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09/06/2023
Tensor Networks for Solving Realistic Time-independent Boltzmann Neutron Transport Equation
Tensor network techniques, known for their low-rank approximation abilit...
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07/29/2023
A C^1-conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation
We present a two-dimensional conforming virtual element method for the f...
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08/20/2022
Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks
We propose a quality-based optimization strategy to reduce the total num...
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05/13/2022
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method
Modeling crack initiation and propagation in brittle materials is of gre...
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01/12/2022
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
We present a four-field Virtual Element discretization for the time-depe...
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12/28/2021
Conforming virtual element approximations of the two-dimensional Stokes problem
The virtual element method (VEM) is a Galerkin approximation method that...
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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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12/25/2021
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem
The Virtual Element Method (VEM) is a Galerkin approximation method that...
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12/21/2021
Polyhedral Mesh Quality Indicator for the Virtual Element Method
We present the design of a mesh quality indicator that can predict the b...
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11/07/2021
Extended virtual element method for two-dimensional linear elastic fracture
In this paper, we propose an eXtended Virtual Element Method (X-VEM) for...
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10/21/2021
Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations
We study the conservation properties of the Hermite-discontinuous Galerk...
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05/30/2021
Virtual element approximation of two-dimensional parabolic variational inequalities
We design a virtual element method for the numerical treatment of the tw...
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05/05/2021
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces
We develop a geometrically intrinsic formulation of the arbitrary-order ...
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04/08/2021
The virtual element method for the coupled system of magneto-hydrodynamics
In this work, we review the framework of the Virtual Element Method (VEM...
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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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04/05/2021
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations
The accuracy and effectiveness of Hermite spectral methods for the numer...
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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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03/01/2021
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system
Spectral approximation based on Hermite-Fourier expansion of the Vlasov-...
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02/08/2021
The role of mesh quality and mesh quality indicators in the Virtual Element Method
Since its introduction, the Virtual Element Method (VEM) was shown to be...
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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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09/17/2019