Daniele A. Di Pietro

Orcid: 0000-0003-0959-8830

According to our database1, Daniele A. Di Pietro authored at least 62 papers between 2006 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Homogeneous multigrid for hybrid discretizations: application to HHO methods.
CoRR, 2024

A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection.
CoRR, 2024

A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations.
CoRR, 2024

An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact.
CoRR, 2024

2023
Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations.
SIAM J. Sci. Comput., June, 2023

An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency.
Found. Comput. Math., February, 2023

High-order multigrid strategies for hybrid high-order discretizations of elliptic equations.
Numer. Linear Algebra Appl., January, 2023

Uniform Poincaré inequalities for the Discrete de Rham complex on general domains.
CoRR, 2023

A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem.
CoRR, 2023

An exterior calculus framework for polytopal methods.
CoRR, 2023

A polytopal method for the Brinkman problem robust in all regimes.
CoRR, 2023

2022
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem.
Math. Comput., September, 2022

An arbitrary-order discrete rot-rot complex on polygonal meshes with application to a quad-rot problem.
CoRR, 2022

Cohomology of the discrete de Rham complex on domains of general topology.
CoRR, 2022

A serendipity fully discrete div-div complex on polygonal meshes.
CoRR, 2022

A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes.
CoRR, 2022

Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method.
CoRR, 2022

A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method.
Comput. Math. Appl., 2022

A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes.
Comput. Math. Appl., 2022

2021
An H-Multigrid Method for Hybrid High-Order Discretizations.
SIAM J. Sci. Comput., 2021

An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence.
J. Comput. Phys., 2021

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes.
CoRR, 2021

A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour.
CoRR, 2021

A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes.
CoRR, 2021

An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods.
Comput. Math. Appl., 2021

2020
Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems.
CoRR, 2020

p-Multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation.
CoRR, 2020

A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics.
CoRR, 2020

A Hybrid High-Order method for creeping flows of non-Newtonian fluids.
CoRR, 2020

A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity.
Comput. Methods Appl. Math., 2020

A Hybrid High-Order method for the incompressible Navier-Stokes problem robust for large irrotational body forces.
Comput. Math. Appl., 2020

2019
Preface: Special Issue on Model Reduction.
J. Sci. Comput., 2019

A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device.
J. Comput. Phys., 2019

Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra.
CoRR, 2019

A high-order discretization of nonlinear poroelasticity.
CoRR, 2019

2018
A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media.
SIAM J. Sci. Comput., 2018

A Hybrid High-Order Method for the Steady Incompressible Navier-Stokes Problem.
J. Sci. Comput., 2018

An Advection-Robust Hybrid High-Order Method for the Oseen Problem.
J. Sci. Comput., 2018

Weighted interior penalty discretization of fully nonlinear and weakly dispersive free surface shallow water flows.
J. Comput. Phys., 2018

Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes.
J. Comput. Phys., 2018

Assessment of Hybrid High-Order methods on curved meshes and comparison with discontinuous Galerkin methods.
J. Comput. Phys., 2018

Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming.
J. Comput. Appl. Math., 2018

2017
A Hybrid High-Order Method for Nonlinear Elasticity.
SIAM J. Numer. Anal., 2017

A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes.
Math. Comput., 2017

An hp-Hybrid High-Order Method for Variable Diffusion on General Meshes.
Comput. Methods Appl. Math., 2017

Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis.
Comput. Math. Appl., 2017

2016
A Nonconforming High-Order Method for the Biot Problem on General Meshes.
SIAM J. Sci. Comput., 2016

A Hybrid High-Order Method for the Cahn-Hilliard problem in Mixed Form.
SIAM J. Numer. Anal., 2016

An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics.
J. Comput. Phys., 2016

2015
A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes.
SIAM J. Numer. Anal., 2015

Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem.
Math. Comput., 2015

An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow.
Math. Comput., 2015

Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations.
Comput. Methods Appl. Math., 2015

Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes.
Comput. Aided Geom. Des., 2015

2014
A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media.
J. Comput. Phys., 2014

An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators.
Comput. Methods Appl. Math., 2014

An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media.
Comput. Math. Appl., 2014

2012
On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations.
J. Comput. Phys., 2012

2011
A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure.
J. Comput. Phys., 2011

2010
Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations.
Math. Comput., 2010

2008
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection.
SIAM J. Numer. Anal., 2008

2006
An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations.
J. Comput. Phys., 2006


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