Daniele A. Di Pietro | DeepAI

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∙ 05/09/2023

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

In this work, following the Discrete de Rham (DDR) paradigm, we develop ...

0 Daniele A. Di Pietro, et al. ∙

∙ 03/20/2023

An exterior calculus framework for polytopal methods

We develop in this work the first polytopal complexes of differential fo...

0 Francesco Bonaldi, et al. ∙

∙ 01/09/2023

A polytopal method for the Brinkman problem robust in all regimes

In this work we develop a discretisation method for the Brinkman problem...

0 Daniele A. Di Pietro, et al. ∙

∙ 10/27/2022

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

In this work, following the discrete de Rham (DDR) approach, we develop ...

0 Daniele A. Di Pietro, et al. ∙

∙ 09/02/2022

Cohomology of the discrete de Rham complex on domains of general topology

In this work we prove that, for a general polyhedral domain of $\Real^3$...

0 Daniele A. Di Pietro, et al. ∙

∙ 07/14/2022

A serendipity fully discrete div-div complex on polygonal meshes

In this work we address the reduction of face degrees of freedom (DOFs) ...

0 Michele Botti, et al. ∙

∙ 03/14/2022

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

In a recent work [10], we have introduced a pressure-robust Hybrid High-...

0 Daniel Castanon Quiroz, et al. ∙

∙ 03/06/2022

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

In this work we investigate from a broad perspective the reduction of de...

0 Daniele A. Di Pietro, et al. ∙

∙ 12/29/2021

A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem

In this work we develop a novel fully discrete version of the plates com...

0 Daniele A. Di Pietro, et al. ∙

∙ 12/17/2021

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

This paper contains two major contributions. First we derive, following ...

0 Lourenco Beirao da Veiga, et al. ∙

∙ 05/25/2021

A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes

In this work we propose a discretisation method for the Reissner–Mindlin...

0 Daniele A. Di Pietro, et al. ∙

∙ 07/07/2020

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

We prove a discrete version of the first Weber inequality on three-dimen...

0 Florent Chave, et al. ∙

∙ 05/14/2020

An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence

In this work, we develop a discretisation method for the mixed formulati...

0 Daniele A. Di Pietro, et al. ∙

∙ 03/30/2020

A Hybrid High-Order method for creeping flows of non-Newtonian fluids

In this paper, we design and analyze a Hybrid High-Order discretization ...

0 Michele Botti, et al. ∙

∙ 12/08/2019

An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods

In this work, we introduce a novel abstract framework for the stability ...

0 Lorenzo Botti, et al. ∙

∙ 11/09/2019

Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra

In this work, merging ideas from compatible discretisations and polyhedr...

0 Daniele A. Di Pietro, et al. ∙

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