manzini, Gianmarco 1 2018 Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J. 45 2017 Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M. 2 2017 Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118Manzini, G.; Funaro, D.; Delzanno, G. L. 2 2017 The nonconforming virtual element method. Zbl 1343.65140Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco 69 2016 The nonconforming virtual element method for the Stokes equations. Zbl 1426.76230Cangiani, Andrea; Gyrya, Vitaliy; Manzini, Gianmarco 37 2016 The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail 13 2016 The arbitrary order mixed mimetic finite difference method for the diffusion equation. Zbl 1342.65202Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco 10 2016 A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system. Zbl 1349.76572Manzini, G.; Delzanno, G. L.; Vencels, J.; Markidis, S. 5 2016 Discretization of mixed formulations of elliptic problems on polyhedral meshes. Zbl 1357.65233Lipnikov, Konstantin; Manzini, Gianmarco 1 2016 Hourglass stabilization and the virtual element method. Zbl 1352.65475Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N. 24 2015 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056Beirão da Veiga, L.; Manzini, G. 22 2015 Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario 4 2015 Mimetic finite difference method. Zbl 1352.65420Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail 115 2014 The mimetic finite difference method for elliptic problems. Zbl 1286.65141Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco 99 2014 New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322Manzini, Gianmarco; Russo, Alessandro; Sukumar, N. 52 2014 A virtual element method with arbitrary regularity. Zbl 1293.65146Beirão da Veiga, Lourenco; Manzini, Gianmarco 52 2014 A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. Zbl 1349.65581Lipnikov, K.; Manzini, G. 22 2014 Mimetic scalar products of discrete differential forms. Zbl 1352.65417Brezzi, F.; Buffa, A.; Manzini, G. 19 2014 M-adaptation in the mimetic finite difference method. Zbl 1291.65320Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil 10 2014 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317Bellomo, N.; Brezzi, F.; Manzini, G. 5 2014 Basic principles of virtual element methods. Zbl 1416.65433Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. 304 2013 The discrete duality finite volume method for Stokes equations on three-dimensional polyhedral meshes. Zbl 1387.65113Krell, Stella; Manzini, Gianmarco 10 2012 Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 48 2011 Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. Zbl 1218.65117Lipnikov, K.; Manzini, G.; Svyatskiy, D. 31 2011 The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. 28 2011 A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. Zbl 1263.65102Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco 24 2011 Convergence of the mimetic finite difference method for eigenvalue problems in mixed form. Zbl 1225.65106Cangiani, Andrea; Gardini, Francesca; Manzini, Gianmarco 19 2011 Monotonicity conditions in the mimetic finite difference method. Zbl 1246.65203Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil 5 2011 Benchmark 3D: the cell-centered finite volume method using least squares vertex reconstruction (“Diamond scheme”). Zbl 1246.76049Coudière, Yves; Manzini, Gianmarco 2 2011 A cevefe DDFV scheme for discontinuous anisotropic permeability tensors. Zbl 1246.76075Coudière, Yves; Hubert, Florence; Manzini, Gianmarco 2 2011 Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations. Zbl 1241.65084Mazzia, Annamaria; Manzini, Gianmarco; Putti, Mario 1 2011 Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 22 2010 The discrete duality finite volume method for convection-diffusion problems. Zbl 1210.65183Coudière, Yves; Manzini, Gianmarco 21 2010 Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. 44 2009 Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. 43 2009 Convergence analysis of the mimetic finite difference method for elliptic problems. Zbl 1204.65128Cangiani, Andrea; Manzini, Gianmarco; Russo, Alessandro 31 2009 An efficient and conservative hybrid method for solving multidimensional conservation laws. Zbl 1183.65104Manzini, Gianmarco 1 2009 A second-order TVD implicit-explicit finite volume method for time-dependent convection-reaction equations. Zbl 1180.65110Manzini, Gianmarco 1 2009 Flux reconstruction and solution post-processing in mimetic finite difference methods. Zbl 1169.76404Cangiani, Andrea; Manzini, Gianmarco 35 2008 A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201Beirão da Veiga, Lourenço; Manzini, Gianmarco 31 2008 An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146Beirão da Veiga, Lourenço; Manzini, Gianmarco 29 2008 A finite volume method for advection-diffusion problems in convection-dominated regimes. Zbl 1159.76356Manzini, Gianmarco; Russo, Alessandro 26 2008 The mimetic finite difference method. Zbl 1422.65319Manzini, Gianmarco 3 2008 The mimetic finite difference method. Zbl 1422.65320Manzini, Gianmarco 2 2008 Efficient design of residual-based stabilization techniques for three fields domain decomposition method. Zbl 1153.65107Bertoluzza, Silvia; Falleta, Silvia; Manzini, Gianmarco 2 2008 On vertex reconstructions for cell-centered finite volume approximations of 2D anisotropic diffusion problems. Zbl 1119.65115Bertolazzi, Enrico; Manzini, Gianmarco 24 2007 Mesh locking effects in the finite volume solution of 2D anisotropic diffusion equations. Zbl 1109.65101Manzini, Gianmarco; Putti, Mario 20 2007 DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems. Zbl 1124.65073Bertolazzi, Enrico; Manzini, Gianmarco 3 2007 A network programming approach in solving Darcy’s equations by mixed finite-element methods. Zbl 1112.65023Arioli, M.; Manzini, G. 1 2006 A second-order maximum principle preserving finite volume method for steady convection-diffusion problems. Zbl 1145.65326Bertolazzi, Enrico; Manzini, Gianmarco 44 2005 A unified treatment of boundary conditions in least-square based finite-volume methods. Zbl 1082.65131Bertolazzi, E.; Manzini, G. 7 2005 A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes. Zbl 1079.65113Bertolazzi, Enrico; Manzini, Gianmarco 23 2004 Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation. Zbl 1053.65064Bertolazzi, Enrico; Manzini, Gianmarco 8 2004 Least square-based finite volumes for solving the advection-diffusion of contaminants in porous media. Zbl 1086.76045Bertolazzi, Enrico; Manzini, Gianmarco 6 2004 A finite volume method for transport of contaminants in porous media. Zbl 1146.76619Bertolazzi, Enrico; Manzini, Gianmarco 3 2004 A mixed finite element solver for liquid-liquid impacts. Zbl 1053.76036Bertolazzi, Enrico; Manzini, Gianmarco 1 2004 Null space algorithm and spanning trees in solving Darcy’s equation. Zbl 1046.65017Arioli, Mario; Manzini, Gianmarco 3 2003 High-order IMDEX-RK finite volume methods for multidimensional hyperbolic systems. Zbl 1043.65097Bertolazzi, E.; Manzini, G. 2 2003 Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers. Zbl 1070.65568Bertolazzi, Enrico; Manzini, Gianmarco 13 2002 A null space algorithm for mixed finite-element approximations of Darcy’s equation. Zbl 1073.76581Arioli, Mario; Manzini, Gianmarco 11 2002 A fully coupled numerical model for two-phase flow with contaminant transport and biodegradation kinetics. Zbl 1020.76052Gallo, Claudio; Manzini, Gianmarco 5 2001 A triangle-based unstructured finite volume method for chemically reactive hypersonic flows. Zbl 0985.76058Bertolazzi, Enrico; Manzini, Gianmarco 5 2001 Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A. 139 2000 P2MESH: An extensible set of generic classes for PDE solvers on 2-D unstructured meshes. Zbl 0980.65143Bertolazzi, E.; Manzini, G. 1 2000 A mixed finite element–finite volume formulation of the black-oil model. Zbl 0959.76039Bergamaschi, Luca; Mantica, Stefano; Manzini, Gianmarco 16 1999 A mixed finite element/finite volume approach for solving biodegradation transport in groundwater. Zbl 0927.76048Gallo, Claudio; Manzini, Gianmarco 5 1998 Fast-secant algorithms for the nonlinear Richards equation. Zbl 0927.76046Fassino, Claudia; Manzini, Gianmarco 4 1998 Parallel implementations of 2D explicit Euler solvers. Zbl 0840.76049Giraud, L.; Manzini, G. 2 1996 all cited Publications top 5 cited Publications all top 5 Cited by 1,086 Authors 50 Manzini, Gianmarco 45 Beirão da Veiga, Lourenço 27 Antonietti, Paola Francesca 26 Di Pietro, Daniele Antonio 25 Russo, Alessandro 22 Brezzi, Franco 20 Lipnikov, Konstantin N. 18 Droniou, Jérôme 18 Ern, Alexandre 17 Yuan, Guangwei 15 Marini, Luisa Donatella 15 Verani, Marco 14 Ye, Xiu 13 Bassi, Francesco 12 Vacca, Giuseppe 11 Dassi, Franco 11 Mora, David 11 Mu, Lin 10 Bertolazzi, Enrico 10 Mascotto, Lorenzo 10 Wu, Jiming 9 Cangiani, Andrea 9 Colombo, Alessandro G. 9 Lovadina, Carlo 9 Shashkov, Mikhail J. 9 Sheng, Zhiqiang 9 Weißer, Steffen 8 Artioli, Edoardo 8 Berrone, Stefano 8 Bochev, Pavel B. 8 Botti, Lorenzo 8 Crivellini, Andrea 8 Gudi, Thirupathi 8 Gyrya, Vitaliy T. 8 Paulino, Glaucio H. 8 Wang, Junping 8 Zhang, Shangyou 7 Chen, Zhangxin 7 Gao, Zhiming 7 Houston, Paul 7 Ma, Changfeng 7 Natarajan, Sundararajan 7 Pieraccini, Sandra 7 Putti, Mario 7 Scialò, Stefano 7 Sukumar, Natarajan 7 Svyatskiy, Daniil 7 van der Vegt, Jaap J. W. 7 Zhao, Jikun 7 Zhao, Lina 6 Bertoluzza, Silvia 6 Chen, Long 6 Chen, Shaochun 6 Feng, Minfu 6 Gatica, Gabriel N. 6 Ghidoni, Antonio 6 Han, Weimin 6 Hu, Xiaozhe 6 Huang, Jianguo 6 Mei, Liquan 6 Park, Eun-Jae 6 Sequeira, Filánder A. 6 Wriggers, Peter 6 Zhang, Bei 5 Benedetto, Matías Fernando 5 Borio, Andrea 5 Chung, Tsz Shun Eric 5 Clain, Stéphane Louis 5 Cockburn, Bernardo 5 Eymard, Robert 5 Georgoulis, Emmanuil H. 5 Huang, Na 5 Moulton, J. David 5 Perugia, Ilaria 5 Rivera, Gonzalo 5 Talischi, Cameron 5 Trask, Nathaniel 5 Vassilevski, Yuri V. 5 Wang, Fei 4 Ardelyan, N. V. 4 Brenner, Susanne Cecelia 4 Buffa, Annalisa 4 Cicuttin, Matteo 4 Feistauer, Miloslav 4 Gerritsma, Marc I. 4 Giani, Stefano 4 Huang, Xuehai 4 Hudobivnik, Blaž 4 Hughes, Thomas J. R. 4 Kannan, Ravishekar 4 Kosmachevskii, K. V. 4 Krell, Stella 4 Lai, Mingjun 4 Lew, Adrian J. 4 Marini, Luisa Donatelia 4 Massa, Francesco Carlo 4 Mazzia, Annamaria 4 Meng, Jian 4 Nataraj, Neela 4 Ooi, Ean Tat ...and 986 more Authors all top 5 Cited in 91 Serials 114 Journal of Computational Physics 73 Computer Methods in Applied Mechanics and Engineering 55 Computers & Mathematics with Applications 40 Journal of Scientific Computing 37 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 28 Journal of Computational and Applied Mathematics 27 SIAM Journal on Scientific Computing 26 SIAM Journal on Numerical Analysis 24 Computers and Fluids 24 Applied Numerical Mathematics 21 Numerische Mathematik 19 Numerical Methods for Partial Differential Equations 17 Mathematics of Computation 16 International Journal for Numerical Methods in Engineering 16 Computational Mechanics 14 Applied Mathematics and Computation 14 Calcolo 10 Computational Geosciences 9 Computational Methods in Applied Mathematics 7 Mathematics and Computers in Simulation 6 Numerical Algorithms 6 Advances in Computational Mathematics 6 Engineering Analysis with Boundary Elements 5 Applied Mathematics Letters 4 International Journal for Numerical Methods in Fluids 4 Moscow University Computational Mathematics and Cybernetics 4 Computer Aided Geometric Design 4 Applied Mathematical Modelling 4 Communications in Numerical Methods in Engineering 4 Mathematical Problems in Engineering 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 GEM - International Journal on Geomathematics 2 Applicable Analysis 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 ACM Transactions on Mathematical Software 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 Computational Mathematics and Modeling 2 Computational and Applied Mathematics 2 Foundations of Computational Mathematics 2 Multiscale Modeling & Simulation 2 International Journal of Computational Methods 2 International Journal of Numerical Analysis and Modeling 2 International Journal for Numerical Methods in Biomedical Engineering 2 Electronic Research Archive 2 Results in Applied Mathematics 1 Acta Mechanica 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Chaos, Solitons and Fractals 1 Computing 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Calculus of Variations and Partial Differential Equations 1 Numerical Linear Algebra with Applications 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 ETNA. Electronic Transactions on Numerical Analysis 1 Vietnam Journal of Mathematics 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Acta Numerica 1 Journal of Computational Acoustics 1 Communications in Applied Mathematics and Computational Science 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Geosciences 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Afrika Matematika 1 ISRN Mathematical Physics 1 Communications in Mathematics and Statistics 1 East Asian Journal on Applied Mathematics 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 34 Fields 664 Numerical analysis (65-XX) 282 Partial differential equations (35-XX) 258 Fluid mechanics (76-XX) 121 Mechanics of deformable solids (74-XX) 20 Geophysics (86-XX) 18 Optics, electromagnetic theory (78-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 8 Potential theory (31-XX) 8 Biology and other natural sciences (92-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year