Results 11 to 20 of about 648,541 (281)

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

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

open access: yesEntropy (Basel), 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 ...
Li L, Su H, He Y.
europepmc   +2 more sources

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

open access: yesEntropy (Basel), 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.
Wang Q, Zhou Z.
europepmc   +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

A Simple, Accurate and Semi-Analytical Meshless Method for Solving Laplace and Helmholtz Equations in Complex Two-Dimensional Geometries

open access: yesMathematics, 2022
A localized virtual boundary element–meshless collocation method (LVBE-MCM) is proposed to solve Laplace and Helmholtz equations in complex two-dimensional (2D) geometries.
Xingxing Yue   +3 more
doaj   +1 more source

A priori error analysis of virtual element method for contact problem

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2022
As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech.
Fei Wang, B. Daya Reddy
doaj   +1 more source

Adhesive Boundary Element Method Using Virtual Crack Closure Technique

open access: yesFrontiers in Mechanical Engineering, 2021
In this study, a new adhesive contact model is built upon a boundary element method (BEM) model developed by Pohrt and Popov (2015). The strain energy release rate (SERR) on the edge of the bonding interface is evaluated using Virtual Crack Closure ...
Yang Xu, Rongxin Zhou
doaj   +1 more source

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

open access: yesSci Rep
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
Du Y, Cui W, Ba B, Su G, Zhang L.
europepmc   +2 more sources

The Virtual Element Method for the Dam Foundation With Joint

open access: yesFrontiers in Earth Science, 2022
The contact is a typical non-linear problem that exists in various projects. For traditional three-node triangular mesh and four-node quadrilateral mesh, the accuracy and convergence of the calculation results are affected by the quality of the mesh. The
Yinghao Sun   +7 more
doaj   +1 more source

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