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09/20/2023
Level set-fitted polytopal meshes with application to structural topology optimization
We propose a method to modify a polygonal mesh in order to fit the zero-...
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08/21/2023
Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method
We consider the solution to the biharmonic equation in mixed form discre...
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03/30/2023
A DG-VEM method for the dissipative wave equation
A novel space-time discretization for the (linear) scalar-valued dissipa...
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05/02/2022
Virtual Element Method for the Navier–Stokes Equation coupled with the Heat Equation
We consider the Virtual Element discretization of the Navier-Stokes equa...
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02/26/2022
Non-isothermal non-Newtonian fluids: the stationary case
The stationary Navier-Stokes equations for a non-Newtonian incompressibl...
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12/31/2021
C^1-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration
We consider the C^1-Virtual Element Method (VEM) for the conforming nume...
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12/25/2021
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations
The Virtual Element Method (VEM) is a very effective framework to design...
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12/21/2021
Agglomeration-based geometric multigrid schemes for the Virtual Element Method
In this paper we analyse the convergence properties of two-level, W-cycl...
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04/07/2021
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations
The Virtual Element Method is well suited to the formulation of arbitrar...
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02/02/2021
The conforming virtual element method for polyharmonic and elastodynamics problems: a review
In this paper, we review recent results on the conforming virtual elemen...
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01/09/2021
SUIHTER: A new mathematical model for COVID-19. Application to the analysis of the second epidemic outbreak in Italy
The COVID-19 epidemic is the last of a long list of pandemics that have ...
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12/03/2020
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
We present a stability analysis of the Discontinuous Galerkin method on ...
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02/15/2020
Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures
We present a numerical approximation of Darcy's flow through a porous me...
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01/02/2020
Anisotropic a posteriori error estimate for the Virtual Element Method
We derive an anisotropic a posteriori error estimate for the adaptive co...
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12/20/2019