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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...
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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...
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06/07/2022
The virtual element method on image-based domain approximations
We analyze and validate the virtual element method combined with a proje...
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04/21/2022
Interior estimates for the Virtual Element Method
We analyze the local accuracy of the virtual element method. More precis...
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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...
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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-...
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03/05/2021
Stabilization of the nonconforming virtual element method
We address the issue of designing robust stabilization terms for the non...
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03/02/2021
VEM and the Mesh
In this work we report some results, obtained within the framework of th...
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12/21/2020
A p-robust polygonal discontinuous Galerkin method with minus one stabilization
We introduce a new stabilization for discontinuous Galerkin methods for ...
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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...
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12/20/2019
The Virtual Element Method for a Minimal Surface Problem
In this paper we consider the Virtual Element discretization of a minima...
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10/21/2019