Gianmarco Manzini

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 61

Top Topics

Quality Indicators

Numerical Solution

Partial Differential Equations

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

J. Sci. Comput.

Publications

Jérôme Droniou, Gianmarco Manzini, Liam Yemm
The eXtended Virtual Element Method for elliptic problems with weakly singular solutions. CoRR (2024)
Dibyendu Adak, Gianmarco Manzini, Hashem M. Mourad, JeeYeon N. Plohr, Lampros Svolos
-Conforming Arbitrary-Order Two-Dimensional Virtual Element Method for the Fourth-Order Phase-Field Equation. J. Sci. Comput. 98 (2) (2024)
Steven Walton, Svetlana Tokareva, Gianmarco Manzini
The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification. CoRR (2024)
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 (2024)
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 (2024)
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 (2024)
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 (2024)
Gianmarco Manzini, Annamaria Mazzia
A posteriori error analysis and mesh adaptivity for a virtual element method solving the Stokes equations. Math. Comput. Simul. 221 (2024)
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 (2023)
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 (2023)
Dibyendu Adak, Gianmarco Manzini, Hashem M. Mourad, JeeYeon N. Plohr, Lampros Svolos
-conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation. CoRR (2023)
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)
Massimiliano Martinelli, Gianmarco Manzini
A Functional Tensor Train Library in RUST for Numerical Integration and Resolution of Partial Differential Equations. LSSC (2023)
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 (2023)
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 (2023)
Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo
A Survey of Indicators for Mesh Quality Assessment. Comput. Graph. Forum 42 (2) (2023)
L. Beirão da Veiga, Franco Dassi, Gianmarco Manzini, Lorenzo Mascotto
Virtual elements for Maxwell's equations. Comput. Math. Appl. 116 (2022)
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) (2022)
Lourenço Beirão da Veiga, Franco Dassi, Gianmarco Manzini, Lorenzo Mascotto
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model. CoRR (2022)
Lampros Svolos, Hashem M. Mourad, Gianmarco Manzini, Krishna Garikipati
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method. CoRR (2022)
Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo
Polyhedral mesh quality indicator for the Virtual Element Method. Comput. Math. Appl. 114 (2022)
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)
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 (2022)
Silvia Bertoluzza, Gianmarco Manzini, Micol Pennacchio, Daniele Prada
Stabilization of the nonconforming virtual element method. Comput. Math. Appl. 116 (2022)
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) (2022)
Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
Virtual element approximation of two-dimensional parabolic variational inequalities. Comput. Math. Appl. 116 (2022)
Silvia Bertoluzza, Gianmarco Manzini, Micol Pennacchio, Daniele Prada
Stabilization of the nonconforming virtual element method. CoRR (2021)
Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo
The role of mesh quality and mesh quality indicators in the Virtual Element Method. CoRR (2021)
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR (2021)
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi, Marco Verani
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations. CoRR (2021)
Daniele Funaro, Gianmarco Manzini
Stability and Conservation Properties of Hermite-Based Approximations of the Vlasov-Poisson System. J. Sci. Comput. 88 (1) (2021)
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 (2021)
Sebastian Naranjo Alvarez, Vrushali A. Bokil, Vitaliy Gyrya, Gianmarco Manzini
The virtual element method for the coupled system of magneto-hydrodynamics. CoRR (2021)
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 (2021)
Gianmarco Manzini, Annamaria Mazzia
Conforming virtual element approximations of the two-dimensional Stokes problem. CoRR (2021)
Lorella Fatone, Daniele Funaro, Gianmarco Manzini
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations. CoRR (2021)
Tommaso Sorgente, Daniele Prada, Daniela Cabiddu, Silvia Biasotti, Giuseppe Patanè, Micol Pennacchio, Silvia Bertoluzza, Gianmarco Manzini, Michela Spagnuolo
VEM and the Mesh. CoRR (2021)
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 (2021)
Elena Benvenuti, Andrea Chiozzi, Gianmarco Manzini, N. Sukumar
Extended virtual element method for two-dimensional linear elastic fracture. CoRR (2021)
Gianmarco Manzini, Erik Skau, Duc P. Truong, Raviteja Vangara
Nonnegative Tensor-Train Low-Rank Approximations of the Smoluchowski Coagulation Equation. LSSC (2021)
Elena Bachini, Gianmarco Manzini, Mario Putti
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces. CoRR (2021)
Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
Virtual element approximation of two-dimensional parabolic variational inequalities. CoRR (2021)
Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri, Simone Scacchi, Marco Verani
The conforming virtual element method for polyharmonic and elastodynamics problems: a review. CoRR (2021)
Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini, Michela Spagnuolo
Polyhedral Mesh Quality Indicator for the Virtual Element Method. CoRR (2021)
L. Beirão da Veiga, Franco Dassi, Gianmarco Manzini, Lorenzo Mascotto
Virtual elements for Maxwell's equations. CoRR (2021)
Daniele Funaro, Gianmarco Manzini
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. CoRR (2021)
O. 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) (2020)
Paola F. Antonietti, Gianmarco Manzini, Marco Verani
The conforming virtual element method for polyharmonic problems. Comput. Math. Appl. 79 (7) (2020)
Sebastian Naranjo Alvarez, Vrushali A. Bokil, Vitaliy Gyrya, Gianmarco Manzini
The virtual element method for resistive magnetohydrodynamics. CoRR (2020)
Gianmarco Manzini, Gianluca Maguolo, Mario Putti
The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems. J. Sci. Comput. 80 (3) (2019)
Paola F. Antonietti, Gianmarco Manzini, H. Mourad, Marco Verani
The virtual element method for linear elastodynamics models. Design, analysis, and implementation. CoRR (2019)
L. Beirão da Veiga, Gianmarco Manzini, Lorenzo Mascotto
virtual elements. Numerische Mathematik 143 (1) (2019)
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) (2019)
Boian S. Alexandrov, Derek DeSantis, Gianmarco Manzini, Erik Skau
Nonnegative Canonical Polyadic Decomposition with Rank Deficient Factors. CoRR (2019)
Lorella Fatone, Daniele Funaro, Gianmarco Manzini
Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system. J. Comput. Phys. 384 (2019)
Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes. J. Comput. Phys. 355 (2018)
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) (2017)
Gianmarco Manzini, Daniele Funaro, Gian Luca Delzanno
Convergence of Spectral Discretizations of the Vlasov-Poisson System. SIAM J. Numer. Anal. 55 (5) (2017)
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 (2016)
Andrea Cangiani, Vitaliy Gyrya, Gianmarco Manzini
The NonConforming Virtual Element Method for the Stokes Equations. SIAM J. Numer. Anal. 54 (6) (2016)
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 (2016)
Konstantin Lipnikov, Gianmarco Manzini, Mikhail J. Shashkov
Mimetic finite difference method. J. Comput. Phys. 257 (2014)
Konstantin Lipnikov, Gianmarco Manzini
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. J. Comput. Phys. 272 (2014)
Franco Brezzi, Annalisa Buffa, Gianmarco Manzini
Mimetic scalar products of discrete differential forms. J. Comput. Phys. 257 (2014)
Stella Krell, Gianmarco Manzini
The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes. SIAM J. Numer. Anal. 50 (2) (2012)
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) (2011)
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) (2011)
Annamaria Mazzia, Gianmarco Manzini, Mario Putti
Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations. J. Comput. Phys. 230 (23) (2011)
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) (2011)
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) (2010)
Yves Coudière, Gianmarco Manzini
The Discrete Duality Finite Volume Method for Convection-diffusion Problems. SIAM J. Numer. Anal. 47 (6) (2010)
Gianmarco Manzini
A second-order TVD implicit-explicit finite volume method for time-dependent convection-reaction equations. Math. Comput. Simul. 79 (8) (2009)
Andrea Cangiani, Gianmarco Manzini, Alessandro Russo
Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems. SIAM J. Numer. Anal. 47 (4) (2009)
Lourenço Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
Convergence analysis of the high-order mimetic finite difference method. Numerische Mathematik 113 (3) (2009)
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) (2009)
Lourenço Beirão da Veiga, Gianmarco Manzini
A Higher-Order Formulation of the Mimetic Finite Difference Method. SIAM J. Sci. Comput. 31 (1) (2008)
Enrico Bertolazzi, Gianmarco Manzini
DIMEX Runge-Kutta finite volume methods for multidimensional hyperbolic systems. Math. Comput. Simul. 75 (5-6) (2007)
Enrico Bertolazzi, Gianmarco Manzini
Computer modeling of liquid-solid impacts. Math. Comput. Model. 45 (1-2) (2007)
Gianmarco Manzini, Mario Putti
Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations. J. Comput. Phys. 220 (2) (2007)
Enrico Bertolazzi, Gianmarco Manzini
A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems. SIAM J. Numer. Anal. 43 (5) (2005)
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) (2002)
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) (2002)
Gianmarco Manzini, Luca Stolcis
Distributed Parallel Strategies for Industrial CFD Solvers: A Case Study and Analysis of Performances. J. Parallel Distributed Comput. 57 (3) (1999)
Luca Bergamaschi, Stefano Mantica, Gianmarco Manzini
A Mixed Finite Element-Finite Volume Formulation of the Black-Oil Model. SIAM J. Sci. Comput. 20 (3) (1998)
Luigi Cinque, Luca Lombardi, Gianmarco Manzini
A multiresolution approach for page segmentation. Pattern Recognit. Lett. 19 (2) (1998)