Paola Antonietti
#135,902
Most Influential Person Now
Italian mathematician
Paola Antonietti's AcademicInfluence.com Rankings
Paola Antoniettimathematics Degrees
Mathematics
#7103
World Rank
#9723
Historical Rank
Differential Geometry
#118
World Rank
#140
Historical Rank
Geometry
#230
World Rank
#319
Historical Rank
Group Theory
#290
World Rank
#340
Historical Rank
Download Badge
Mathematics
Paola Antonietti's Degrees
- PhD Mathematics University of Milan
- Masters Mathematics University of Milan
- Bachelors Mathematics University of Milan
Similar Degrees You Can Earn
Why Is Paola Antonietti Influential?
(Suggest an Edit or Addition)According to Wikipedia, Paola F. Antonietti is an Italian applied mathematician and numerical analyst whose research concerns numerical methods for partial differential equations, and particularly domain decomposition methods, with applications in scientific computing and Applied Sciences such as the computational modelling of neurodegenerative disorders and simulating the propagation of seismic waves. She is Professor of Numerical Analysis at the Polytechnic University of Milan.
Paola Antonietti's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes (2014) (191)
- A C1 Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes (2015) (182)
- Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case (2007) (115)
- The fully nonconforming virtual element method for biharmonic problems (2016) (110)
- MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA (2016) (109)
- Discontinuous Galerkin approximation of the Laplace eigenproblem (2006) (91)
- A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods (2011) (88)
- hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains (2013) (87)
- Non-conforming high order approximations of the elastodynamics equation (2012) (84)
- Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains (2016) (71)
- Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations ofElliptic Problems (2007) (58)
- Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids (2019) (54)
- A Cahn‐Hilliard–type equation with application to tumor growth dynamics (2017) (53)
- On the virtual element method for topology optimization on polygonal meshes: A numerical study (2016) (45)
- Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems (2013) (44)
- The conforming virtual element method for polyharmonic problems (2018) (44)
- A multigrid algorithm for the $p$-version of the Virtual Element Method (2017) (43)
- Multigrid algorithms for $hp$-version Interior Penalty Discontinuous Galerkin methods on polygonal and polyhedral meshes (2014) (39)
- Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains (2014) (38)
- Dispersion-dissipation analysis of 3-D continuous and discontinuous spectral element methods for the elastodynamics equation (2017) (38)
- Bubble stabilization of Discontinuous Galerkin methods (2009) (36)
- A mimetic discretization of elliptic obstacle problems (2013) (35)
- Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem (2013) (35)
- High-order Discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes (2018) (34)
- Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems (2013) (34)
- Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods (2007) (33)
- High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces (2015) (32)
- Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods (2018) (30)
- Mimetic Discretizations of Elliptic Control Problems (2013) (30)
- High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation (2015) (29)
- V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes (2017) (27)
- Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems (2012) (26)
- A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems (2017) (26)
- A high-order discontinuous Galerkin approach to the elasto-acoustic problem (2018) (25)
- Numerical modeling of seismic waves by discontinuous spectral element methods (2018) (24)
- Mimetic finite differences for nonlinear and control problems (2014) (23)
- A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods (2016) (23)
- Multigrid algorithms for $$\varvec{hp}$$hp-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes (2014) (22)
- A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics (2018) (22)
- A high-order discontinuous Galerkin method for nonlinear sound waves (2019) (21)
- Numerical solution of fluid-structure interaction problems by means of a high order Discontinuous Galerkin method on polygonal grids (2019) (21)
- SUIHTER: a new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy (2021) (21)
- An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids (2019) (20)
- Substructuring preconditioners for an $$h$$h-$$p$$p domain decomposition method with interior penalty mortaring (2015) (18)
- A discontinuous Galerkin reduced basis element method for elliptic problems (2016) (17)
- Mimetic finite difference approximation of quasilinear elliptic problems (2015) (16)
- The arbitrary‐order virtual element method for linear elastodynamics models: convergence, stability and dispersion‐dissipation analysis (2020) (14)
- Anisotropic a posteriori error estimate for the Virtual Element Method (2020) (13)
- High Order Space-Time Discretization for Elastic Wave Propagation Problems (2014) (13)
- hp -Version Discontinuous Galerkin Approximations of the Elastodynamics Equation (2017) (12)
- Preconditioning High-Order Discontinuous Galerkin Discretizations of Elliptic Problems (2013) (10)
- Multigrid Shape Optimization Governed by Elliptic PDEs (2013) (10)
- High–order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations (2021) (10)
- The Virtual Element Method on Anisotropic Polygonal Discretizations (2017) (10)
- Domain Decomposition Preconditioning for Discontinuous Galerkin Approximations of Convection-Diffusion Problems (2009) (10)
- Optimal Techniques to Simulate Flow in Fractured Reservoir (2014) (9)
- Stabilizations of the Baumann-Oden DG Formulation: The 3D Case (2008) (9)
- Modelling and numerical simulation of the polymeric extrusion process in textile products (2010) (9)
- Theoretical study and numerical simulation of textiles (2011) (9)
- Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids (2020) (8)
- Simulation of three‐dimensional elastoacoustic wave propagation based on a Discontinuous Galerkin spectral element method (2019) (8)
- Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinous Galerkin and Virtual Element methods (2021) (8)
- A pre-processing moving mesh method for discontinuous Galerkin approximations of advection-diffusion-reaction problems (2008) (7)
- A two-level method for mimetic finite difference discretizations of elliptic problems (2013) (7)
- A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids (2020) (7)
- Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow (2007) (7)
- Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures (2020) (7)
- Mimetic Finite Difference Method for Shape Optimization Problems (2013) (7)
- Multigrid Algorithms for High Order Discontinuous Galerkin Methods (2016) (7)
- A space-time discontinuous Galerkin method for the elastic wave equation (2020) (7)
- The virtual element method for a minimal surface problem (2019) (6)
- Mixed‐primal Discontinuous Galerkin approximation of flows in fractured porous media on polygonal and polyhedral grids (2019) (5)
- A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems (2021) (5)
- Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas (2020) (5)
- Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods (2020) (5)
- Convergence to equilibrium for a second-order time semi-discretization ofthe Cahn-Hilliard equation (2016) (5)
- Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods (2013) (5)
- A review on arbitrarily regular conforming Virtual Element Methods for second- and higher-order elliptic partial differential equations (2021) (5)
- Class of Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems (2008) (4)
- Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions (2015) (4)
- Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems (2020) (4)
- High order discontinuous Galerkin methods on surfaces (2014) (4)
- Accelerating Algebraic Multigrid Methods via Artificial Neural Networks (2021) (4)
- NON-CONFORMING SPECTRAL APPROXIMATIONS FOR THE ELASTIC WAVE EQUATION IN HETEROGENEOUS MEDIA (2011) (4)
- An Hr-Adaptive Discontinuous Galerkin Method for Advection-Diffusion Problems (2009) (4)
- Numerical Modelling of the Brain Poromechanics by High-Order Discontinuous Galerkin Methods (2022) (3)
- Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media (2020) (3)
- An Adaptive MFD Method for the Obstacle Problem (2013) (3)
- A uniform additive Schwarz preconditioner for the $hp$-version of Discontinuous Galerkin approximations of elliptic problems (2014) (3)
- Virtual Element Method (2017) (2)
- Finite element approximation of the Sobolev constant (2011) (2)
- A Cahn-Hilliard type equation with degenerate mobility and single-well potential. Part I: convergence analysis of a continuous Galerkin finite element discretization (2016) (2)
- An Adaptive hp–DG–FE Method for Elliptic Problems: Convergence and Optimality in the 1D Case (2019) (2)
- Agglomeration of Polygonal Grids using Graph Neural Networks with applications to Multigrid solvers (2022) (2)
- Numerical performance of discontinuous and stabilized continuous Galerkin methods for convection–diffusion problems (2011) (2)
- Substructuring preconditioners for an h p Nitsche-type method (2013) (2)
- A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems (2021) (2)
- Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem (2022) (2)
- Virtual Element Method for the Navier-Stokes Equation coupled with the Heat Equation (2022) (2)
- On Mathematical and Numerical Modelling of Multiphysics Wave Propagation with Polytopal Discontinuous Galerkin Methods: a Review (2022) (2)
- Governance in Universities (2021) (2)
- Agglomeration-based geometric multigrid schemes for the Virtual Element Method (2021) (1)
- C1-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration (2021) (1)
- Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods (2018) (1)
- Improving seismic risk protection through mathematical modeling (2015) (1)
- The conforming virtual element method for polyharmonic and elastodynamics problems: a review (2021) (1)
- Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems (2006) (1)
- A segregated finite volume - spectral element method for aeroacoustic problems (2023) (1)
- A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations (2021) (1)
- The arbitrary-order virtual element method for linear elastodynamics models. Convergence, stability and dispersion-dissipation analysis. (2020) (1)
- The virtual element method for linear elastodynamics models. Convergence, stability and dissipation-dispersion analysis. (2019) (1)
- MOX-Report No . 22 / 2016 Discontinuous Galerkin approximation of flows in fractured porous media (2016) (0)
- A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs (2023) (0)
- Design and convergence analysis of the conforming virtual element method for polyharmonic problems (2018) (0)
- Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem (2015) (0)
- A DG-VEM method for the dissipative wave equation (2023) (0)
- MOX – Report No . 02 / 2014 Multigrid algorithms for high order discontinuous Galerkin methods (2014) (0)
- V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes (2018) (0)
- On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods (2021) (0)
- (2007) Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods. Communications in Computational Physics . (Submitted) (2016) (0)
- Antonietti, Paola F. and Houston, Paul (2009) A class of domain decomposition preconditioners for hp- (2016) (0)
- Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions (2015) (0)
- An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue “Advanced Numerical Methods: Recent Developments, Analysis and Applications” (2018) (0)
- Simulation of 3 D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method ∗ (2019) (0)
- A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems (2016) (0)
- MOX–Report No. 8/2009 An hr-adaptive discontinuous Galerkin method for advection-diffusion problems (2009) (0)
- MOX-Report No . 03 / 2018 Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods (2018) (0)
- A hybrid finite volume - spectral element method for aeroacoustic problems (2023) (0)
- Mimetic Discretizations of Elliptic Control Problems (2012) (0)
- Universities and their Challenges In a Changing World (2021) (0)
- A numerical investigation on the use of the virtual element method for topology optimization on polygonal meshes (2017) (0)
- Virtual Element Method and Topology Optimization on polygonal meshes (2016) (0)
- MOX–Report No. 31/2009 Theoretical study and numerical simulation of textiles (2009) (0)
- Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods (2023) (0)
- AeroSPEED: a high order acoustic solver for aeroacoustic applications (2023) (0)
- Mimetic finite difference approximation of quasilinear elliptic problems (2014) (0)
- MULTIPLICATIVE SCHWARZ ALGORITHMS FOR SYMMETRIC DISCONTINUOUS GALERKIN METHODS (2007) (0)
- Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to $\alpha$-Synuclein Spreading in Parkinson's Disease (2023) (0)
- The virtual element method for linear elastodynamics models. Design, analysis, and implementation (2019) (0)
- On arbitrarily regular conforming virtual element methods for elliptic partial differential equations (2021) (0)
- Schwarz methods for Interior Penalty approximations to elliptic problems (2005) (0)
- Two-LevelSchwarzPreconditionersforSuperPenalty Discontinuous Galerkin Methods (2009) (0)
- The Age of Science-Tech Universities (2021) (0)
- MAFELAP 2019 abstracts for the mini-symposium Theoretical and computational advances in polygonal and polyhedral methods Organisers : (2019) (0)
- Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains (2013) (0)
- VEM AND TOPOLOGY OPTIMIZATION ON POLYGONAL MESHES (2016) (0)
- Discontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to α-Synuclein Spreading in Parkinson's Disease (2023) (0)
- Lack of superstable trajectories in linear viscoelasticity: a numerical approach (2023) (0)
- High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation (2015) (0)
- Strategic Choices for Universities of Science and Technology (2021) (0)
- Education, Research, Entrepreneurship, Society (2021) (0)
This paper list is powered by the following services:
Other Resources About Paola Antonietti
What Schools Are Affiliated With Paola Antonietti?
Paola Antonietti is affiliated with the following schools:
