Results 71 to 80 of about 18,745,540 (280)
The Nonconforming Virtual Element Method with Curved Edges
Journal of Scientific ComputingWe introduce a nonconforming virtual element method for the Poisson equation on domains with curved boundary and internal interfaces. We prove arbitrary order optimal convergence in the energy and $L^2$ norms, and validate the theoretical results with numerical experiments.
Beirao da Veiga, L. +3 more
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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
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Virtual element method for the Laplace-Beltrami equation on surfaces [PDF]
, 2018 We present and analyze a Virtual Element Method (VEM) for the Laplace-Beltrami equa- tion on a surface in R3, that we call Surface Virtual Element Method (SVEM).
Ivonne Sgura +3 more
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur +5 more
wiley +1 more source
The Virtual Element Method for Engineers
, 2022 The virtual element method (VEM) is a relatively new technique, similar to the finite element method (FEM), but having no restriction on the number of element sides.
Augarde, C.E., O'Hare, T.J.
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A virtual element method for the acoustic vibration problem [PDF]
Numerische Mathematik, 2016 We analyze in this paper a virtual element approximation for the acoustic vibration problem. We consider a variational formulation relying only on the fluid displacement and propose a discretization by means of H(div) virtual elements with vanishing rotor.
Lourenço Beirão da Veiga +3 more
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Extended virtual element method for two-dimensional linear elastic fracture
, 2022 In this paper, we propose an eXtended Virtual Element Method (X-VEM) for two-dimensional linear elastic fracture. This approach, which is an extension of the standard Virtual Element Method (VEM), facilitates mesh-independent modeling of crack ...
Chiozzi A. +11 more
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Budownictwo i Architektura, 2020 The paper presents a comparative analysis of the behaviour of a composite beam, consisted of a precast element with indented surface and new concrete layer, subjected to 4-point bending.
Grzegorz Sadowski +2 more
doaj +1 more source
Introduction to the Virtual Element Method for 2D Elasticity
CoRR, 2022 28 pages, 9 figures Corrections: Section 13: strain operator definition now refers to some equations in the paper for clarification on using the strain operator Section 13: Typo fixed regarding dimensions of capital Pi matrix, equation (6.22) has been ...
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