40 citations · 107 across the 11 of their papers we have counts for
12 papers
Artificial neural network evaluation of geometric constants for polygonal domains
Beatrice Crippa, Sofia Imperatore, Silvia Bertoluzza +1
We propose an approach based on Artificial Neural Networks (ANNs) to evaluate geometric constants relevant to the analysis and design of numerical schemes for partial differential…
The virtual element method on polygonal pixel-based tessellations
Silvia Bertoluzza, Monica Montardini, Micol Pennacchio +1
We analyze and validate the virtual element method combined with a boundary correction similar to the one in [1,2], to solve problems on two dimensional domains with curved boundar…
Interior estimates for the Virtual Element Method
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
We analyze the local accuracy of the virtual element method. More precisely, we prove an error bound similar to the one holding for the finite element method, namely, that the loca…
Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
In the framework of virtual element discretizazions, we address the problem of imposing non homogeneous Dirichlet boundary conditions in a weak form, both on polygonal/polyhedral d…
Stabilization of the nonconforming virtual element method
Silvia Bertoluzza, Gianmarco Manzini, Micol Pennacchio +1
We address the issue of designing robust stabilization terms for the nonconforming virtual element method. To this end, we transfer the problem of defining the stabilizing bilinear…
VEM and the Mesh
Tommaso Sorgente, Daniele Prada, Daniela Cabiddu +6
In this work we report some results, obtained within the framework of the ERC Project CHANGE, on the impact on the performance of the virtual element method of the shape of the pol…
Benchmark of Polygon Quality Metrics for Polytopal Element Methods
M. Attene, S. Biasotti, S. Bertoluzza +6
Polytopal Element Methods (PEM) allow to solve differential equations on general polygonal and polyhedral grids, potentially offering great flexibility to mesh generation algorithm…
Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study
Daniele Prada, Micol Pennacchio
We investigate the performance of algebraic multigrid methods for the solution of the linear system of equations arising from a Virtual Element discretization. We provide numerical…
FETI-DP for the three-dimensional Virtual Element Method
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
We deal with the Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) preconditioner for elliptic problems discretized by the virtual element method (VEM). We extend th…
High order VEM on curved domains
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
We deal with the virtual element method (VEM) for solving the Poisson equation on a domain with curved boundaries. Given a polygonal approximation of the domain , the…
FETI-DP preconditioners for the Virtual Element Method on general 2D meshes
Daniele Prada, Silvia Bertoluzza, Micol Pennacchio +1
We analyze the performance of a state-of-the-art domain decomposition approach, the Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) method, for the efficient solut…
BDDC and FETI-DP for the Virtual Element Method
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
We build and analyze Balancing Domain Decomposition by Constraint (BDDC) and Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) preconditioners for elliptic problems…