Results 11 to 20 of about 1,103,397 (297)
Virtual Element Formulation for Finite Strain Elastodynamics [PDF]
Computer Modeling in Engineering & Sciences, 2021 The virtual element method (VEM) can be seen as an extension of the classical finite element method (FEM) based on Galerkin projection. It allows meshes with highly irregular shaped elements, including concave shapes. So far the virtual element method has been applied to various engineering problems such as elasto-plasticity, multiphysics, damage and ...
Cihan, M. +3 more
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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
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A virtual element formulation for general element shapes [PDF]
Computational Mechanics, 2020 AbstractThe virtual element method is a lively field of research, in which considerable progress has been made during the last decade and applied to many problems in physics and engineering. The method allows ansatz function of arbitrary polynomial degree. However, one of the prerequisite of the formulation is that the element edges have to bestraight.
Wriggers, P. +2 more
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Virtual Element Approximation of Eigenvalue Problems
, 2022 We discuss the approximation of eigenvalue problems associated with elliptic partial differential equations using the virtual element method. After recalling the abstract theory, we present a model problem, describing in detail the features of the scheme, and highligting the effects of the stabilizing parameters.
Boffi D., Gardini F., Gastaldi L.
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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
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An AR Map Virtual–Real Fusion Method Based on Element Recognition
ISPRS International Journal of Geo-Information, 2023 The application of AR to explore augmented map representation has become a research hotspot due to the growing application of AR in maps and geographic information in addition to the rising demand for automated map interpretation.
Zhangang Wang
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A practical guide to virtual debriefings: communities of inquiry perspective
Advances in Simulation, 2020 Many simulation programs have recently shifted towards providing remote simulations with virtual debriefings. Virtual debriefings involve educators facilitating conversations through web-based videoconferencing platforms. Facilitating debriefings through
Adam Cheng +7 more
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Virtual Elements for the Navier-Stokes problem on polygonal meshes [PDF]
, 2017 A family of Virtual Element Methods for the 2D Navier-Stokes equations is proposed and analysed. The schemes provide a discrete velocity field which is point-wise divergence-free.
da Veiga, L. Beirão +2 more
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Virtual elements for Maxwell's equations
Computers & Mathematics with Applications, 2022 We present a low order virtual element discretization for time dependent Maxwell's equations, which allow for the use of general polyhedral meshes. Both the semi- and fully-discrete schemes are considered. We derive optimal a priori estimates and validate them on a set of numerical experiments.
Beirao da Veiga, L +3 more
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Acoustical Boundary Elements: Theory and Virtual Experiments
Archives of Acoustics, 2014 This paper presents an overview of basic concepts, features and difficulties of the boundary element method (BEM) and examples of its application to exterior and interior problems.
Rafael PISCOYA, Martin OCHMANN
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