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Manzini, Gianmarco

Co-Author Distance
Author ID: manzini.gianmarco Recent zbMATH articles by "Manzini, Gianmarco"
Published as: Manzini, Gianmarco; Manzini, G.; Manzini, Gianmarci
External Links: ORCID
Documents Indexed: 132 Publications since 1996, including 1 Book and 5 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 95 Co-Authors with 128 Joint Publications
1,958 Co-Co-Authors
all top 5

Co-Authors

5 single-authored
18 Beirão da Veiga, Lourenço
17 Lipnikov, Konstantin N.
16 Bertolazzi, Enrico
8 Cangiani, Andrea
8 Gyrya, Vitaliy T.
7 Adak, Dibyendu
7 Antonietti, Paola Francesca
6 Funaro, Daniele
6 Putti, Mario
6 Russo, Alessandro
6 Verani, Marco
5 Biasotti, Silvia
5 Brezzi, Franco
5 Sorgente, Tommaso
5 Spagnuolo, Michela
5 Sukumar, Natarajan
4 Alexandrov, Boian S.
4 Coudière, Yves
4 Delzanno, Gian Luca
4 Droniou, Jérôme
4 Fatone, Lorella
4 Gardini, Francesca
4 Mascotto, Lorenzo
4 Mazzia, Annamaria
4 Mourad, Hashem M.
3 Arioli, Mario
3 Berrone, Stefano
3 Bertoluzza, Silvia
3 Bokil, Vrushali A.
3 Čertík, Ondřej
3 Dassi, Franco
3 Gallo, Claudio
3 Natarajan, Sundararajan
3 Scacchi, Simone
3 Shashkov, Mikhail J.
3 Svolos, Lampros
3 Svyatsky, Daniil
3 Truong, Duc P.
3 Vacca, Giuseppe
2 Benvenuti, Elena
2 Boureima, Ismael
2 Buffa, Annalisa
2 Chiozzi, Andrea
2 Hubert, Florence
2 Koshkarov, Oleksandr
2 Maguolo, Gianluca
2 Marini, Luisa Donatella
2 Mazzieri, Ilario
2 Moulton, J. David
2 Pagliantini, Cecilia
2 Pennacchio, Micol
2 Plohr, Jeeyeon N.
2 Prada, Daniele
2 Rasmussen, Kim Ø.
2 Roytershteyn, V.
2 Skau, Erik W.
2 Sutton, Oliver J.
2 Vicini, Fabio
1 Alvarez, S. Naranjo
1 Ayuso de Dios, Blanca
1 Bachini, Elena
1 Bellomo, Nicola
1 Bergamaschi, Luca
1 Borio, Andrea
1 Cabiddu, Daniela
1 Cancès, Clément
1 Collins, Lee A.
1 DeSantis, Derek F.
1 Di Pietro, Daniele Antonio
1 Falletta, Silvia
1 Fassino, Claudia
1 Fernando, Isuru
1 Garikipati, Krishna
1 Giraud, Luc
1 Goswami, Rohit
1 Guichard, Cindy
1 Krell, Stella
1 Leng, Yu
1 Mantica, Stefano
1 Markidis, Stefano
1 Mazet, Sylvain
1 Naranjo Álvarez, Sebastián
1 Olivares, Manuela Bastidas
1 Ortega, Mario I.
1 Pask, John Ernest
1 Patané, Giuseppe
1 Pietra, Paola
1 Pop, Iuliu Sorin
1 Tokareva, Svetlana A.
1 Truong, P. M. D.
1 Vackář, Jiří
1 Vangara, Raviteja
1 Vencels, Juris
1 Vuchkov, Radoslav G.
1 Yemm, Liam T.
all top 5

Serials

15 Journal of Computational Physics
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 SIAM Journal on Numerical Analysis
8 Computer Methods in Applied Mechanics and Engineering
7 Computers & Mathematics with Applications
5 Mathematics and Computers in Simulation
5 Applied Numerical Mathematics
5 Journal of Scientific Computing
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Communications in Numerical Methods in Engineering
3 Computer Physics Communications
3 IMA Journal of Numerical Analysis
3 International Journal for Numerical Methods in Engineering
3 Numerical Methods for Partial Differential Equations
2 International Journal for Numerical Methods in Fluids
2 Calcolo
2 Numerische Mathematik
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 Software. Practice & Experience
1 Mathematical and Computer Modelling
1 Applications of Mathematics
1 Numerical Linear Algebra with Applications
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Far East Journal of Applied Mathematics
1 MS&A. Modeling, Simulation and Applications
1 Journal of Computational Dynamics
1 SEMA SIMAI Springer Series
1 Mathematics in Engineering
1 Communications on Applied Mathematics and Computation
all top 5

Fields

106 Numerical analysis (65-XX)
57 Partial differential equations (35-XX)
46 Fluid mechanics (76-XX)
10 Mechanics of deformable solids (74-XX)
5 Geophysics (86-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Computer science (68-XX)
4 Optics, electromagnetic theory (78-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Special functions (33-XX)
3 Approximations and expansions (41-XX)
1 General and overarching topics; collections (00-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

109 Publications have been cited 3,850 times in 1,560 Documents Cited by ▼ Year ▼
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
788
2013
Mimetic finite difference method. Zbl 1352.65420
Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail
220
2014
The mimetic finite difference method for elliptic problems. Zbl 1286.65141
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco
214
2014
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
191
2016
Discontinuous Galerkin approximations for elliptic problems. Zbl 0957.65099
Brezzi, F.; Manzini, G.; Marini, D.; Pietra, P.; Russo, A.
179
2000
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
175
2017
The nonconforming virtual element method for the Stokes equations. Zbl 1426.76230
Cangiani, Andrea; Gyrya, Vitaliy; Manzini, Gianmarco
114
2016
The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090
Antonietti, P. F.; Manzini, G.; Verani, M.
99
2018
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
98
2014
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
84
2014
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
76
2011
A second-order maximum principle preserving finite volume method for steady convection-diffusion problems. Zbl 1145.65326
Bertolazzi, Enrico; Manzini, Gianmarco
75
2005
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
70
2015
Hourglass stabilization and the virtual element method. Zbl 1352.65475
Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N.
65
2015
Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032
Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G.
58
2009
Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
49
2009
SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations. Zbl 1440.65182
Berrone, S.; Borio, A.; Manzini, G.
45
2018
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041
Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A.
43
2011
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
43
2019
A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes. Zbl 1079.65113
Bertolazzi, Enrico; Manzini, Gianmarco
41
2004
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414
Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco
40
2018
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. Zbl 1218.65117
Lipnikov, K.; Manzini, G.; Svyatskiy, D.
38
2011
Convergence analysis of the mimetic finite difference method for elliptic problems. Zbl 1204.65128
Cangiani, Andrea; Manzini, Gianmarco; Russo, Alessandro
37
2009
A finite volume method for advection-diffusion problems in convection-dominated regimes. Zbl 1159.76356
Manzini, Gianmarco; Russo, Alessandro
37
2008
Flux reconstruction and solution post-processing in mimetic finite difference methods. Zbl 1169.76404
Cangiani, Andrea; Manzini, Gianmarco
36
2008
The virtual element method for eigenvalue problems with potential terms on polytopic meshes. Zbl 1488.65196
Čertík, Ondřej; Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
36
2018
The conforming virtual element method for polyharmonic problems. Zbl 1452.65320
Antonietti, Paola F.; Manzini, G.; Verani, Marco
36
2020
An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146
Beirão da Veiga, Lourenço; Manzini, Gianmarco
33
2008
Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
33
2010
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. Zbl 1263.65102
Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco
33
2011
The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems. Zbl 1452.65326
Čertík, O.; Gardini, Francesca; Manzini, G.; Mascotto, Lorenzo; Vacca, Giuseppe
33
2020
On vertex reconstructions for cell-centered finite volume approximations of 2D anisotropic diffusion problems. Zbl 1119.65115
Bertolazzi, Enrico; Manzini, Gianmarco
32
2007
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. Zbl 1349.65581
Lipnikov, K.; Manzini, G.
31
2014
Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
31
2019
A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201
Beirão da Veiga, Lourenço; Manzini, Gianmarco
31
2008
The discrete duality finite volume method for convection-diffusion problems. Zbl 1210.65183
Coudière, Yves; Manzini, Gianmarco
30
2010
A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076
Beirão da Veiga, L.; Manzini, G.; Mascotto, L.
27
2019
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
26
2014
Mesh locking effects in the finite volume solution of 2D anisotropic diffusion equations. Zbl 1109.65101
Manzini, Gianmarco; Putti, Mario
26
2007
Virtual elements for Maxwell’s equations. Zbl 1493.65191
Beirão da Veiga, L.; Dassi, F.; Manzini, G.; Mascotto, L.
26
2022
A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system. Zbl 1349.76572
Manzini, G.; Delzanno, G. L.; Vencels, J.; Markidis, S.
24
2016
Convergence of the mimetic finite difference method for eigenvalue problems in mixed form. Zbl 1225.65106
Cangiani, Andrea; Gardini, Francesca; Manzini, Gianmarco
24
2011
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315
Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail
21
2016
A mixed finite element–finite volume formulation of the black-oil model. Zbl 0959.76039
Bergamaschi, Luca; Mantica, Stefano; Manzini, Gianmarco
21
1999
The arbitrary-order virtual element method for linear elastodynamics models: convergence, stability and dispersion-dissipation analysis. Zbl 07863099
Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Mourad, Hashem M.; Verani, Marco
20
2021
The role of mesh quality and mesh quality indicators in the virtual element method. Zbl 1491.65151
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M.
17
2022
The discrete duality finite volume method for Stokes equations on three-dimensional polyhedral meshes. Zbl 1387.65113
Krell, Stella; Manzini, Gianmarco
16
2012
A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. Zbl 1478.65110
Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco
16
2021
The virtual element method and its applications. Zbl 1497.65005
16
2022
M-adaptation in the mimetic finite difference method. Zbl 1291.65320
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
15
2014
A null space algorithm for mixed finite-element approximations of Darcy’s equation. Zbl 1073.76581
Arioli, Mario; Manzini, Gianmarco
14
2002
Extended virtual element method for two-dimensional linear elastic fracture. Zbl 1507.74452
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
14
2022
Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215
Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario
13
2015
Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321
Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M.
13
2017
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
12
2017
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
12
2014
The arbitrary order mixed mimetic finite difference method for the diffusion equation. Zbl 1342.65202
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco
11
2016
Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers. Zbl 1070.65568
Bertolazzi, Enrico; Manzini, Gianmarco
10
2002
The virtual element method for resistive magnetohydrodynamics. Zbl 1506.76062
Alvarez, S. Naranjo; Bokil, V.; Gyrya, V.; Manzini, G.
10
2021
Polyhedral mesh quality indicator for the virtual element method. Zbl 1524.65860
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M.
9
2022
Stabilization of the nonconforming virtual element method. Zbl 1524.65757
Bertoluzza, S.; Manzini, G.; Pennacchio, M.; Prada, D.
9
2022
Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation. Zbl 1053.65064
Bertolazzi, Enrico; Manzini, Gianmarco
8
2004
A unified treatment of boundary conditions in least-square based finite-volume methods. Zbl 1082.65131
Bertolazzi, E.; Manzini, G.
8
2005
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. Zbl 1451.65155
Fatone, L.; Funaro, D.; Manzini, G.
8
2019
A cevefe DDFV scheme for discontinuous anisotropic permeability tensors. Zbl 1246.76075
Coudière, Yves; Hubert, Florence; Manzini, Gianmarco
7
2011
Least square-based finite volumes for solving the advection-diffusion of contaminants in porous media. Zbl 1086.76045
Bertolazzi, Enrico; Manzini, Gianmarco
7
2004
A mixed finite element/finite volume approach for solving biodegradation transport in groundwater. Zbl 0927.76048
Gallo, Claudio; Manzini, Gianmarco
6
1998
A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
6
2019
The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. Zbl 1527.76047
Koshkarov, O.; Manzini, G.; Delzanno, G. L.; Pagliantini, C.; Roytershteyn, V.
6
2021
Fast-secant algorithms for the nonlinear Richards equation. Zbl 0927.76046
Fassino, Claudia; Manzini, Gianmarco
5
1998
Null space algorithm and spanning trees in solving Darcy’s equation. Zbl 1046.65017
Arioli, Mario; Manzini, Gianmarco
5
2003
Monotonicity conditions in the mimetic finite difference method. Zbl 1246.65203
Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
5
2011
A triangle-based unstructured finite volume method for chemically reactive hypersonic flows. Zbl 0985.76058
Bertolazzi, Enrico; Manzini, Gianmarco
5
2001
A fully coupled numerical model for two-phase flow with contaminant transport and biodegradation kinetics. Zbl 1020.76052
Gallo, Claudio; Manzini, Gianmarco
5
2001
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. Zbl 1492.65324
Manzini, Gianmarco; Mazzia, Annamaria
5
2022
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces. Zbl 1477.65188
Bachini, Elena; Manzini, Gianmarco; Putti, Mario
4
2021
Virtual element methods for elliptic problems on polygonal meshes. Zbl 1448.65220
Cangiani, Andrea; Sutton, Oliver J.; Gyrya, Vitaliy; Manzini, Gianmarco
3
2018
A finite volume method for transport of contaminants in porous media. Zbl 1146.76619
Bertolazzi, Enrico; Manzini, Gianmarco
3
2004
A network programming approach in solving Darcy’s equations by mixed finite-element methods. Zbl 1112.65023
Arioli, M.; Manzini, G.
3
2006
DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems. Zbl 1124.65073
Bertolazzi, Enrico; Manzini, Gianmarco
3
2007
The mimetic finite difference method. Zbl 1422.65319
Manzini, Gianmarco
3
2008
Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations. Zbl 07700419
Pagliantini, C.; Manzini, G.; Koshkarov, O.; Delzanno, G. L.; Roytershteyn, V.
3
2023
The virtual element method for the 3D resistive magnetohydrodynamic model. Zbl 1514.76049
Beirão da Veiga, Lourenço; Dassi, Franco; Manzini, Gianmarci; Mascotto, Lorenzo
3
2023
Conforming virtual element approximations of the two-dimensional Stokes problem. Zbl 1502.65212
Manzini, Gianmarco; Mazzia, Annamaria
3
2022
Virtual element approximation of two-dimensional parabolic variational inequalities. Zbl 1524.65500
Adak, D.; Manzini, G.; Natarajan, S.
3
2022
VEM and the mesh. Zbl 1503.65301
Sorgente, Tommaso; Prada, Daniele; Cabiddu, Daniela; Biasotti, Silvia; Patanè, Giuseppe; Pennacchio, Micol; Bertoluzza, Silvia; Manzini, Gianmarco; Spagnuolo, Michela
3
2022
Parallel implementations of 2D explicit Euler solvers. Zbl 0840.76049
Giraud, L.; Manzini, G.
2
1996
High-order IMDEX-RK finite volume methods for multidimensional hyperbolic systems. Zbl 1043.65097
Bertolazzi, E.; Manzini, G.
2
2003
Nonnegative tensor-train low-rank approximations of the Smoluchowski coagulation equation. Zbl 07511653
Manzini, Gianmarco; Skau, Erik; Truong, Duc P.; Vangara, Raviteja
2
2022
Discretization of mixed formulations of elliptic problems on polyhedral meshes. Zbl 1357.65233
Lipnikov, Konstantin; Manzini, Gianmarco
2
2016
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. Zbl 1486.65193
Funaro, Daniele; Manzini, Gianmarco
2
2021
On the use of Hermite functions for the Vlasov-Poisson system. Zbl 1484.65247
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
2
2020
Benchmark 3D: Cevefe-DDFV, a discrete duality scheme with cell/vertex/face+edge unknowns. Zbl 1246.76048
Coudière, Yves; Hubert, Florence; Manzini, Gianmarco
2
2011
Benchmark 3D: the cell-centered finite volume method using least squares vertex reconstruction (“Diamond scheme”). Zbl 1246.76049
Coudière, Yves; Manzini, Gianmarco
2
2011
Efficient design of residual-based stabilization techniques for three fields domain decomposition method. Zbl 1153.65107
Bertoluzza, Silvia; Falletta, Silvia; Manzini, Gianmarco
2
2008
The conforming virtual element method for polyharmonic and elastodynamics problems: a review. Zbl 1503.65215
Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Scacchi, Simone; Verani, Marco
2
2022
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations. Zbl 1490.65297
Fatone, L.; Funaro, D.; Manzini, G.
2
2022
Benchmark 3D: mimetic finite difference method for generalized polyhedral meshes. Zbl 1246.76115
Lipnikov, Konstantin; Manzini, Gianmarco
1
2011
P2MESH: An extensible set of generic classes for PDE solvers on 2-D unstructured meshes. Zbl 0980.65143
Bertolazzi, E.; Manzini, G.
1
2000
Finite volume/mixed finite element analysis of pollutant transport and bioremediation in heterogeneous saturated aquifers. Zbl 1055.76034
Gallo, Claudio; Manzini, Gianmarco
1
2003
Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations. Zbl 07700419
Pagliantini, C.; Manzini, G.; Koshkarov, O.; Delzanno, G. L.; Roytershteyn, V.
3
2023
The virtual element method for the 3D resistive magnetohydrodynamic model. Zbl 1514.76049
Beirão da Veiga, Lourenço; Dassi, Franco; Manzini, Gianmarci; Mascotto, Lorenzo
3
2023
The virtual element method for a 2D incompressible MHD system. Zbl 1540.76096
Naranjo-Alvarez, S.; Beirão da Veiga, L.; Bokil, V. A.; Dassi, F.; Gyrya, V.; Manzini, G.
1
2023
The tensor-train mimetic finite difference method for three-dimensional Maxwell’s wave propagation equations. Zbl 1540.78028
Manzini, G.; Truong, P. M. D.; Vuchkov, R.; Alexandrov, B.
1
2023
The nonconforming virtual element method for Oseen’s equation using a stream-function formulation. Zbl 1531.65227
Adak, Dibyendu; Manzini, Gianmarco
1
2023
Virtual elements for Maxwell’s equations. Zbl 1493.65191
Beirão da Veiga, L.; Dassi, F.; Manzini, G.; Mascotto, L.
26
2022
The role of mesh quality and mesh quality indicators in the virtual element method. Zbl 1491.65151
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M.
17
2022
The virtual element method and its applications. Zbl 1497.65005
16
2022
Extended virtual element method for two-dimensional linear elastic fracture. Zbl 1507.74452
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
14
2022
Polyhedral mesh quality indicator for the virtual element method. Zbl 1524.65860
Sorgente, T.; Biasotti, S.; Manzini, G.; Spagnuolo, M.
9
2022
Stabilization of the nonconforming virtual element method. Zbl 1524.65757
Bertoluzza, S.; Manzini, G.; Pennacchio, M.; Prada, D.
9
2022
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. Zbl 1492.65324
Manzini, Gianmarco; Mazzia, Annamaria
5
2022
Conforming virtual element approximations of the two-dimensional Stokes problem. Zbl 1502.65212
Manzini, Gianmarco; Mazzia, Annamaria
3
2022
Virtual element approximation of two-dimensional parabolic variational inequalities. Zbl 1524.65500
Adak, D.; Manzini, G.; Natarajan, S.
3
2022
VEM and the mesh. Zbl 1503.65301
Sorgente, Tommaso; Prada, Daniele; Cabiddu, Daniela; Biasotti, Silvia; Patanè, Giuseppe; Pennacchio, Micol; Bertoluzza, Silvia; Manzini, Gianmarco; Spagnuolo, Michela
3
2022
Nonnegative tensor-train low-rank approximations of the Smoluchowski coagulation equation. Zbl 07511653
Manzini, Gianmarco; Skau, Erik; Truong, Duc P.; Vangara, Raviteja
2
2022
The conforming virtual element method for polyharmonic and elastodynamics problems: a review. Zbl 1503.65215
Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Scacchi, Simone; Verani, Marco
2
2022
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations. Zbl 1490.65297
Fatone, L.; Funaro, D.; Manzini, G.
2
2022
The arbitrary-order virtual element method for linear elastodynamics models: convergence, stability and dispersion-dissipation analysis. Zbl 07863099
Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Mourad, Hashem M.; Verani, Marco
20
2021
A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations. Zbl 1478.65110
Antonietti, Paola F.; Manzini, Gianmarco; Scacchi, Simone; Verani, Marco
16
2021
The virtual element method for resistive magnetohydrodynamics. Zbl 1506.76062
Alvarez, S. Naranjo; Bokil, V.; Gyrya, V.; Manzini, G.
10
2021
The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. Zbl 1527.76047
Koshkarov, O.; Manzini, G.; Delzanno, G. L.; Pagliantini, C.; Roytershteyn, V.
6
2021
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces. Zbl 1477.65188
Bachini, Elena; Manzini, Gianmarco; Putti, Mario
4
2021
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. Zbl 1486.65193
Funaro, Daniele; Manzini, Gianmarco
2
2021
The conforming virtual element method for polyharmonic problems. Zbl 1452.65320
Antonietti, Paola F.; Manzini, G.; Verani, Marco
36
2020
The \(p\)- and \(hp\)-versions of the virtual element method for elliptic eigenvalue problems. Zbl 1452.65326
Čertík, O.; Gardini, Francesca; Manzini, G.; Mascotto, Lorenzo; Vacca, Giuseppe
33
2020
On the use of Hermite functions for the Vlasov-Poisson system. Zbl 1484.65247
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
2
2020
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
43
2019
Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
31
2019
A posteriori error estimation and adaptivity in hp virtual elements. Zbl 1428.65076
Beirão da Veiga, L.; Manzini, G.; Mascotto, L.
27
2019
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. Zbl 1451.65155
Fatone, L.; Funaro, D.; Manzini, G.
8
2019
A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco
6
2019
The high-order mixed mimetic finite difference method for time-dependent diffusion problems. Zbl 1428.65013
Manzini, Gianmarco; Maguolo, Gianluca; Putti, Mario
1
2019
The fully nonconforming virtual element method for biharmonic problems. Zbl 1381.65090
Antonietti, P. F.; Manzini, G.; Verani, M.
99
2018
SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations. Zbl 1440.65182
Berrone, S.; Borio, A.; Manzini, G.
45
2018
Discontinuous skeletal gradient discretisation methods on polytopal meshes. Zbl 1380.65414
Di Pietro, Daniele A.; Droniou, Jérôme; Manzini, Gianmarco
40
2018
The virtual element method for eigenvalue problems with potential terms on polytopic meshes. Zbl 1488.65196
Čertík, Ondřej; Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
36
2018
Virtual element methods for elliptic problems on polygonal meshes. Zbl 1448.65220
Cangiani, Andrea; Sutton, Oliver J.; Gyrya, Vitaliy; Manzini, Gianmarco
3
2018
Conforming and nonconforming virtual element methods for elliptic problems. Zbl 1433.65282
Cangiani, Andrea; Manzini, Gianmarco; Sutton, Oliver J.
175
2017
Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321
Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M.
13
2017
Convergence of spectral discretizations of the Vlasov-Poisson system. Zbl 1375.65118
Manzini, G.; Funaro, D.; Delzanno, G. L.
12
2017
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
191
2016
The nonconforming virtual element method for the Stokes equations. Zbl 1426.76230
Cangiani, Andrea; Gyrya, Vitaliy; Manzini, Gianmarco
114
2016
A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system. Zbl 1349.76572
Manzini, G.; Delzanno, G. L.; Vencels, J.; Markidis, S.
24
2016
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315
Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail
21
2016
The arbitrary order mixed mimetic finite difference method for the diffusion equation. Zbl 1342.65202
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco
11
2016
Discretization of mixed formulations of elliptic problems on polyhedral meshes. Zbl 1357.65233
Lipnikov, Konstantin; Manzini, Gianmarco
2
2016
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
70
2015
Hourglass stabilization and the virtual element method. Zbl 1352.65475
Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N.
65
2015
Post processing of solution and flux for the nodal mimetic finite difference method. Zbl 1317.65215
Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario
13
2015
Mimetic finite difference method. Zbl 1352.65420
Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail
220
2014
The mimetic finite difference method for elliptic problems. Zbl 1286.65141
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco
214
2014
A virtual element method with arbitrary regularity. Zbl 1293.65146
Beirão da Veiga, Lourenco; Manzini, Gianmarco
98
2014
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
84
2014
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. Zbl 1349.65581
Lipnikov, K.; Manzini, G.
31
2014
Mimetic scalar products of discrete differential forms. Zbl 1352.65417
Brezzi, F.; Buffa, A.; Manzini, G.
26
2014
M-adaptation in the mimetic finite difference method. Zbl 1291.65320
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
15
2014
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
12
2014
Basic principles of virtual element methods. Zbl 1416.65433
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A.
788
2013
The discrete duality finite volume method for Stokes equations on three-dimensional polyhedral meshes. Zbl 1387.65113
Krell, Stella; Manzini, Gianmarco
16
2012
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
76
2011
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041
Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A.
43
2011
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. Zbl 1218.65117
Lipnikov, K.; Manzini, G.; Svyatskiy, D.
38
2011
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. Zbl 1263.65102
Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco
33
2011
Convergence of the mimetic finite difference method for eigenvalue problems in mixed form. Zbl 1225.65106
Cangiani, Andrea; Gardini, Francesca; Manzini, Gianmarco
24
2011
A cevefe DDFV scheme for discontinuous anisotropic permeability tensors. Zbl 1246.76075
Coudière, Yves; Hubert, Florence; Manzini, Gianmarco
7
2011
Monotonicity conditions in the mimetic finite difference method. Zbl 1246.65203
Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
5
2011
Benchmark 3D: Cevefe-DDFV, a discrete duality scheme with cell/vertex/face+edge unknowns. Zbl 1246.76048
Coudière, Yves; Hubert, Florence; Manzini, Gianmarco
2
2011
Benchmark 3D: the cell-centered finite volume method using least squares vertex reconstruction (“Diamond scheme”). Zbl 1246.76049
Coudière, Yves; Manzini, Gianmarco
2
2011
Benchmark 3D: mimetic finite difference method for generalized polyhedral meshes. Zbl 1246.76115
Lipnikov, Konstantin; Manzini, Gianmarco
1
2011
Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations. Zbl 1241.65084
Mazzia, Annamaria; Manzini, Gianmarco; Putti, Mario
1
2011
Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
33
2010
The discrete duality finite volume method for convection-diffusion problems. Zbl 1210.65183
Coudière, Yves; Manzini, Gianmarco
30
2010
Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032
Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G.
58
2009
Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
49
2009
Convergence analysis of the mimetic finite difference method for elliptic problems. Zbl 1204.65128
Cangiani, Andrea; Manzini, Gianmarco; Russo, Alessandro
37
2009
An efficient and conservative hybrid method for solving multidimensional conservation laws. Zbl 1183.65104
Manzini, Gianmarco
1
2009
A second-order TVD implicit-explicit finite volume method for time-dependent convection-reaction equations. Zbl 1180.65110
Manzini, Gianmarco
1
2009
A finite volume method for advection-diffusion problems in convection-dominated regimes. Zbl 1159.76356
Manzini, Gianmarco; Russo, Alessandro
37
2008
Flux reconstruction and solution post-processing in mimetic finite difference methods. Zbl 1169.76404
Cangiani, Andrea; Manzini, Gianmarco
36
2008
An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems. Zbl 1195.65146
Beirão da Veiga, Lourenço; Manzini, Gianmarco
33
2008
A higher-order formulation of the mimetic finite difference method. Zbl 1185.65201
Beirão da Veiga, Lourenço; Manzini, Gianmarco
31
2008
The mimetic finite difference method. Zbl 1422.65319
Manzini, Gianmarco
3
2008
Efficient design of residual-based stabilization techniques for three fields domain decomposition method. Zbl 1153.65107
Bertoluzza, Silvia; Falletta, Silvia; Manzini, Gianmarco
2
2008
The mimetic finite difference method. Zbl 1422.65320
Manzini, Gianmarco
1
2008
On vertex reconstructions for cell-centered finite volume approximations of 2D anisotropic diffusion problems. Zbl 1119.65115
Bertolazzi, Enrico; Manzini, Gianmarco
32
2007
Mesh locking effects in the finite volume solution of 2D anisotropic diffusion equations. Zbl 1109.65101
Manzini, Gianmarco; Putti, Mario
26
2007
DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems. Zbl 1124.65073
Bertolazzi, Enrico; Manzini, Gianmarco
3
2007
A network programming approach in solving Darcy’s equations by mixed finite-element methods. Zbl 1112.65023
Arioli, M.; Manzini, G.
3
2006
A second-order maximum principle preserving finite volume method for steady convection-diffusion problems. Zbl 1145.65326
Bertolazzi, Enrico; Manzini, Gianmarco
75
2005
A unified treatment of boundary conditions in least-square based finite-volume methods. Zbl 1082.65131
Bertolazzi, E.; Manzini, G.
8
2005
A cell-centered second-order accurate finite volume method for convection-diffusion problems on unstructured meshes. Zbl 1079.65113
Bertolazzi, Enrico; Manzini, Gianmarco
41
2004
Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation. Zbl 1053.65064
Bertolazzi, Enrico; Manzini, Gianmarco
8
2004
Least square-based finite volumes for solving the advection-diffusion of contaminants in porous media. Zbl 1086.76045
Bertolazzi, Enrico; Manzini, Gianmarco
7
2004
A finite volume method for transport of contaminants in porous media. Zbl 1146.76619
Bertolazzi, Enrico; Manzini, Gianmarco
3
2004
A mixed finite element solver for liquid-liquid impacts. Zbl 1053.76036
Bertolazzi, Enrico; Manzini, Gianmarco
1
2004
Null space algorithm and spanning trees in solving Darcy’s equation. Zbl 1046.65017
Arioli, Mario; Manzini, Gianmarco
5
2003
High-order IMDEX-RK finite volume methods for multidimensional hyperbolic systems. Zbl 1043.65097
Bertolazzi, E.; Manzini, G.
2
2003
Finite volume/mixed finite element analysis of pollutant transport and bioremediation in heterogeneous saturated aquifers. Zbl 1055.76034
Gallo, Claudio; Manzini, Gianmarco
1
2003
A null space algorithm for mixed finite-element approximations of Darcy’s equation. Zbl 1073.76581
Arioli, Mario; Manzini, Gianmarco
14
2002
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Cited by 1,857 Authors

87 Manzini, Gianmarco
68 Beirão da Veiga, Lourenço
42 Antonietti, Paola Francesca
37 Di Pietro, Daniele Antonio
34 Droniou, Jérôme
34 Russo, Alessandro
30 Dassi, Franco
30 Yuan, Guangwei
29 Mora, David
28 Natarajan, Sundararajan
27 Brezzi, Franco
27 Verani, Marco
26 Ern, Alexandre
26 Vacca, Giuseppe
25 Lipnikov, Konstantin N.
25 Zhao, Jikun
24 Marini, Luisa Donatella
24 Wriggers, Peter
23 Lovadina, Carlo
23 Mascotto, Lorenzo
21 Adak, Dibyendu
21 Sheng, Zhiqiang
20 Artioli, Edoardo
19 Berrone, Stefano
19 Feng, Minfu
19 Sukumar, Natarajan
19 Ye, Xiu
18 Bassi, Francesco
18 Wang, Fei
17 Bertoluzza, Silvia
17 Hudobivnik, Blaž
16 Wang, Gang
15 Colombo, Alessandro G.
15 Zhang, Shangyou
15 Zhao, Lina
14 Chen, Zhangxin
14 Huang, Jianguo
14 Kumar, Sarvesh
14 Mu, Lin
14 Velásquez, Iván G.
14 Wang, Junping
14 Wu, Jiming
14 Zhang, Bei
13 Borio, Andrea
13 Botti, Lorenzo
13 Cangiani, Andrea
13 Chen, Long
13 Mei, Liquan
13 Paulino, Glaucio H.
13 Prada, Daniele
12 Meng, Jian
12 Park, Eun-Jae
12 Rivera, Gonzalo
12 Scacchi, Simone
12 Zhou, Zhaojie
11 Aldakheel, Fadi
11 Chen, Shaochun
11 Crivellini, Andrea
11 Gao, Zhiming
11 Ghidoni, Antonio
11 Gyrya, Vitaliy T.
11 Han, Weimin
11 Natarajan, E. Palamadai
10 Chung, Tsz Shun Eric
10 Gatica, Gabriel N.
10 Gudi, Thirupathi
10 He, Yinnian
10 Houston, Paul
10 Huang, Xuehai
10 Li, Meng
10 Liu, Xin
10 Pennacchio, Micol
10 Scialò, Stefano
10 Weißer, Steffen
9 Bertolazzi, Enrico
9 Cao, Shuhao
9 Dehghan Takht Fooladi, Mehdi
9 Gharibi, Zeinab
9 Hu, Xiaozhe
9 Sacco, Elio
9 Shashkov, Mikhail J.
9 Wang, Feng
9 Wei, Huayi
8 Bochev, Pavel B.
8 Carstensen, Carsten
8 Chi, Heng
8 de Miranda, Stefano
8 Feng, Fang
8 Georgoulis, Emmanuil H.
8 Ma, Changfeng
8 Mazzia, Annamaria
8 Patruno, Luca
8 Perugia, Ilaria
8 Putti, Mario
8 Quenjel, EL Houssaine
8 Sequeira, Filánder A.
8 Specogna, Ruben
8 Svyatsky, Daniil
8 Wang, Chunmei
8 Wang, Ying
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166 Journal of Computational Physics
164 Computer Methods in Applied Mechanics and Engineering
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53 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
50 International Journal for Numerical Methods in Engineering
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38 SIAM Journal on Scientific Computing
33 Calcolo
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10 Communications in Nonlinear Science and Numerical Simulation
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6 Computer Aided Geometric Design
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6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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5 Moscow University Computational Mathematics and Cybernetics
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5 Foundations of Computational Mathematics
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5 East Asian Journal on Applied Mathematics
5 Electronic Research Archive
4 Mathematical Methods in the Applied Sciences
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4 Communications in Numerical Methods in Engineering
4 Vietnam Journal of Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
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