Silvia Bertoluzza | DeepAI

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∙ 07/11/2023

Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs

In this paper, we provide a theoretical analysis of the recently introdu...

0 Silvia Bertoluzza, et al. ∙

∙ 06/21/2022

Artificial Neural Network evaluation of Poincaré constant for Voronoi polygons

We propose a method, based on Artificial Neural Networks, that learns th...

0 Beatrice Crippa, et al. ∙

∙ 06/07/2022

The virtual element method on image-based domain approximations

We analyze and validate the virtual element method combined with a proje...

0 Silvia Bertoluzza, et al. ∙

∙ 04/21/2022

Interior estimates for the Virtual Element Method

We analyze the local accuracy of the virtual element method. More precis...

0 Silvia Bertoluzza, et al. ∙

∙ 12/30/2021

Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements

In the framework of virtual element discretizazions, we address the prob...

0 Silvia Bertoluzza, et al. ∙

∙ 11/22/2021

A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media

Problems with localized nonhomogeneous material properties present well-...

0 Alex Viguerie, et al. ∙

∙ 03/05/2021

Stabilization of the nonconforming virtual element method

We address the issue of designing robust stabilization terms for the non...

0 Silvia Bertoluzza, et al. ∙

∙ 03/02/2021

VEM and the Mesh

In this work we report some results, obtained within the framework of th...

0 Tommaso Sorgente, et al. ∙

∙ 12/21/2020

A p-robust polygonal discontinuous Galerkin method with minus one stabilization

We introduce a new stabilization for discontinuous Galerkin methods for ...

0 Silvia Bertoluzza, et al. ∙

∙ 08/18/2020

An a posteriori error estimate of the outer normal derivative using dual weights

We derive a residual based a-posteriori error estimate for the outer nor...

0 Silvia Bertoluzza, et al. ∙

∙ 12/20/2019

The Virtual Element Method for a Minimal Surface Problem

In this paper we consider the Virtual Element discretization of a minima...

0 Paola Francesca Antonietti, et al. ∙

∙ 10/21/2019

A Fat boundary-type method for localized nonhomogeneous material problems

Problems with localized nonhomogeneous material properties arise frequen...

0 Alex Viguerie, et al. ∙

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