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2020 – today
- 2025
[j54]Tommaso Sorgente, Fabio Vicini, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
Mesh optimization for the virtual element method: How small can an agglomerated mesh become? J. Comput. Phys. 521: 113552 (2025)- 2024
- [j53]Ondrej Certík, John E. Pask, Isuru Fernando, Rohit Goswami
, N. Sukumar, Lee A. Collins, Gianmarco Manzini, Jirí Vackár:
High-order finite element method for atomic structure calculations. Comput. Phys. Commun. 297: 109051 (2024) - [j52]Duc P. Truong, Mario I. Ortega, Ismael Boureima, Gianmarco Manzini, Kim Ø. Rasmussen, Boian S. Alexandrov:
Tensor networks for solving the time-independent Boltzmann neutron transport equation. J. Comput. Phys. 507: 112943 (2024) - [j51]Dibyendu Adak, Gianmarco Manzini, Hashem M. Mourad, JeeYeon N. Plohr, Lampros Svolos:
A C1-Conforming Arbitrary-Order Two-Dimensional Virtual Element Method for the Fourth-Order Phase-Field Equation. J. Sci. Comput. 98(2): 38 (2024) - [j50]Gianmarco Manzini, Annamaria Mazzia:
A posteriori error analysis and mesh adaptivity for a virtual element method solving the Stokes equations. Math. Comput. Simul. 221: 19-38 (2024) - [i29]Jérôme Droniou, Gianmarco Manzini, Liam Yemm:
The eXtended Virtual Element Method for elliptic problems with weakly singular solutions. CoRR abs/2402.02902 (2024) - [i28]Dibyendu Adak, Duc P. Truong, Gianmarco Manzini, Kim Ø. Rasmussen, Boian S. Alexandrov:
Tensor Network Space-Time Spectral Collocation Method for Time Dependent Convection-Diffusion-Reaction Equations. CoRR abs/2402.18073 (2024) - [i27]Steven Walton, Svetlana Tokareva, Gianmarco Manzini:
The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification. CoRR abs/2404.06574 (2024) - [i26]Tommaso Sorgente, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo, Fabio Vicini:
Mesh Optimization for the Virtual Element Method: How Small Can an Agglomerated Mesh Become? CoRR abs/2404.11484 (2024) - 2023
- [j49]Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
A Survey of Indicators for Mesh Quality Assessment. Comput. Graph. Forum 42(2): 461-483 (2023) - [j48]Cecilia Pagliantini, Gianmarco Manzini, Oleksandr Koshkarov, Gian Luca Delzanno, Vadim Roytershteyn:
Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations. Comput. Phys. Commun. 284: 108604 (2023) - [j47]Gianmarco Manzini, Duc Phan Minh Truong, Radoslav G. Vuchkov, Boian S. Alexandrov:
The tensor-train mimetic finite difference method for three-dimensional Maxwell's wave propagation equations. Math. Comput. Simul. 210: 615-639 (2023) - [j46]Sebastian Naranjo Alvarez, L. Beirão da Veiga, Vrushali A. Bokil, Franco Dassi, Vitaliy Gyrya, Gianmarco Manzini:
The virtual element method for a 2D incompressible MHD system. Math. Comput. Simul. 211: 301-328 (2023) - [c4]Gianmarco Manzini, Boian S. Alexandrov, Duc Phan Minh Truong, Radoslav G. Vuchkov:
The Tensor-Train Mimetic Finite Difference Method for Three-Dimensional Maxwell's Wave Propagation Equations. LSSC 2023: 215-222 - [c3]Massimiliano Martinelli, Gianmarco Manzini:
A Functional Tensor Train Library in RUST for Numerical Integration and Resolution of Partial Differential Equations. LSSC 2023: 223-233 - [i25]Dibyendu Adak, Gianmarco Manzini, Hashem M. Mourad, JeeYeon N. Plohr, Lampros Svolos:
A C1-conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation. CoRR abs/2307.16068 (2023) - [i24]Duc P. Truong, Mario I. Ortega, Ismael Boureima, Gianmarco Manzini, Kim Ø. Rasmussen, Boian S. Alexandrov:
Tensor Networks for Solving Realistic Time-independent Boltzmann Neutron Transport Equation. CoRR abs/2309.03347 (2023) - 2022
- [j45]Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
The role of mesh quality and mesh quality indicators in the virtual element method. Adv. Comput. Math. 48(1): 3 (2022) - [j44]Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
Polyhedral mesh quality indicator for the Virtual Element Method. Comput. Math. Appl. 114: 151-160 (2022) - [j43]Silvia Bertoluzza, Gianmarco Manzini, Micol Pennacchio, Daniele Prada:
Stabilization of the nonconforming virtual element method. Comput. Math. Appl. 116: 25-47 (2022) - [j42]Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan:
Virtual element approximation of two-dimensional parabolic variational inequalities. Comput. Math. Appl. 116: 48-70 (2022) - [j41]L. Beirão da Veiga, Franco Dassi, Gianmarco Manzini, Lorenzo Mascotto:
Virtual elements for Maxwell's equations. Comput. Math. Appl. 116: 82-99 (2022) - [j40]Lorella Fatone, Daniele Funaro, Gianmarco Manzini:
A Decision-Making Machine Learning Approach in Hermite Spectral Approximations of Partial Differential Equations. J. Sci. Comput. 92(1): 3 (2022) - [j39]Boian S. Alexandrov, Derek F. DeSantis, Gianmarco Manzini, Erik W. Skau:
Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC. Numer. Linear Algebra Appl. 29(6) (2022) - [i23]Lourenço Beirão da Veiga, Franco Dassi, Gianmarco Manzini, Lorenzo Mascotto:
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model. CoRR abs/2201.04417 (2022) - [i22]Lampros Svolos, Hashem M. Mourad, Gianmarco Manzini, Krishna C. Garikipati:
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method. CoRR abs/2205.06815 (2022) - [i21]Tommaso Sorgente, Fabio Vicini, Stefano Berrone, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks. CoRR abs/2208.09639 (2022) - 2021
- [j38]Oleksandr Koshkarov, Gianmarco Manzini, Gian Luca Delzanno, Cecilia Pagliantini, Vadim Roytershteyn:
The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. Comput. Phys. Commun. 264: 107866 (2021) - [j37]Daniele Funaro, Gianmarco Manzini:
Stability and Conservation Properties of Hermite-Based Approximations of the Vlasov-Poisson System. J. Sci. Comput. 88(1): 29 (2021) - [c2]Gianmarco Manzini, Erik Skau, Duc Phan Minh Truong, Raviteja Vangara:
Nonnegative Tensor-Train Low-Rank Approximations of the Smoluchowski Coagulation Equation. LSSC 2021: 342-350 - [i20]L. Beirão da Veiga, Franco Dassi, Gianmarco Manzini, Lorenzo Mascotto:
Virtual elements for Maxwell's equations. CoRR abs/2102.00950 (2021) - [i19]Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri, Simone Scacchi, Marco Verani:
The conforming virtual element method for polyharmonic and elastodynamics problems: a review. CoRR abs/2102.01652 (2021) - [i18]Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
The role of mesh quality and mesh quality indicators in the Virtual Element Method. CoRR abs/2102.04138 (2021) - [i17]Daniele Funaro, Gianmarco Manzini:
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. CoRR abs/2103.00691 (2021) - [i16]Tommaso Sorgente, Daniele Prada, Daniela Cabiddu, Silvia Biasotti, Giuseppe Patanè, Micol Pennacchio, Silvia Bertoluzza, Gianmarco Manzini, Michela Spagnuolo:
VEM and the Mesh. CoRR abs/2103.01614 (2021) - [i15]Silvia Bertoluzza, Gianmarco Manzini, Micol Pennacchio, Daniele Prada:
Stabilization of the nonconforming virtual element method. CoRR abs/2103.03742 (2021) - [i14]Lorella Fatone, Daniele Funaro, Gianmarco Manzini:
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations. CoRR abs/2104.02181 (2021) - [i13]Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani:
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR abs/2104.03402 (2021) - [i12]Sebastian Naranjo Alvarez, Vrushali A. Bokil, Vitaliy Gyrya, Gianmarco Manzini:
The virtual element method for the coupled system of magneto-hydrodynamics. CoRR abs/2104.04096 (2021) - [i11]Elena Bachini, Gianmarco Manzini, Mario Putti:
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces. CoRR abs/2105.02353 (2021) - [i10]Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan:
Virtual element approximation of two-dimensional parabolic variational inequalities. CoRR abs/2105.14418 (2021) - [i9]Cecilia Pagliantini, Gianmarco Manzini, Oleksandr Koshkarov, Gian Luca Delzanno, Vadim Roytershteyn:
Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations. CoRR abs/2110.11511 (2021) - [i8]Elena Benvenuti, Andrea Chiozzi, Gianmarco Manzini, N. Sukumar:
Extended virtual element method for two-dimensional linear elastic fracture. CoRR abs/2111.04150 (2021) - [i7]Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo:
Polyhedral Mesh Quality Indicator for the Virtual Element Method. CoRR abs/2112.11365 (2021) - [i6]Gianmarco Manzini, Annamaria Mazzia:
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. CoRR abs/2112.13292 (2021) - [i5]Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani:
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR abs/2112.13295 (2021) - [i4]Gianmarco Manzini, Annamaria Mazzia:
Conforming virtual element approximations of the two-dimensional Stokes problem. CoRR abs/2112.14271 (2021) - 2020
- [j36]Paola F. Antonietti, Gianmarco Manzini, Marco Verani:
The conforming virtual element method for polyharmonic problems. Comput. Math. Appl. 79(7): 2021-2034 (2020) - [j35]Ondrej Certík, Francesca Gardini, Gianmarco Manzini, Lorenzo Mascotto, Giuseppe Vacca:
The p- and hp-versions of the virtual element method for elliptic eigenvalue problems. Comput. Math. Appl. 79(7): 2035-2056 (2020) - [i3]Sebastian Naranjo Alvarez, Vrushali A. Bokil, Vitaliy Gyrya, Gianmarco Manzini:
The virtual element method for resistive magnetohydrodynamics. CoRR abs/2004.11467 (2020)
2010 – 2019
- 2019
- [j34]Lorella Fatone, Daniele Funaro, Gianmarco Manzini:
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. J. Comput. Phys. 384: 349-375 (2019) - [j33]Gianmarco Manzini, Gianluca Maguolo, Mario Putti:
The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems. J. Sci. Comput. 80(3): 1805-1830 (2019) - [j32]Gianmarco Manzini, Gianluca Maguolo, Mario Putti:
Correction to: The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems. J. Sci. Comput. 80(3): 1831 (2019) - [j31]L. Beirão da Veiga, Gianmarco Manzini, Lorenzo Mascotto:
A posteriori error estimation and adaptivity in hp virtual elements. Numerische Mathematik 143(1): 139-175 (2019) - [i2]Boian S. Alexandrov, Derek DeSantis, Gianmarco Manzini, Erik Skau:
Nonnegative Canonical Polyadic Decomposition with Rank Deficient Factors. CoRR abs/1909.07570 (2019) - [i1]Paola F. Antonietti, Gianmarco Manzini, Hashem M. Mourad, Marco Verani:
The virtual element method for linear elastodynamics models. Design, analysis, and implementation. CoRR abs/1912.07122 (2019) - 2018
- [j30]Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini:
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. 355: 397-425 (2018) - 2017
- [j29]Gianmarco Manzini, Daniele Funaro, Gian Luca Delzanno:
Convergence of Spectral Discretizations of the Vlasov-Poisson System. SIAM J. Numer. Anal. 55(5): 2312-2335 (2017) - [j28]Gianmarco Manzini, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov:
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients. SIAM J. Numer. Anal. 55(6): 2956-2981 (2017) - 2016
- [j27]Konstantin Lipnikov, Gianmarco Manzini, J. David Moulton, Mikhail J. Shashkov:
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. J. Comput. Phys. 305: 111-126 (2016) - [j26]Gianmarco Manzini, Gian Luca Delzanno, Juris Vencels, Stefano Markidis:
A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system. J. Comput. Phys. 317: 82-107 (2016) - [j25]Andrea Cangiani, Vitaliy Gyrya, Gianmarco Manzini:
The NonConforming Virtual Element Method for the Stokes Equations. SIAM J. Numer. Anal. 54(6): 3411-3435 (2016) - 2014
- [j24]Konstantin Lipnikov, Gianmarco Manzini, Mikhail J. Shashkov:
Mimetic finite difference method. J. Comput. Phys. 257: 1163-1227 (2014) - [j23]Franco Brezzi, Annalisa Buffa, Gianmarco Manzini:
Mimetic scalar products of discrete differential forms. J. Comput. Phys. 257: 1228-1259 (2014) - [j22]Konstantin Lipnikov, Gianmarco Manzini:
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. J. Comput. Phys. 272: 360-385 (2014) - 2012
- [j21]Stella Krell, Gianmarco Manzini:
The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes. SIAM J. Numer. Anal. 50(2): 808-837 (2012) - 2011
- [j20]Konstantin Lipnikov, Gianmarco Manzini, Franco Brezzi, Annalisa Buffa:
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. J. Comput. Phys. 230(2): 305-328 (2011) - [j19]Konstantin Lipnikov, Gianmarco Manzini, Daniil Svyatskiy:
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. J. Comput. Phys. 230(7): 2620-2642 (2011) - [j18]Annamaria Mazzia, Gianmarco Manzini, Mario Putti:
Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations. J. Comput. Phys. 230(23): 8410-8426 (2011) - [j17]L. Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini:
Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes. SIAM J. Numer. Anal. 49(5): 1737-1760 (2011) - 2010
- [j16]Yves Coudière, Gianmarco Manzini:
The Discrete Duality Finite Volume Method for Convection-diffusion Problems. SIAM J. Numer. Anal. 47(6): 4163-4192 (2010) - [j15]L. Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini:
Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes. SIAM J. Numer. Anal. 48(4): 1419-1443 (2010)
2000 – 2009
- 2009
- [j14]L. Beirão da Veiga, Vitaliy Gyrya, Konstantin Lipnikov, Gianmarco Manzini:
Mimetic finite difference method for the Stokes problem on polygonal meshes. J. Comput. Phys. 228(19): 7215-7232 (2009) - [j13]Gianmarco Manzini:
A second-order TVD implicit-explicit finite volume method for time-dependent convection-reaction equations. Math. Comput. Simul. 79(8): 2403-2428 (2009) - [j12]Lourenço Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini:
Convergence analysis of the high-order mimetic finite difference method. Numerische Mathematik 113(3): 325-356 (2009) - [j11]Andrea Cangiani, Gianmarco Manzini, Alessandro Russo:
Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems. SIAM J. Numer. Anal. 47(4): 2612-2637 (2009) - 2008
- [j10]Lourenço Beirão da Veiga, Gianmarco Manzini:
A Higher-Order Formulation of the Mimetic Finite Difference Method. SIAM J. Sci. Comput. 31(1): 732-760 (2008) - 2007
- [j9]Gianmarco Manzini, Mario Putti:
Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations. J. Comput. Phys. 220(2): 751-771 (2007) - [j8]Enrico Bertolazzi, Gianmarco Manzini:
Computer modeling of liquid-solid impacts. Math. Comput. Model. 45(1-2): 162-176 (2007) - [j7]Enrico Bertolazzi, Gianmarco Manzini:
DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems. Math. Comput. Simul. 75(5-6): 141-160 (2007) - 2005
- [j6]Enrico Bertolazzi, Gianmarco Manzini:
A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems. SIAM J. Numer. Anal. 43(5): 2172-2199 (2005) - 2002
- [j5]Gianmarco Manzini, S. Mazet:
An object-oriented interface for the dynamic memory management of sparse discrete mathematical operators in numerical scientific applications. Softw. Pract. Exp. 32(7): 621-644 (2002) - [j4]Enrico Bertolazzi, Gianmarco Manzini:
Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers. ACM Trans. Math. Softw. 28(1): 101-132 (2002)
1990 – 1999
- 1999
- [j3]Gianmarco Manzini, Luca Stolcis:
Distributed Parallel Strategies for Industrial CFD Solvers: A Case Study and Analysis of Performances. J. Parallel Distributed Comput. 57(3): 334-344 (1999) - 1998
- [j2]Luigi Cinque, Luca Lombardi, Gianmarco Manzini:
A multiresolution approach for page segmentation. Pattern Recognit. Lett. 19(2): 217-225 (1998) - [j1]Luca Bergamaschi, Stefano Mantica, Gianmarco Manzini:
A Mixed Finite Element-Finite Volume Formulation of the Black-Oil Model. SIAM J. Sci. Comput. 20(3): 970-997 (1998) - 1994
- [c1]Luc Giraud, Gianmarco Manzini:
Parallel Distributed Implementations of 2D Explicit Euler Solvers. HPCN 1994: 151-156
Coauthor Index
Lourenço Beirão da Veiga
aka: L. Beirão da Veiga
aka: L. Beirão da Veiga
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