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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 ...
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03/20/2023
An exterior calculus framework for polytopal methods
We develop in this work the first polytopal complexes of differential fo...
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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...
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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 ...
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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 $\Real^3$...
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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) ...
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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-...
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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...
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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...
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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 ...
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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...
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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...
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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...
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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 ...
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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 ...
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11/09/2019