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Mathematics

D-Index
43
Citations
6905
World Ranking
1709
National Ranking
735

Overview

Gianmarco Manzini is affiliated with the Los Alamos National Laboratory in the United States. The primary focus of their research lies within the field of Engineering, with a significant concentration on Computational Mechanics. Their work spans several specialized subfields including Mechanics of Materials, Electrical and Electronic Engineering, Numerical Analysis, and Computational Theory and Mathematics.

Manzini has contributed extensively to the domain of advanced numerical techniques and mathematical modeling applied to engineering problems. Their research covers a broad spectrum of topics such as:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Electromagnetic Simulation and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Tensor decomposition and applications
  • Model Reduction and Neural Networks
  • Advanced Mathematical Modeling in Engineering

The scientist has authored numerous papers, frequently publishing in several academic venues. The most recurrent publication forums include arXiv (Cornell University), Computers & Mathematics with Applications, Computer Methods in Applied Mechanics and Engineering, Mathematics and Computers in Simulation, and the International Journal for Numerical Methods in Engineering.

Some notable papers authored by or involving Manzini are:

  • The NonConforming Virtual Element Method for the Stokes Equations (2022), OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
  • Coupling surface flow and subsurface flow in complex soil structures using mimetic finite differences (2020), Advances in Water Resources
  • The role of mesh quality and mesh quality indicators in the virtual element method (2021), Advances in Computational Mathematics
  • A Survey of Indicators for Mesh Quality Assessment (2023), Computer Graphics Forum
  • Virtual elements for Maxwell's equations (2021), Computers & Mathematics with Applications

Collaboration is a significant aspect of their research output. Frequent co-authors include:

  • Tommaso Sorgente
  • Silvia Biasotti
  • Michela Spagnuolo
  • Dibyendu Adak
  • Duc P. Truong

Best Publications

  • Mimetic finite difference method

    Konstantin Lipnikov;Gianmarco Manzini;Mikhail Shashkov

  • Discontinuous Galerkin approximations for elliptic problems

    F. Brezzi;G. Manzini;D. Marini;P. Pietra

  • The Mimetic Finite Difference Method for Elliptic Problems

    Lourenço Beirão da Veiga;Konstantin Lipnikov;Gianmarco Manzini

  • 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

    Robert Eymard;Gérard Henry;Raphaèle Herbin;Florence Hubert

  • The nonconforming virtual element method

    Blanca Pilar Ayuso De Dios;Konstantin Lipnikov;Gianmarco Manzini

  • Conforming and nonconforming virtual element methods for elliptic problems

    Andrea Cangiani;Gianmarco Manzini;Oliver J. Sutton

  • New perspectives on polygonal and polyhedral finite element methods

    Gianmarco Manzini;Alessandro Russo;N. Sukumar

  • A virtual element method with arbitrary regularity

    Lourenco Beirão da Veiga;Gianmarco Manzini

  • The NonConforming Virtual Element Method for the Stokes Equations

    Andrea Cangiani;Vitaliy Gyrya;Gianmarco Manzini

  • Mass-conservative finite volume methods on 2-D unstructured grids for the Richards’ equation

    Gianmarco Manzini;Stefano Ferraris

  • The fully nonconforming virtual element method for biharmonic problems

    P. F. Antonietti;G. Manzini;M. Verani

  • Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes

    L. Beirão da Veiga;K. Lipnikov;G. Manzini

  • Mimetic finite difference method for the Stokes problem on polygonal meshes

    L. Beirão da Veiga;V. Gyrya;K. Lipnikov;G. Manzini

  • A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems

    Enrico Bertolazzi;Gianmarco Manzini

  • Residual a posteriori error estimation for the Virtual Element Method for elliptic problems

    L. Beirão da Veiga;G. Manzini

  • Hourglass stabilization and the virtual element method

    A. Cangiani;G. Manzini;G. Manzini;A. Russo;N. Sukumar

  • A finite volume method for advection-diffusion problems in convection-dominated regimes

    Gianmarco Manzini;Alessandro Russo

  • Flux reconstruction and solution post-processing in mimetic finite difference methods

    Andrea Cangiani;Gianmarco Manzini

  • Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems

    K. Lipnikov;G. Manzini;D. Svyatskiy

  • A CELL-CENTERED SECOND-ORDER ACCURATE FINITE VOLUME METHOD FOR CONVECTION–DIFFUSION PROBLEMS ON UNSTRUCTURED MESHES

    Enrico Bertolazzi;Gianmarco Manzini

  • The non-conforming virtual element method for the Stokes equations

    Andrea Cangiani;Vitaliy Gyrya;Gianmarco Manzini

  • The nonconforming virtual element method

    B. Ayuso de Dios;K. Lipnikov;G. Manzini

Frequent Co-Authors

Konstantin Lipnikov
Konstantin Lipnikov Los Alamos National Laboratory
L. Beirão da Veiga
L. Beirão da Veiga University of Milano-Bicocca
Mario Putti
Mario Putti University of Padua
Jérôme Droniou
Jérôme Droniou University of Montpellier
Mikhail Shashkov
Mikhail Shashkov Los Alamos National Laboratory
Franco Brezzi
Franco Brezzi National Research Council (CNR)
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Andrea Rinaldo
Andrea Rinaldo École Polytechnique Fédérale de Lausanne
Nicola Bellomo
Nicola Bellomo University of Granada
Scott L. Painter
Scott L. Painter Oak Ridge National Laboratory

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