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Penalty Virtual Element Method for the 3D Incompressible Flow on Polyhedron Mesh [PDF]

open access: yesEntropy, 2022
In this paper, a penalty virtual element method (VEM) on polyhedral mesh for solving the 3D incompressible flow is proposed and analyzed. The remarkable feature of VEM is that it does not require an explicit computation of the trial and test space ...
Lulu Li, Haiyan Su, Yinnian He
doaj   +2 more sources

SUPG-Stabilized Virtual Element Method for Optimal Control Problem Governed by a Convection Dominated Diffusion Equation [PDF]

open access: yesEntropy, 2021
In this paper, the streamline upwind/Petrov Galerkin (SUPG) stabilized virtual element method (VEM) for optimal control problem governed by a convection dominated diffusion equation is investigated.
Qiming Wang, Zhaojie Zhou
doaj   +2 more sources

Stability Analysis for the Virtual Element Method [PDF]

open access: yesMathematical Models and Methods in Applied Sciences, 2016
We analyse the Virtual Element Methods (VEM) on a simple elliptic model problem, allowing for more general meshes than the one typically considered in the VEM literature.
da Veiga, Lourenco Beirao   +2 more
core   +6 more sources

The Virtual Element Method with curved edges [PDF]

open access: yesESAIM: Mathematical Modelling and Numerical Analysis, 2018
In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it happens in the approximation of problems posed on a curved domain or with a curved interface ...
da Veiga, L. Beirão   +2 more
core   +6 more sources

Dual virtual element method for discrete fractures networks [PDF]

open access: yesSIAM Journal on Scientific Computing, 2017
Discrete fracture networks is a key ingredient in the simulation of physical processes which involve fluid flow in the underground, when the surrounding rock matrix is considered impervious.
Fumagalli, Alessio, Keilegavlen, Eirik
core   +9 more sources

The nonconforming virtual element method for eigenvalue problems [PDF]

open access: yesESAIM: Mathematical Modelling and Numerical Analysis, 2018
We analyse the nonconforming Virtual Element Method (VEM) for the approximation of elliptic eigenvalue problems. The nonconforming VEM allow to treat in the same formulation the two- and three-dimensional case.We present two possible formulations of the ...
Gardini, Francesca   +2 more
core   +5 more sources

The low sidelobe level high-gain adaptive beamforming method for uniform subarrays [PDF]

open access: yesScientific Reports
Aiming at the weak signal enhancement, target detection and anti-jamming, and reduction of energy consumption faced by array radar technology in complex electromagnetic environments, this paper proposes a low sidelobe level high-gain adaptive beamforming
Yuxi Du   +4 more
doaj   +2 more sources

MIMO radar DOA element position error correction method based on overlapping reference element matrix reconstruction [PDF]

open access: yesScientific Reports
Aiming at the problem of the degradation of angle estimation performance of the MUSIC algorithm due to the position error of the array element, this paper proposes a MIMO radar DOA array element position error correction method based on overlapping ...
Feng Tian   +3 more
doaj   +2 more sources

An Immersed Virtual Element Method Based on Interface Problems

open access: yesJournal of Harbin University of Science and Technology, 2023
An immersed virtual element method is developed to solve the second-order interface problems in two-dimensional space , which overcomes the problem that the constructed space cannot satisfy both the coordination and jump conditions. The key idea is to
MA Jun chi, SUO Yu yang
doaj   +1 more source

The virtual element method

open access: yesActa Numerica, 2023
The present review paper has several objectives. Its primary aim is to give an idea of the general features of virtual element methods (VEMs), which were introduced about a decade ago in the field of numerical methods for partial differential equations, in order to allow decompositions of the computational domain into polygons or polyhedra of a very ...
Beirao Da Veiga, L   +3 more
openaire   +1 more source

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