Results 11 to 20 of about 658,337 (286)
Stability Analysis for the Virtual Element Method [PDF]
Mathematical 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
Some Error Analysis on Virtual Element Methods [PDF]
Calcolo, 2017 Some error analysis on virtual element methods including inverse inequalities, norm equivalence, and interpolation error estimates are presented for polygonal meshes which admits a virtual quasi-uniform ...
Chen, Long, Huang, Jianguo
core +4 more sources
Dual Virtual Element Methods for Discrete Fracture Matrix models [PDF]
Oil & Gas Science and Technology, 2019 The accurate description of fluid flow and transport in fractured porous media is of paramount importance to capture the macroscopic behavior of an oil reservoir, a geothermal system, or a CO2 sequestration site, to name few applications.
Fumagalli Alessio, Keilegavlen Eirik
doaj +6 more sources
The nonconforming virtual element method for eigenvalue problems [PDF]
ESAIM: 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
Acta 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
The nonconforming virtual element method [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2016 We introduce the nonconforming Virtual Element Method (VEM) for the approximation of second order elliptic problems. We present the construction of the new element in two and three dimensions, highlighting the main differences with the conforming VEM and the classical nonconforming finite element methods. We provide the error analysis and establish the
Ayuso De Dios, B +2 more
openaire +5 more sources
Dynamic Reduction-Based Virtual Models for Digital Twins—A Comparative Study
Applied Sciences, 2022 Digital models are the foundation of digital twins, which form the basis of autonomous off-road vehicles. Developing virtual models of off-road vehicles using dynamic reduction techniques is one of several approaches.
Soumya Maulik +2 more
doaj +1 more source
Virtual element method for quasilinear elliptic problems [PDF]
IMA Journal of Numerical Analysis, 2019 Abstract A virtual element method for the quasilinear equation $-\textrm{div} ({\boldsymbol \kappa }(u)\operatorname{grad} u)=f$ using general polygonal and polyhedral meshes is presented and analysed. The nonlinear coefficient is evaluated with the piecewise polynomial projection of the virtual element ansatz.
Cangiani A. +3 more
openaire +3 more sources
Analysis of vibrodiagnostics methods in the technical state study of designed multimedia mobile scenes [PDF]
MATEC Web of Conferences, 2019 The paper presents the possibilities of using vibroacoustic methods in the study of the technical condition of designed multimedia mobile scenes. In particular, the possibility of implementing modal analysis methods in modelling and diagnostic research ...
Łukasiewicz Marcin +2 more
doaj +1 more source
Superconvergent gradient recovery for virtual element methods [PDF]
Mathematical Models and Methods in Applied Sciences, 2019 Virtual element method is a new promising finite element method using general polygonal meshes. Its optimal a priori error estimates are well established in the literature. In this paper, we take a different viewpoint. We try to uncover the superconvergent property of virtual element methods by doing some local post-processing only on the degrees of ...
Guo, Hailong, Xie, Cong, Zhao, Ren
openaire +3 more sources